3597:
cross-polarized channel over the power in the co-polarized channel, named as linear depolarization ratio, is the polarimetric variable obtained by cloud radars of this type. Often cloud radars have two receiving units, which allows simultaneous measurements of the orthogonal components of the received signal. Some cloud radars have only one receiving unit and measure the orthogonal components consequently, with pulse-to-pulse switching of the receiving channel. Many of operational cloud radars with LDR-mode are pointed vertically together with other remote sensing instruments in order to retrieve microphysical properties of cloud particles. LDR, measured by vertically pointed cloud radar, is used for the detection of the melting layer (also denominated as
3063:. It corresponds to the variance of the Doppler spectrum. The Doppler width basically is a measure of the width of the spectrum of the detected velocities. It can also be a measure of the number of modes the targets size distribution has. A mono-modal distribution gives a small spectral width. A distribution that has several modes yields a larger spectral width, as illustrated in Figure 5. The spectral width is also influenced by turbulent motion of the targets in the sample volume: the spectral width increases with increasing turbulence.
2288:
2993:
3590:
that is one of the main problems in remote observations of mixed-phase clouds. The assumed shape of ice crystals is considered to be the main source of errors in size and number concentration retrievals based on vertical combined lidar and radar observations. Furthermore, in the existing numerical weather prediction models the assumed shape defines the depositional growth rate of ice particles and the area-mass-terminal velocity relations of ice crystals. Thus, ice habit can lead to significant uncertainties.
3079:
volume. Terminal velocity contains the information about microphysical properties of cloud particles. In order to obtain the terminal velocity from the cloud-radar observations, the influence of air motions that shift the spectrum have to be removed from the
Doppler spectra, improving in this way the microphysics representativity. An approach to correct this shift is given by Kollias et al., improving the accuracy of the relation between the corrected Doppler velocity and the particle fall velocities.
3718:
3605:
therefore, it is used in cloud radars for the classification of ice crystals. Determination of ice crystals' habit by ground based cloud radars requires elevation scanning and is based on analysis of the angular changes of the polarimetric variables. Evaluation of SLDR with in-situ observations showed the possibility to discriminate between rounded graupel, dendrite crystals, and aggregated ice particles.
3304:
value around zero indicates a symmetric spectrum. In this way, the shape of a
Doppler gives information on changes of cloud microphysics or of dynamical changes within the measured volume. The higher the elevation of the radar is, the higher are the dynamical influences on this parameter. Because wind shears lead to a broadening of the Doppler spectrum width, they can lead to rapid changes in
3736:
3088:
be bi- or multiple-modal spectra. This means that the measured volume contains more than one hydrometeor population, which leads to two or more modes in the
Doppler spectrum because of the different terminal velocities. A rapid change in Doppler width in combination with the mean Doppler velocity can also be used to separate two hydrometeor population.
230:
rectangular shaped waveguides having a vertical axis of symmetry shows that by setting appropriate dimensions of the waveguide, the resulting electric field is propagating parallel to the interior space of the waveguide in the vertical direction, having a y sinusoidal in time component (transverse wave).
164:, while shorter wavelengths are more sensitive to smaller particles. Accordingly, radar signals are less attenuated in Ka-band than in W-band, while W-band radars are able to detect smaller particles. Even though, the cloud radar beams are much less attenuated by cloud or precipitation particles than the
3604:
Some cloud radars operate in the SLDR-mode, that is a modification of traditional LDR-mode. In this mode the antenna system of the radar is rotated by 45°, i.e. the transmitted signal has +45° or -45° polarization. In contrast to LDR-mode, SLDR-mode is less sensitive to the particles orientation and,
3091:
Since the air motion in the atmosphere affects the
Doppler width, this parameter provides information about turbulence within the measured volume. Up- and downdrafts slow down the terminal fall velocities and can decrease or increase the Doppler width. If the measurements are not done pointing to the
3303:
This parameter relates the location of the spectrum peak in respect to the mean spectrum value. Therefore, a positive skewness value indicates that the peak is located to the left with respect to the mean. A negative skewed spectrum has its peak on the right side with respect to the spectrum mean. A
3087:
The
Doppler width, or Doppler spectrum width, is the standard deviation of the spectrum. Accordingly, small values stand for narrow spectra, while higher spectrum width corresponds to a bigger spreading of the hydrometeors over the velocity domain (frequency domain). Reasons for a higher width could
2489:
Usually numerous targets are present in the sample volume of the radar. Each of the individual targets produces a frequency shift according to its radial velocity. Measuring the returned power in any interval of the frequency shift allows the detection of the
Doppler spectrum. This is illustrated in
225:
Pulsed Radar systems are considered active instruments because they transmit in the atmosphere an electromagnetic wave and receive the signal reflected back from the atmosphere. In such radars, the antenna sends out the electromagnetic wave, and then collects the returned signal. Radars are composed
3805:
Outside of these networks, some research sites are also operating cloud radars. For example, at the
Chilbolton Observatory (UK), two mm-wavelength radars are operating continuously at 3.2 and 9 mm for the study of insects migrations, while a 35 GHz cloud radar is operating in Cabauw (the
3311:
If the radar measurements are done vertically, the skewness of the
Doppler spectrum gives information about measured cloud microphysics. The horizontal wind within the measured volumes cause only a shift of the whole spectrum within the Doppler domain. This means that the spectrum is shifted along
3661:
types (cloud droplets, drizzle, rain drops, ice particles, snow, etc.) and non-hydrometeorological targets. All these targets have different vertical velocities and shapes, and therefore the
Doppler spectra and LDR can be used to distinguish between targets. In the figure below, an example of the
3589:
and airborne cloud radars. These techniques enable advanced clutter filtering, discrimination between meteorological and non-meteorological targets, and classification of atmospheric scatterers. Another potential of polarimetric measurements of cloud radars is the estimation of ice crystals habit
3078:
Given the mean
Doppler velocity (mean frequency of the power spectrum) of the measured volume along the line of sight – the radial velocity. For vertical measurements, the Doppler velocities is the sum of terminal velocity of particles, caused by gravity force, and air motions within the measured
1224:
As already mentioned, a weather signal is a composite of echoes coming from a very large number of hydrometeors. Such echoes are received continuously at the radar antenna after a delay equal to the time taken by the wave to reach the target and come back to the radar. Since individual echoes are
757:
and is zero outside the pulse envelope, as shown in figure 3 on page 10 of. This EM wave is sent to the atmosphere: every pulse is scattered by a volume of air filled with hydrometeors and comes back to the radar. The antenna collects the returned signal, which is then filtered to remove the high
229:
The electromagnetic wave sent in the atmosphere is an EM wave of the form shown in figure on page 10 of. Such wave is generated by an oscillator in the transmitter unit and then transferred through wave guides to the antenna, which radiates it in the atmosphere. The theory of propagating waves in
3596:
Most of the existing pulse cloud radars operate in the LDR-mode. In this mode, a radar transmits a horizontally polarized radiation and receives horizontal and vertical components of the scattered radiation in co-polarized and cross-polarized channels, respectively. The ratio of the power in the
3554:<3 then it is called platykurtic, or platykurtotic. The shape of such a spectrum (in some cases) may have a lower, wider peak around the mean and thinner tails, but it can also be infinitely peaked, so kurtosis is not a good measure of "peakedness." Examples of such shapes can be found in the
5766:
Bouniol, Dominique; Protat, Alain; Delanoë, Julien; Pelon, Jacques; Piriou, Jean-Marcel; Bouyssel, François; Tompkins, Adrian M.; Wilson, Damian R.; Morille, Yohann; Haeffelin, Martial; O’Connor, Ewan J.; Hogan, Robin J.; Illingworth, Anthony J.; Donovan, David P.; Baltink, Henk-Klein (2010).
3640:
CDR-mode cloud radars transmit a circularly polarized wave and receive co-polarized and cross-polarized components. The output polarimetric variable is the so-called circular depolarization ratio (CDR), and it is calculated as the ratio of cross-polarized power over the co-polarized power. In
3549:
is >3, then the spectrum is called leptokurtic, or leptokurtotic. It can be assumed that the Doppler spectrum is dominated by one single particle population that leads to a strong and narrow peak, which in some (but not all) cases is indicated by high kurtosis. If the spectrum has
22:
987:
3092:
zenith, the horizontal wind component influences the width as well. The knowledge of the actual wind components in the atmosphere can be used to correct the Doppler spectrum, so that the retrieved microphysical parameters can be improved and the uncertainties decreased.
3580:
methods are considered to be a powerful tool in the remote sensing of the atmosphere, and particularly in radar observations of clouds and precipitation. Polarimetric techniques have been well developed for operational use in weather radar networks such as American
3283:
475:
3514:
171:
Cloud radars are used nowadays to determine cloud boundaries (e.g. cloud bases and tops) and to estimate clouds microphysical properties, such as particle size and mass content, which aids in understanding how clouds reflect, absorb and transform
2974:
1482:
2817:
3608:
Polarization-agile cloud radars use pulse-to-pulse switching between horizontal and vertical polarization state of the transmitted wave. In addition to LDR, such systems are able to measure differential reflectivity
1282:
defines the range of the scatterers that contribute mostly to the sample of the signal. The number of distinct resolution volumes in space from which the radar collects information is equal to the number of samples
3725:
system in Tito Scalo, Potenza (Italy) on 2 December 2014: (a) equivalent reflectivity, (b) Linear Depolarization Ratio, (c) Doppler velocity, where negative values indicate movement towards the radar, and (d) peak
2612:
145:). Usually they operate pointing to the zenith, but an increasing number of them have nowadays scanning units, that allow to retrieve additional information such as volume information when performing various
3066:
The expressions to calculate the Kurtosis and the Skewness are coming out of mathematical statistics several formulations are used. Some of them can be found in the quoted literature in Kurtosis section.
769:
125:
ranges from a few meters for cloud radars using frequency modulation of the transmitted signal (e.g. 4 m for the Frequency-Modulated Continuous-Wave (FMCW) 94 GHz cloud radar operating at
5721:
de Boer, Gijs; Eloranta, Edwin W.; Shupe, Matthew D. (2009). "Arctic Mixed-Phase Stratiform Cloud Properties from Multiple Years of Surface-Based Measurements at Two High-Latitude Locations".
3112:
2261:
299:
3346:
1990:
As radar transmits coherent pulses with a certain pulse repetition frequency (PRF), the doppler processing technique is applied. A Power spectrum can be calculated from a sequence of
5036:
1969:
1757:
3601:) and clutter filtering. The application of LDR-mode for the shape classification in scanning cloud radars is limited by its high sensitivity to the orientation of scatterers.
2041:
661:
is the amplitude of the wave which depends on the power delivered to the antenna, on its characteristics and it is affected by the power losses in the waveguides. The function
289:
1126:
2840:
1318:
2143:
632:
1219:
1159:
1090:
518:
2460:
5680:
Shupe, Matthew D.; Daniel, John S.; De Boer, Gijs; Eloranta, Edwin W.; Kollias, Pavlos; Long, Charles N.; Luke, Edward P.; Turner, David D.; Verlinde, Johannes (2008).
1525:
1280:
1250:
1186:
705:
1036:
1128:
represents the shift in phase of the scattered wave in the direction of the radar due to the relative radial velocity of the target with respect to the radar, while
755:
2664:
2325:
2095:
2068:
1552:
1308:
1063:
725:
659:
605:
2418:
2385:
196:
2352:
3691:
The melting layer can be identified by an enhancement of the LDR, which is caused by irregular ice particles coated by liquid water during the phase transition.
2163:
578:
558:
538:
251:
207:
satellite since 2006. The first spaceborne CPR with Doppler capability will be launched in March 2023 aboard the Earth Clouds, Aerosols and Radiation Explorer (
761:
The scattered electric field collected by the antenna is a composite of discrete echoes from all the scatterers contained in the volume and can be written as:
3565:
analysis started quite recently, so there are still few scientific publications dealing with this parameter. An example can be found in Kollias et al., where
2483:
3061:
3038:
3014:
2684:
2511:
195:
Even though most cloud radar systems are ground-based, they can also be airborne and space-based. Examples of airborne systems are cloud radars installed on
5890:"Evaluation of a 45° Slant Quasi-Linear Radar Polarization State for Distinguishing Drizzle Droplets, Pristine Ice Crystals, and Less Regular Ice Particles"
6296:
2706:
3641:
comparison with LDR, CDR is not affected by particles aligned in polarization plane, e.g. insects or ice crystals in electrified atmospheric conditions.
117:
is maximum. These frequencies correspond to wavelengths around 8 and 3 mm. Millimeter cloud radars have a high temporal and range resolution:
184:. Furthermore, cloud radars are being used for entomology studies for more than 40 years, since Ka and W-band radars detect almost exclusively
3794:
is in the market. Nowadays, there are eleven systems monitoring the cloud properties continuously in different sites, most of them in Europe.
5254:
5222:
3319:
if the Doppler spectrum is dominated by small hydrometeors (slower than the mean) or bigger particles (faster than the mean Doppler velocity)
226:
of different hardware parts, each of which contains different elements. The figure on page 9 in Clothiaux et al. 1996 is showing such units.
2490:
the Figure on the right, where a sketch of the Doppler spectrum is shown. The frequency is already converted into velocity in the x axis.
6291:
5410:
Shupe, M. D.; Kollias, P.; Matrosov, S. Y.; Schneider, T. L. (2004). "Deriving mixed-phase cloud properties from doppler radar spectra".
156:
Regarding the different cloud radars operating wavelengths, it must be taken into account that longer wavelengths are less attenuated by
2521:
4974:"Objective determination of cloud heights and radar reflectivities using a combination of active remote sensors at the arm cart sites"
4815:
4521:
4472:
3752:
3312:
the Doppler velocity axis but it did not influence the broadening of the spectra. So the changes in skewness give information about:
105:
The main purpose of these radars is the investigation of cloud properties and evolution. They typically operate at 35 GHz in the
4668:
4619:
4031:
5075:
4913:
4864:
4374:
4227:
4129:
3586:
114:
25:
5769:"Using Continuous Ground-Based Radar and Lidar Measurements for Evaluating the Representation of Clouds in Four Operational Models"
5325:"A 35 GHz polarimetric doppler radar for long term observations of cloud parameters-description of system and data processing"
4423:
4325:
4080:
3982:
3933:
2279:
Such spectra is the distribution of radial velocities of the targets in the volume analyzed weighted with the power of the signal.
4766:
4717:
4570:
4276:
3593:
A number of different polarimetric configurations were evaluated in theoretical and experimental studies and are explained below.
982:{\displaystyle E_{r}(t)=\sum _{m=0}^{N_{s}}A_{r,m}e^{i({2k_{c}r_{m}-(\omega _{c}-\omega _{d,m})t+\phi _{s,m}+\phi _{t}})}U(t-r/c)}
3308:
as well. To be able to relate the change in skewness of the Doppler spectrum, the Doppler width should be cross-checked as well.
4178:
220:
5371:"Cloud radar doppler spectra in drizzling stratiform clouds: 2. observations and microphysical modeling of drizzle evolution"
3104:
parameter of the Doppler spectrum describes the asymmetry of the spectrum with respect to a symmetric Gaussian distribution.
3075:
Mean Doppler velocity can be seen as the mean frequency of a power spectrum (Doppler velocity) of the backscattered power.
5207:
Ground-based remote sensing of cloud properties using millimeter-wave radar. In: Radiation and Water in the Climate System
5014:
6004:
Pazmany, A.; McIntosh, R.; Kelly, R.; Vali, G. (1994). "An airborne 95 GHz dual-polarized radar for cloud studies".
727:, and 0 elsewhere. Therefore, such electromagnetic (EM) field is oscillating sinusoidally in time within the pulse width
3799:
3278:{\displaystyle Sk={\frac {{\frac {1}{Z}}\int _{v_{min}}^{v_{max}}(v_{d}-V)^{3}|S(v_{d})|^{2}~\mathrm {d} v_{d}}{W^{3}}}}
470:{\displaystyle E_{i}(r,\theta ,\phi ,t)={\frac {A_{i}(\theta ,\phi )e^{i\phi t}}{r}}e^{i(k_{c}r-\omega _{c}t)}U(t-2r/c)}
5641:"Observations of ice crystal habits with a scanning polarimetric wband radar at slant linear depolarization ratio mode"
3509:{\displaystyle K={\frac {{\frac {1}{Z}}\int _{v_{min}}^{v_{max}}(v_{d}-V)^{4}|S(v_{d})|^{2}~\mathrm {d} v_{d}}{W^{4}}}}
3802:
models, assimilates their data, as well as data acquired by other instruments in the various sites with this purpose.
3338:
of the Doppler spectrum also relates to its curve. It describes the tails of the spectrum curve relative to Gaussian.
1987:
Therefore, after such sampling of the received signal, a time serie of I/Q signals is associated to every range gate.
1225:
impossible to be resolved individually, we sample the signal coming from the atmosphere at given discrete time delays
5810:"Prospects for the measurement of ice cloud particle shape and orientation with elliptically polarized radar signals"
2173:
3670:
is shown, where using the information given by the different parameters, an identification of targets can be done:
3637:
can be used not only for classification of ice particle habit but also for characterization of their orientations.
1554:), the so-called I and Q voltages are derived taking the real and imaginary part of the complex voltage given in (
6039:
Galloway, J.; Pazmany, A.; Mead, J.; McIntosh, R. E.; Leon, D.; French, J.; Kelly, R.; Vali, G. (February 1997).
5503:"Cloud radar doppler spectra in drizzling stratiform clouds: 1. forward modeling and remote sensing applications"
3685:
1310:
that are collected by the radar between any two radar pulses. The expression of the sampled received voltage is:
199:(High Altitude and Long Range Research Aircraft) and Wyoming KingAir Research Aircraft. An example of spaceborne
6106:
6081:
6065:
6040:
5989:
5964:
5873:
5848:
5441:
4998:
4973:
2287:
6223:
4952:
2992:
1188:
are respectively the phase shift upon scattering and the transmitter phase, which can be assumed constants (
6314:
6082:"Interpretation of polarimetric radar covariance matrix for meteorological scatterers: Theoretical analysis"
5323:
Görsdorf, U.; Lehmann, V.; Bauer-Pfundstein, M.; Peters, G.; Vavriv, D.; Vinogradov, V.; Volkov, V. (2015).
150:
149:(RHI) scans at different angles and at a relatively high speed, and vertical wind profiles, when performing
1780:
1568:
5738:
5427:
146:
134:
5134:
1993:
256:
177:
5583:
Mech, M.; Orlandi, E.; Crewell, S.; Ament, F.; Hirsch, L.; Hagen, M.; Peters, G.; Stevens, B. (2014).
2969:{\displaystyle W={\sqrt {{\frac {1}{Z}}\int \limits _{v_{min}}^{v_{max}}(v_{d}-V)^{2}S(v_{d})dv_{d}}}}
1477:{\displaystyle V(\tau _{s})=\sum _{m=0}^{N_{g}}A_{r,m}e^{i(2k_{c}r_{m}-(\omega _{d,m})t+\phi _{s,m})}}
1221:
can depend on time for meteorological targets like vibrating water drops and tumbling ice particles).
6175:
6134:
6093:
6052:
6013:
5976:
5901:
5860:
5821:
5780:
5730:
5693:
5652:
5596:
5555:
5514:
5468:
5419:
5382:
5336:
5105:
5051:
4985:
3569:
is used to interpret Doppler spectra and to understand the microphysical changes that it represents.
126:
5743:
5432:
1095:
5015:"Characterization of radar boundary layer data collected during the 2001 multi-frequency radar iop"
3798:, a network of stations for the continuous evaluation of cloud and aerosol profiles in operational
3717:
118:
2100:
2043:
components in the following way. In every range gate the FFT algorithm is applied to the serie of
610:
5639:
Matrosov, S. Y.; Mace, G. G.; Merchand, R.; Shupe, M. D.; Hallar, A. G.; McCubbin, I. B. (2012).
5294:
5067:
1191:
1131:
1068:
496:
4972:
Clothiaux, E.; Ackerman, T.; Mace, G.; Moran, K.; Marchand, R.; Miller, M.; Martner, B. (2000).
3755:'s atmospheric radiation measurement program. The radars operate continuously at these sites in
141:, being able to measure the particles irregularity by means of the linear depolarization ratio (
2423:
1503:
1258:
1228:
1164:
664:
5849:"Cirrus Cloud Studies with Elliptically Polarized Ka-band Radar Signals: A Suggested Approach"
5250:
5218:
5143:
3538:
can give information about the spectrum tail weight, helping to describe the spectrum better.
47:
range from 1 mm to 1.11 cm, about ten times shorter than those used in conventional
21:
5888:
Reinking, Roger F.; Matrosov, Sergey Y.; Kropfli, Robert A.; Bartram, Bruce W. (March 2002).
3598:
1008:
6183:
6142:
6101:
6060:
6021:
5984:
5909:
5868:
5829:
5788:
5748:
5701:
5660:
5614:
5604:
5563:
5522:
5476:
5437:
5390:
5344:
5286:
5210:
5113:
5059:
4993:
3316:
if the minority of the hydrometeors is falling faster or slower as the mean Doppler velocity
730:
2073:
2046:
1530:
1286:
1041:
710:
637:
583:
5619:
5585:"HAMP: the microwave package on the High Altitude and LOng range research aircraft (HALO)"
3681:
Ice clouds are characterized by relatively high LDR signals due to their irregular shapes.
2633:
2294:
142:
6292:
National Oceanic and Atmospheric Administration discussion of millimeter-wave cloud radar
6286:
6123:"Using cloud radar polarization measurements to evaluate stratus cloud and insect echoes"
2390:
2357:
2097:
is the number of FFT points used in the FFT. The result of the FFT is a complex spectrum
6179:
6138:
6097:
6056:
6017:
5980:
5905:
5864:
5825:
5784:
5734:
5697:
5656:
5600:
5559:
5518:
5472:
5423:
5386:
5340:
5109:
5055:
4989:
3767:, and are designed to function for at least ten years with minimal staff oversight. The
130:
5274:
5270:
5242:
5238:
2330:
2148:
563:
543:
523:
236:
188:
targets on warm cloudless days, and more recently are also used for the study of giant
173:
3684:
Insects produce high LDR values and are usually within the Convective Boundary Layer (
6308:
3783:
3782:
Since the late 2000s, a meteorological 35.5 GHz Ka-band commercial cloud radar (
3764:
3722:
3663:
43:
with operating frequencies between 24 and 110 GHz (Table 1). Accordingly, their
6041:"Detection of Ice Hydrometeor Alignment Using an Airborne W-band Polarimetric Radar"
5298:
2812:{\displaystyle V={\frac {1}{Z}}\int \limits _{v_{min}}^{v_{max}}v_{d}S(v_{d})dv_{d}}
2465:
6287:
Atmospheric Radiation Measurement Program discussion of millimeter-wave cloud radar
5071:
3695:
3675:
3046:
3023:
3016:, depicted by the arrows, and the number of modes of the droplet size distribution.
2999:
2669:
2496:
138:
3709:
can be detected by slightly higher peak width values, in accordance to the higher
253:
far from the antenna is, adopting complex notation in spherical coordinate system
5457:"Arctic cloud microphysics retrievals from surface-based remote sensors at sheba"
5214:
200:
5965:"Theoretical Study of Radar Polarization Parameters Obtained from Cirrus Clouds"
3658:
3654:
3577:
3325:
changes over height or time can be related to a change in the cloud microphysics
129:), to several meters for magnetron based cloud radars (e.g. from 15 to 60 m for
5914:
5889:
5665:
5640:
5349:
5324:
3735:
122:
6188:
6163:
5568:
5543:
3747:
Pacific Northwest National Laboratory (PNNL) and Prosensing Inc. designed the
3710:
3650:
2666:
is called the 0-moment of the Doppler spectrum, which equals the reflectivity
44:
5094:"A study on the use of radar and lidar for characterizing ultragiant aerosol"
5063:
4928:
4915:
4879:
4866:
4830:
4817:
4781:
4768:
4732:
4719:
4683:
4670:
4634:
4621:
4585:
4572:
4536:
4523:
4487:
4474:
4438:
4425:
4389:
4376:
4340:
4327:
4291:
4278:
4242:
4229:
4193:
4180:
4144:
4131:
4095:
4082:
4046:
4033:
3997:
3984:
3948:
3935:
2996:
Sketch of the Doppler width. It shows the relation between the Doppler width
5609:
5584:
5290:
5136:
EarthCARE The Earth Cloud, Aerosol and Radiation Profiling Satellite Mission
208:
5793:
5768:
5706:
5681:
133:
systems). The maximum detection range is between 14 and 20 km and the
5752:
5013:
Khandwalla, A.; Majurec, N.; Sekelsky, S.; Williams, C.; Gage, K. (2002).
6147:
6122:
5527:
5502:
5395:
5370:
3772:
3756:
3699:
3566:
3562:
3555:
3551:
3546:
3542:
3535:
3335:
3305:
3101:
6164:"Zenith/nadir pointing mm-wave radars: Linear or circular polarization?"
3776:
2165:
is the Doppler frequency. The power spectra is then easily estimated by
707:
is a modulating function which is 1 when its argument is between 0 and
5935:
5118:
5093:
3791:
3667:
1038:
is the amplitude of the electric field scattered by the mth scatterer,
204:
189:
157:
106:
6025:
5833:
5481:
5456:
3706:
3020:
The first moment of the Doppler spectrum is the mean Doppler velocity
3760:
3582:
185:
110:
52:
48:
5809:
3771:
s operate at a frequency of 35 and 94 GHz, being designated as
3768:
3748:
3040:. It corresponds to the mean radial velocity in the sampled volume.
6227:
5934:
Bharadwaj, Nitin; Nelson, Dan; Lindenmaier, Iosif; Johnson, Karen.
3678:
but not in the LDR, since the liquid droplets are almost spherical.
758:
carrier frequency, amplified and then downconverted and digitized.
121:
is adjustable and typically ranges from 1 to 10 seconds, while the
6252:
5037:"Volcanic cloud retrieval by ground-based microwave weather radar"
3716:
2991:
2286:
165:
40:
36:
20:
5168:
2607:{\displaystyle Z=\int \limits _{v_{min}}^{v_{max}}S(v_{d})dv_{d}}
137:
velocity resolution is of few cm/s. Most of the cloud radars are
3815:
3541:
If a Doppler spectrum is exactly normally distributed, then its
161:
3322:
the shape of the size distribution of the measured hydrometeors
5173:
5147:
181:
5092:
Madonna, F.; Amodeo, A.; D'Amico, G.; Pappalardo, G. (2013).
3585:
and European OPERA, and, currently, are being implemented in
3795:
233:
The expression of the electric field radiated at a distance
6107:
10.1175/1520-0426(2001)018<0315:ioprcm>2.0.co;2
6066:
10.1175/1520-0426(1997)014<0003:DOIHAU>2.0.CO;2
5990:
10.1175/1520-0469(1991)048<1062:TSORPP>2.0.CO;2
5874:
10.1175/1520-0426(1993)010<0684:CCSWEP>2.0.CO;2
5442:
10.1175/1520-0426(2004)021<0660:dmcpfd>2.0.co;2
4999:
10.1175/1520-0450(2000)039<0645:ODOCHA>2.0.CO;2
3751:
to monitor clouds overhead at various testing sites of the
5501:
Kollias, P.; Rémillard, J.; Luke, E.; Szyrmer, W. (2011).
5369:
Kollias, P.; Szyrmer, W.; Rémillard, J.; Luke, E. (2011).
5035:
Marzano, F.; Barbieri, S.; Vulpiani, G.; Rose, W. (2006).
3811:
3740:
3698:
values, high falling velocities and a broadening of the
2420:
denote the minimum and the maximum velocities, at which
6247:
6245:
5205:
Clothiaux, E .E.; Ackerman, T. P.; Babb, D. M. (1996).
6269:
6206:
3688:), where up- and downdrafts are observed continuously.
3049:
3026:
3002:
2672:
2636:
2499:
2468:
2426:
2393:
2360:
2333:
2297:
3349:
3115:
2843:
2709:
2524:
2327:
is represented as a function of the Doppler velocity
2176:
2151:
2103:
2076:
2049:
1996:
1783:
1571:
1533:
1506:
1321:
1289:
1261:
1231:
1194:
1167:
1134:
1098:
1071:
1044:
1011:
772:
733:
713:
667:
640:
613:
586:
566:
546:
526:
499:
302:
259:
239:
5542:Huuskonen, A.; Saltikoff, E.; Holleman, I. (2013).
5133:Eisinger, Michael; et al. (26 November 2018).
3787:
6168:IEEE Transactions on Geoscience and Remote Sensing
6006:IEEE Transactions on Geoscience and Remote Sensing
5277:; Sirmans, D. S. (1979). "Doppler weather radar".
5044:IEEE Transactions on Geoscience and Remote Sensing
3508:
3277:
3055:
3032:
3008:
2968:
2811:
2678:
2658:
2606:
2505:
2477:
2454:
2412:
2379:
2346:
2319:
2255:
2157:
2137:
2089:
2062:
2035:
1963:
1751:
1546:
1519:
1476:
1302:
1274:
1244:
1213:
1180:
1153:
1120:
1084:
1057:
1030:
981:
749:
719:
699:
653:
626:
599:
572:
552:
532:
512:
469:
283:
245:
5544:"The operational weather radar network in europe"
5455:Shupe, M. D.; Uttal, T.; Matrosov, S. Y. (2005).
2291:Sketch of a Doppler spectrum. The spectral power
28:Millimeter Cloud Radar (MMCR) operating at 35 GHz
5958:
5956:
5847:Matrosov, S. Y.; Kropfli, R. A. (October 1993).
5318:
5316:
5314:
5312:
5310:
5308:
5022:Proceedings of the 12th ARM Science Team Meeting
4847:Tropical Western Pacific-Manus, Papua New Guinea
3792:Institute for Radio Astronomy, Kharkov (Ukraine)
3534:Since the measure is dominated by the extremes,
180:. They are also intensively used to investigate
6298:Bulletin of the American Meteorological Society
5686:Bulletin of the American Meteorological Society
5634:
5632:
5630:
5496:
5494:
5492:
5364:
5362:
5360:
5200:
5198:
5196:
5194:
5192:
3674:Liquid water clouds produce a signature in the
2256:{\displaystyle S(k)=S_{compl}*S_{compl}^{*}(k)}
64:Table 1: Millimetre cloud radar operating bands
5936:"Instrument : Ka ARM Zenith Radar (KAZR)"
5773:Journal of Applied Meteorology and Climatology
3043:The second moment is called the Doppler width
6218:
6216:
6162:Galletti, M.; Huang, D.; Kollias, P. (2014).
6086:Journal of Atmospheric and Oceanic Technology
6045:Journal of Atmospheric and Oceanic Technology
5894:Journal of Atmospheric and Oceanic Technology
5853:Journal of Atmospheric and Oceanic Technology
5412:Journal of Atmospheric and Oceanic Technology
5329:Journal of Atmospheric and Oceanic Technology
2698:) of the Doppler spectrum can be calculated:
8:
5507:Journal of Geophysical Research: Atmospheres
5375:Journal of Geophysical Research: Atmospheres
5098:Journal of Geophysical Research: Atmospheres
6201:
6199:
2493:From the Doppler spectrum the reflectivity
6264:
6262:
5929:
5927:
5925:
4798:Tropical Western Pacific-Darwin, Australia
4504:North Slope of Alaska, Barrow, Alaska, USA
4455:North Slope of Alaska, Barrow, Alaska, USA
215:Measuring with a radar: from IQ to spectra
6187:
6146:
6105:
6064:
5988:
5913:
5872:
5792:
5742:
5705:
5664:
5618:
5608:
5567:
5526:
5480:
5431:
5394:
5348:
5117:
4997:
3810:Table 2: Cloud radar systems involved in
3573:Polarimetric measurements in cloud radars
3498:
3487:
3478:
3469:
3464:
3454:
3439:
3433:
3417:
3396:
3391:
3378:
3373:
3359:
3356:
3348:
3267:
3256:
3247:
3238:
3233:
3223:
3208:
3202:
3186:
3165:
3160:
3147:
3142:
3128:
3125:
3114:
3048:
3025:
3001:
2958:
2942:
2926:
2910:
2889:
2884:
2871:
2866:
2852:
2850:
2842:
2803:
2787:
2771:
2753:
2748:
2735:
2730:
2716:
2708:
2671:
2647:
2635:
2598:
2582:
2558:
2553:
2540:
2535:
2523:
2498:
2467:
2437:
2425:
2398:
2392:
2365:
2359:
2338:
2332:
2308:
2296:
2238:
2221:
2196:
2175:
2150:
2108:
2102:
2081:
2075:
2054:
2048:
2027:
2011:
2001:
1995:
1941:
1916:
1900:
1890:
1876:
1860:
1848:
1843:
1832:
1807:
1794:
1782:
1729:
1704:
1688:
1678:
1664:
1648:
1636:
1631:
1620:
1595:
1582:
1570:
1538:
1532:
1511:
1505:
1457:
1432:
1416:
1406:
1392:
1376:
1364:
1359:
1348:
1332:
1320:
1294:
1288:
1266:
1260:
1236:
1230:
1199:
1193:
1172:
1166:
1139:
1133:
1103:
1097:
1076:
1070:
1049:
1043:
1016:
1010:
968:
941:
922:
897:
884:
868:
858:
850:
843:
827:
815:
810:
799:
777:
771:
738:
732:
712:
686:
666:
645:
639:
618:
612:
591:
585:
565:
545:
525:
504:
498:
456:
424:
408:
397:
375:
350:
343:
307:
301:
258:
238:
5247:Doppler Radar & Weather Observations
3832:
3734:
2513:can be calculated using the expression:
67:
4964:
6207:"METEK – Your Partner for Meteorology"
1065:is the position of the mth scatterer,
520:is the carrier frequency of the wave,
153:(PPI) at few degrees from the zenith.
16:Weather radar tuned to cloud detection
6121:Martner, B. E.; Moran, K. P. (2001).
1964:{\displaystyle Q(\tau _{s},T_{s})=Im}
1752:{\displaystyle I(\tau _{s},T_{s})=Re}
35:, also denominated cloud radars, are
7:
6300:paper on millimeter-wave cloud radar
4749:Southern Great Plains, Oklahoma, USA
4700:Southern Great Plains, Oklahoma, USA
3739:Cloud radar instruments involved in
3340:
3106:
2834:
2700:
2515:
2167:
1774:
1562:
1312:
763:
293:
5969:Journal of the Atmospheric Sciences
5723:Journal of the Atmospheric Sciences
2630:The integral of the spectral power
5589:Atmospheric Measurement Techniques
3753:United States Department of Energy
3479:
3248:
580:is the distance from the antenna,
14:
5169:"EarthCARE ESA Validation Portal"
3623:). The combined analysis of LDR,
2036:{\displaystyle N_{f}I_{n}+iQ_{n}}
284:{\displaystyle (r;\theta ;\phi )}
6127:Journal of Geophysical Research
5682:"A Focus on Mixed-Phase Clouds"
3749:Scanning ARM Cloud Radar (SACR)
3649:As the cloud radars sample the
3616:) and correlation coefficient (
221:Pulse-Doppler signal processing
5620:11858/00-001M-0000-0015-79F2-9
5461:Journal of Applied Meteorology
5209:. Springer. pp. 323–366.
3694:Rain is characterized by high
3545:equals 3.0. If in general the
3465:
3460:
3447:
3440:
3430:
3410:
3234:
3229:
3216:
3209:
3199:
3179:
2948:
2935:
2923:
2903:
2793:
2780:
2653:
2640:
2588:
2575:
2443:
2430:
2314:
2301:
2250:
2244:
2186:
2180:
2132:
2126:
1958:
1953:
1928:
1909:
1880:
1825:
1813:
1787:
1746:
1741:
1716:
1697:
1668:
1613:
1601:
1575:
1527:) and for every pulse cycle (
1469:
1444:
1425:
1396:
1338:
1325:
1121:{\displaystyle \omega _{d,m}t}
976:
956:
948:
909:
877:
847:
789:
783:
694:
671:
464:
441:
433:
401:
368:
356:
337:
313:
278:
260:
1:
5940:ARM Climate Research Facility
5808:Matrosov, S. Y. (July 1991).
3657:signal produced by different
2686:. Further, the first moment (
1092:is the carrier frequency and
5963:Matrosov, Sergey Y. (1991).
5215:10.1007/978-3-662-03289-3_13
3721:Measurements performed by a
3666:cloud radar measurements in
2138:{\displaystyle S_{compl}(k)}
627:{\displaystyle \lambda _{c}}
39:systems designed to monitor
33:Millimeter-wave cloud radars
2694:
2688:
2485:is the velocity resolution.
1556:
1214:{\displaystyle \phi _{s,m}}
1154:{\displaystyle \phi _{s,m}}
1085:{\displaystyle \omega _{c}}
513:{\displaystyle \omega _{c}}
201:Cloud Profiling Radar (CPR)
6331:
5915:10.1175/1520-0426-19.3.296
5666:10.1175/JTECH-D-11-00131.1
5350:10.1175/JTECH-D-14-00066.1
4831:12.4246000°S 130.8915972°E
4537:71.3232583°N 156.6157500°W
4488:71.3232583°N 156.6157500°W
3790:in collaboration with the
2455:{\textstyle S(v_{d})>0}
1560:): Their expressions are:
218:
109:and at 94 GHz in the
6189:10.1109/tgrs.2013.2243155
5645:J. Atmos. Oceanic Technol
5569:10.1175/BAMS-D-12-00216.1
4929:47.4211111°N 10.9852778°E
4880:2.0610111°S 147.4253972°E
4684:67.4159972°N 26.5889722°E
4635:40.6044250°N 15.7200083°E
4439:48.1509306°N 11.5799528°E
4341:51.3522750°N 12.4341389°E
4047:41.4155056°N 81.8617917°W
3763:and the tropical western
2692:) and the second moment (
1520:{\displaystyle \tau _{s}}
1275:{\displaystyle \tau _{s}}
1245:{\displaystyle \tau _{s}}
1181:{\displaystyle \phi _{t}}
700:{\displaystyle U(t-2r/c)}
634:is the wavelength, while
5064:10.1109/tgrs.2006.879116
4953:Extremely high frequency
4836:-12.4246000; 130.8915972
4542:71.3232583; -156.6157500
4493:71.3232583; -156.6157500
4390:47.5865250°N 9.8895889°E
4292:49.0119194°N 8.4169806°E
4243:50.9052833°N 6.4048278°E
4145:53.5656667°N 9.9750750°E
4096:53.2785528°N 9.0605167°W
3998:51.1445917°N 1.4387778°W
3949:51.1445917°N 1.4387778°W
113:, where the atmospheric
6270:"ARM Research Facility"
6080:Ryzhkov, A. V. (2001).
5610:10.5194/amt-7-4539-2014
5548:Bull. Amer. Meteor. Soc
5291:10.1109/PROC.1979.11511
5279:Proceedings of the IEEE
5104:(17): 10, 056–10, 071.
4885:-2.0610111; 147.4253972
4782:36.605000°N 97.485000°W
4733:36.605000°N 97.485000°W
4052:41.4155056; -81.8617917
3822:and NOAA projects": -->
1500:For every range gate (
1031:{\displaystyle A_{r,m}}
560:is the speed of light,
151:plan position indicator
5794:10.1175/2010JAMC2333.1
5707:10.1175/2008BAMS2378.1
4934:47.4211111; 10.9852778
4689:67.4159972; 26.5889722
4640:40.6044250; 15.7200083
4586:48.713000°N 2.209000°E
4444:48.1509306; 11.5799528
4346:51.3522750; 12.4341389
4101:53.2785528; -9.0605167
4003:51.1445917; -1.4387778
3954:51.1445917; -1.4387778
3744:
3727:
3705:Liquid layers within
3510:
3279:
3057:
3034:
3017:
3010:
2970:
2902:
2813:
2766:
2680:
2660:
2608:
2571:
2507:
2486:
2479:
2456:
2414:
2381:
2348:
2321:
2257:
2159:
2139:
2091:
2064:
2037:
1965:
1855:
1753:
1643:
1548:
1521:
1478:
1371:
1304:
1276:
1246:
1215:
1182:
1155:
1122:
1086:
1059:
1032:
983:
822:
751:
750:{\displaystyle T_{pw}}
721:
701:
655:
628:
607:is the wavenumber and
601:
574:
554:
534:
514:
471:
285:
247:
147:Range Height Indicator
29:
5753:10.1175/2009JAS3029.1
4787:36.605000; -97.485000
4738:36.605000; -97.485000
4395:47.5865250; 9.8895889
4297:49.0119194; 8.4169806
4248:50.9052833; 6.4048278
4194:63.74861°N 68.51972°W
4150:53.5656667; 9.9750750
3896:ARM Mobile Facility 2
3876:ARM Mobile Facility 1
3856:ARM Mobile Facility 1
3738:
3720:
3511:
3280:
3058:
3035:
3011:
2995:
2971:
2862:
2814:
2726:
2681:
2661:
2659:{\textstyle S(v_{d})}
2609:
2531:
2508:
2480:
2457:
2415:
2382:
2349:
2322:
2320:{\textstyle S(v_{d})}
2290:
2258:
2160:
2140:
2092:
2090:{\displaystyle N_{f}}
2065:
2063:{\displaystyle N_{f}}
2038:
1966:
1828:
1754:
1616:
1549:
1547:{\displaystyle T_{s}}
1522:
1479:
1344:
1305:
1303:{\displaystyle N_{g}}
1277:
1247:
1216:
1183:
1156:
1123:
1087:
1060:
1058:{\displaystyle r_{m}}
1033:
984:
795:
752:
722:
720:{\displaystyle \tau }
702:
656:
654:{\displaystyle A_{i}}
629:
602:
600:{\displaystyle k_{c}}
575:
555:
535:
515:
472:
286:
248:
24:
6148:10.1029/2000jd900623
5528:10.1029/2010JD015237
5396:10.1029/2010JD015238
4014:Cleveland, Ohio, USA
3347:
3113:
3047:
3024:
3000:
2841:
2707:
2670:
2634:
2522:
2497:
2466:
2424:
2413:{\textstyle v_{max}}
2391:
2380:{\textstyle v_{min}}
2358:
2331:
2295:
2174:
2149:
2101:
2074:
2047:
1994:
1781:
1569:
1531:
1504:
1319:
1287:
1259:
1229:
1192:
1165:
1132:
1096:
1069:
1042:
1009:
770:
731:
711:
665:
638:
611:
584:
564:
544:
524:
497:
300:
257:
237:
203:is operating in the
176:passing through the
6253:"Cesar Observatory"
6180:2014ITGRS..52..628G
6139:2001JGR...106.4891M
6098:2001JAtOT..18..315R
6057:1997JAtOT..14....3G
6018:1994ITGRS..32..731P
5981:1991JAtS...48.1062M
5906:2002JAtOT..19..296R
5865:1993JAtOT..10..684M
5826:1991RaSc...26..847M
5785:2010JApMC..49.1971B
5735:2009JAtS...66.2874D
5698:2008BAMS...89.1549S
5657:2012JAtOT..29..989M
5601:2014AMT.....7.4539M
5560:2014BAMS...95..897H
5519:2011JGRD..11613201K
5473:2005JApMe..44.1544S
5424:2004JAtOT..21..660S
5387:2011JGRD..11613203K
5341:2015JAtOT..32..675G
5110:2013JGRD..11810056M
5056:2006ITGRS..44.3235M
4990:2000JApMe..39..645C
4925: /
4876: /
4827: /
4778: /
4729: /
4680: /
4631: /
4591:48.713000; 2.209000
4582: /
4533: /
4484: /
4435: /
4386: /
4357:Lindenberg, Germany
4337: /
4288: /
4239: /
4199:63.74861; -68.51972
4190: /
4141: /
4092: /
4043: /
3994: /
3945: /
3731:Cloud radar systems
3653:, they measure the
3645:Measurement example
3409:
3178:
2283:The Doppler spectra
2243:
119:temporal resolution
5249:. Academic Press.
5119:10.1002/jgrd.50789
4896:Zugspitze, Germany
4651:Sodankyla, Finland
3745:
3728:
3707:mixed-phase clouds
3561:The Doppler radar
3506:
3369:
3275:
3138:
3053:
3030:
3018:
3006:
2966:
2809:
2676:
2656:
2604:
2503:
2487:
2475:
2452:
2410:
2377:
2347:{\textstyle v_{d}}
2344:
2317:
2253:
2217:
2155:
2135:
2087:
2070:IQ signals, where
2060:
2033:
1961:
1749:
1544:
1517:
1474:
1300:
1272:
1242:
1211:
1178:
1151:
1118:
1082:
1055:
1028:
979:
747:
717:
697:
651:
624:
597:
570:
550:
530:
510:
467:
281:
243:
77:Wavelength range
30:
6133:(D5): 4891–4897.
6026:10.1109/36.298002
5834:10.1029/91RS00965
5692:(10): 1549–1562.
5595:(12): 4539–4553.
5482:10.1175/JAM2297.1
5467:(10): 1544–1562.
5285:(11): 1522–1553.
5256:978-0-12-221420-2
5224:978-3-662-03289-3
5144:Salzburg, Austria
5050:(11): 3235–3246.
4978:J. Appl. Meteorol
4944:
4943:
4553:Palaiseau, France
4259:Kalsruhe, Germany
3743:and NOAA projects
3530:
3529:
3504:
3477:
3367:
3299:
3298:
3273:
3246:
3136:
2990:
2989:
2964:
2860:
2833:
2832:
2724:
2628:
2627:
2354:. The parameters
2277:
2276:
2158:{\displaystyle k}
1985:
1984:
1773:
1772:
1498:
1497:
1003:
1002:
573:{\displaystyle r}
553:{\displaystyle c}
533:{\displaystyle t}
491:
490:
391:
246:{\displaystyle r}
103:
102:
6322:
6274:
6273:
6266:
6257:
6256:
6249:
6240:
6239:
6237:
6235:
6230:on 14 April 2015
6226:. Archived from
6220:
6211:
6210:
6203:
6194:
6193:
6191:
6159:
6153:
6152:
6150:
6118:
6112:
6111:
6109:
6077:
6071:
6070:
6068:
6036:
6030:
6029:
6001:
5995:
5994:
5992:
5975:(8): 1062–1070.
5960:
5951:
5950:
5948:
5946:
5931:
5920:
5919:
5917:
5885:
5879:
5878:
5876:
5844:
5838:
5837:
5805:
5799:
5798:
5796:
5779:(9): 1971–1991.
5763:
5757:
5756:
5746:
5729:(9): 2874–2887.
5718:
5712:
5711:
5709:
5677:
5671:
5670:
5668:
5636:
5625:
5624:
5622:
5612:
5580:
5574:
5573:
5571:
5539:
5533:
5532:
5530:
5498:
5487:
5486:
5484:
5452:
5446:
5445:
5435:
5407:
5401:
5400:
5398:
5366:
5355:
5354:
5352:
5320:
5303:
5302:
5267:
5261:
5260:
5235:
5229:
5228:
5202:
5187:
5186:
5184:
5182:
5165:
5159:
5158:
5156:
5154:
5141:
5130:
5124:
5123:
5121:
5089:
5083:
5082:
5081:on 14 July 2012.
5080:
5074:. Archived from
5041:
5032:
5026:
5025:
5019:
5010:
5004:
5003:
5001:
4969:
4940:
4939:
4937:
4936:
4935:
4930:
4926:
4923:
4922:
4921:
4918:
4891:
4890:
4888:
4887:
4886:
4881:
4877:
4874:
4873:
4872:
4869:
4842:
4841:
4839:
4838:
4837:
4832:
4828:
4825:
4824:
4823:
4820:
4793:
4792:
4790:
4789:
4788:
4783:
4779:
4776:
4775:
4774:
4771:
4744:
4743:
4741:
4740:
4739:
4734:
4730:
4727:
4726:
4725:
4722:
4695:
4694:
4692:
4691:
4690:
4685:
4681:
4678:
4677:
4676:
4673:
4646:
4645:
4643:
4642:
4641:
4636:
4632:
4629:
4628:
4627:
4624:
4597:
4596:
4594:
4593:
4592:
4587:
4583:
4580:
4579:
4578:
4575:
4548:
4547:
4545:
4544:
4543:
4538:
4534:
4531:
4530:
4529:
4526:
4499:
4498:
4496:
4495:
4494:
4489:
4485:
4482:
4481:
4480:
4477:
4450:
4449:
4447:
4446:
4445:
4440:
4436:
4433:
4432:
4431:
4428:
4401:
4400:
4398:
4397:
4396:
4391:
4387:
4384:
4383:
4382:
4379:
4352:
4351:
4349:
4348:
4347:
4342:
4338:
4335:
4334:
4333:
4330:
4308:Leipzig, Germany
4303:
4302:
4300:
4299:
4298:
4293:
4289:
4286:
4285:
4284:
4281:
4254:
4253:
4251:
4250:
4249:
4244:
4240:
4237:
4236:
4235:
4232:
4210:Juelich, Germany
4205:
4204:
4202:
4201:
4200:
4195:
4191:
4188:
4187:
4186:
4183:
4156:
4155:
4153:
4152:
4151:
4146:
4142:
4139:
4138:
4137:
4134:
4112:Hamburg, Germany
4107:
4106:
4104:
4103:
4102:
4097:
4093:
4090:
4089:
4088:
4085:
4058:
4057:
4055:
4054:
4053:
4048:
4044:
4041:
4040:
4039:
4036:
4009:
4008:
4006:
4005:
4004:
3999:
3995:
3992:
3991:
3990:
3987:
3960:
3959:
3957:
3956:
3955:
3950:
3946:
3943:
3942:
3941:
3938:
3833:
3830:
3829:
3825:
3524:
3515:
3513:
3512:
3507:
3505:
3503:
3502:
3493:
3492:
3491:
3482:
3475:
3474:
3473:
3468:
3459:
3458:
3443:
3438:
3437:
3422:
3421:
3408:
3407:
3406:
3390:
3389:
3388:
3368:
3360:
3357:
3341:
3293:
3284:
3282:
3281:
3276:
3274:
3272:
3271:
3262:
3261:
3260:
3251:
3244:
3243:
3242:
3237:
3228:
3227:
3212:
3207:
3206:
3191:
3190:
3177:
3176:
3175:
3159:
3158:
3157:
3137:
3129:
3126:
3107:
3071:Doppler velocity
3062:
3060:
3059:
3054:
3039:
3037:
3036:
3031:
3015:
3013:
3012:
3007:
2984:
2975:
2973:
2972:
2967:
2965:
2963:
2962:
2947:
2946:
2931:
2930:
2915:
2914:
2901:
2900:
2899:
2883:
2882:
2881:
2861:
2853:
2851:
2835:
2827:
2818:
2816:
2815:
2810:
2808:
2807:
2792:
2791:
2776:
2775:
2765:
2764:
2763:
2747:
2746:
2745:
2725:
2717:
2701:
2685:
2683:
2682:
2677:
2665:
2663:
2662:
2657:
2652:
2651:
2622:
2613:
2611:
2610:
2605:
2603:
2602:
2587:
2586:
2570:
2569:
2568:
2552:
2551:
2550:
2516:
2512:
2510:
2509:
2504:
2484:
2482:
2481:
2476:
2461:
2459:
2458:
2453:
2442:
2441:
2419:
2417:
2416:
2411:
2409:
2408:
2386:
2384:
2383:
2378:
2376:
2375:
2353:
2351:
2350:
2345:
2343:
2342:
2326:
2324:
2323:
2318:
2313:
2312:
2271:
2262:
2260:
2259:
2254:
2242:
2237:
2213:
2212:
2168:
2164:
2162:
2161:
2156:
2144:
2142:
2141:
2136:
2125:
2124:
2096:
2094:
2093:
2088:
2086:
2085:
2069:
2067:
2066:
2061:
2059:
2058:
2042:
2040:
2039:
2034:
2032:
2031:
2016:
2015:
2006:
2005:
1979:
1970:
1968:
1967:
1962:
1957:
1956:
1952:
1951:
1927:
1926:
1905:
1904:
1895:
1894:
1871:
1870:
1854:
1853:
1852:
1842:
1812:
1811:
1799:
1798:
1775:
1767:
1758:
1756:
1755:
1750:
1745:
1744:
1740:
1739:
1715:
1714:
1693:
1692:
1683:
1682:
1659:
1658:
1642:
1641:
1640:
1630:
1600:
1599:
1587:
1586:
1563:
1553:
1551:
1550:
1545:
1543:
1542:
1526:
1524:
1523:
1518:
1516:
1515:
1492:
1483:
1481:
1480:
1475:
1473:
1472:
1468:
1467:
1443:
1442:
1421:
1420:
1411:
1410:
1387:
1386:
1370:
1369:
1368:
1358:
1337:
1336:
1313:
1309:
1307:
1306:
1301:
1299:
1298:
1281:
1279:
1278:
1273:
1271:
1270:
1251:
1249:
1248:
1243:
1241:
1240:
1220:
1218:
1217:
1212:
1210:
1209:
1187:
1185:
1184:
1179:
1177:
1176:
1160:
1158:
1157:
1152:
1150:
1149:
1127:
1125:
1124:
1119:
1114:
1113:
1091:
1089:
1088:
1083:
1081:
1080:
1064:
1062:
1061:
1056:
1054:
1053:
1037:
1035:
1034:
1029:
1027:
1026:
997:
988:
986:
985:
980:
972:
952:
951:
947:
946:
945:
933:
932:
908:
907:
889:
888:
873:
872:
863:
862:
838:
837:
821:
820:
819:
809:
782:
781:
764:
756:
754:
753:
748:
746:
745:
726:
724:
723:
718:
706:
704:
703:
698:
690:
660:
658:
657:
652:
650:
649:
633:
631:
630:
625:
623:
622:
606:
604:
603:
598:
596:
595:
579:
577:
576:
571:
559:
557:
556:
551:
539:
537:
536:
531:
519:
517:
516:
511:
509:
508:
485:
476:
474:
473:
468:
460:
437:
436:
429:
428:
413:
412:
392:
387:
386:
385:
355:
354:
344:
312:
311:
294:
290:
288:
287:
282:
252:
250:
249:
244:
123:range resolution
74:Frequency range
68:
6330:
6329:
6325:
6324:
6323:
6321:
6320:
6319:
6305:
6304:
6283:
6278:
6277:
6268:
6267:
6260:
6251:
6250:
6243:
6233:
6231:
6224:"Home Redirect"
6222:
6221:
6214:
6205:
6204:
6197:
6161:
6160:
6156:
6120:
6119:
6115:
6079:
6078:
6074:
6038:
6037:
6033:
6003:
6002:
5998:
5962:
5961:
5954:
5944:
5942:
5933:
5932:
5923:
5887:
5886:
5882:
5846:
5845:
5841:
5807:
5806:
5802:
5765:
5764:
5760:
5744:10.1.1.454.2210
5720:
5719:
5715:
5679:
5678:
5674:
5651:(8): 989–1008.
5638:
5637:
5628:
5582:
5581:
5577:
5541:
5540:
5536:
5513:(D13): D13201.
5500:
5499:
5490:
5454:
5453:
5449:
5433:10.1.1.595.6468
5409:
5408:
5404:
5368:
5367:
5358:
5322:
5321:
5306:
5269:
5268:
5264:
5257:
5237:
5236:
5232:
5225:
5204:
5203:
5190:
5180:
5178:
5177:. 26 March 2021
5167:
5166:
5162:
5152:
5150:
5139:
5132:
5131:
5127:
5091:
5090:
5086:
5078:
5039:
5034:
5033:
5029:
5017:
5012:
5011:
5007:
4971:
4970:
4966:
4961:
4949:
4933:
4931:
4927:
4924:
4919:
4916:
4914:
4912:
4911:
4884:
4882:
4878:
4875:
4870:
4867:
4865:
4863:
4862:
4835:
4833:
4829:
4826:
4821:
4818:
4816:
4814:
4813:
4786:
4784:
4780:
4777:
4772:
4769:
4767:
4765:
4764:
4737:
4735:
4731:
4728:
4723:
4720:
4718:
4716:
4715:
4688:
4686:
4682:
4679:
4674:
4671:
4669:
4667:
4666:
4639:
4637:
4633:
4630:
4625:
4622:
4620:
4618:
4617:
4590:
4588:
4584:
4581:
4576:
4573:
4571:
4569:
4568:
4541:
4539:
4535:
4532:
4527:
4524:
4522:
4520:
4519:
4492:
4490:
4486:
4483:
4478:
4475:
4473:
4471:
4470:
4443:
4441:
4437:
4434:
4429:
4426:
4424:
4422:
4421:
4406:Munich, Germany
4394:
4392:
4388:
4385:
4380:
4377:
4375:
4373:
4372:
4345:
4343:
4339:
4336:
4331:
4328:
4326:
4324:
4323:
4296:
4294:
4290:
4287:
4282:
4279:
4277:
4275:
4274:
4247:
4245:
4241:
4238:
4233:
4230:
4228:
4226:
4225:
4198:
4196:
4192:
4189:
4184:
4181:
4179:
4177:
4176:
4161:Iqaluit, Canada
4149:
4147:
4143:
4140:
4135:
4132:
4130:
4128:
4127:
4100:
4098:
4094:
4091:
4086:
4083:
4081:
4079:
4078:
4063:Galway, Ireland
4051:
4049:
4045:
4042:
4037:
4034:
4032:
4030:
4029:
4002:
4000:
3996:
3993:
3988:
3985:
3983:
3981:
3980:
3953:
3951:
3947:
3944:
3939:
3936:
3934:
3932:
3931:
3831:
3827:
3823:
3821:
3820:
3733:
3647:
3635:
3628:
3621:
3614:
3575:
3522:
3494:
3483:
3463:
3450:
3429:
3413:
3392:
3374:
3358:
3345:
3344:
3332:
3291:
3263:
3252:
3232:
3219:
3198:
3182:
3161:
3143:
3127:
3111:
3110:
3098:
3085:
3073:
3045:
3044:
3022:
3021:
2998:
2997:
2982:
2954:
2938:
2922:
2906:
2885:
2867:
2839:
2838:
2825:
2799:
2783:
2767:
2749:
2731:
2705:
2704:
2668:
2667:
2643:
2632:
2631:
2620:
2594:
2578:
2554:
2536:
2520:
2519:
2495:
2494:
2478:{\textstyle dv}
2464:
2463:
2433:
2422:
2421:
2394:
2389:
2388:
2361:
2356:
2355:
2334:
2329:
2328:
2304:
2293:
2292:
2285:
2269:
2192:
2172:
2171:
2147:
2146:
2104:
2099:
2098:
2077:
2072:
2071:
2050:
2045:
2044:
2023:
2007:
1997:
1992:
1991:
1977:
1937:
1912:
1896:
1886:
1872:
1856:
1844:
1803:
1790:
1779:
1778:
1765:
1725:
1700:
1684:
1674:
1660:
1644:
1632:
1591:
1578:
1567:
1566:
1534:
1529:
1528:
1507:
1502:
1501:
1490:
1453:
1428:
1412:
1402:
1388:
1372:
1360:
1328:
1317:
1316:
1290:
1285:
1284:
1262:
1257:
1256:
1232:
1227:
1226:
1195:
1190:
1189:
1168:
1163:
1162:
1135:
1130:
1129:
1099:
1094:
1093:
1072:
1067:
1066:
1045:
1040:
1039:
1012:
1007:
1006:
995:
937:
918:
893:
880:
864:
854:
839:
823:
811:
773:
768:
767:
734:
729:
728:
709:
708:
663:
662:
641:
636:
635:
614:
609:
608:
587:
582:
581:
562:
561:
542:
541:
522:
521:
500:
495:
494:
483:
420:
404:
393:
371:
346:
345:
303:
298:
297:
255:
254:
235:
234:
223:
217:
66:
61:
51:radars such as
17:
12:
11:
5:
6328:
6326:
6318:
6317:
6315:Weather radars
6307:
6306:
6303:
6302:
6294:
6289:
6282:
6281:External links
6279:
6276:
6275:
6258:
6241:
6212:
6195:
6174:(1): 628–639.
6154:
6113:
6092:(3): 315–328.
6072:
6031:
6012:(4): 731–739.
5996:
5952:
5921:
5900:(3): 296–321.
5880:
5859:(5): 684–692.
5839:
5820:(4): 847–856.
5800:
5758:
5713:
5672:
5626:
5575:
5554:(6): 897–907.
5534:
5488:
5447:
5418:(4): 660–670.
5402:
5381:(13): D13203.
5356:
5335:(4): 675–690.
5304:
5262:
5255:
5230:
5223:
5188:
5160:
5142:. ATMOS-2018.
5125:
5084:
5027:
5005:
4984:(5): 645–665.
4963:
4962:
4960:
4957:
4956:
4955:
4948:
4945:
4942:
4941:
4909:
4906:
4903:
4900:
4897:
4893:
4892:
4871:147°25′31.43″E
4860:
4857:
4854:
4851:
4848:
4844:
4843:
4822:130°53′29.75″E
4811:
4808:
4805:
4802:
4799:
4795:
4794:
4762:
4759:
4756:
4753:
4750:
4746:
4745:
4713:
4710:
4707:
4704:
4701:
4697:
4696:
4664:
4661:
4658:
4655:
4652:
4648:
4647:
4615:
4612:
4609:
4606:
4603:
4602:Potenza, Italy
4599:
4598:
4566:
4563:
4560:
4557:
4554:
4550:
4549:
4528:156°36′56.70″W
4517:
4514:
4511:
4508:
4505:
4501:
4500:
4479:156°36′56.70″W
4468:
4465:
4462:
4459:
4456:
4452:
4451:
4419:
4416:
4413:
4410:
4407:
4403:
4402:
4370:
4367:
4364:
4361:
4358:
4354:
4353:
4321:
4318:
4315:
4312:
4309:
4305:
4304:
4272:
4269:
4266:
4263:
4260:
4256:
4255:
4223:
4220:
4217:
4214:
4211:
4207:
4206:
4174:
4171:
4168:
4165:
4162:
4158:
4157:
4125:
4122:
4119:
4116:
4113:
4109:
4108:
4076:
4073:
4070:
4067:
4064:
4060:
4059:
4027:
4024:
4021:
4018:
4015:
4011:
4010:
3978:
3975:
3972:
3969:
3966:
3965:Chilbolton, UK
3962:
3961:
3929:
3926:
3923:
3920:
3917:
3916:Chilbolton, UK
3913:
3912:
3909:
3906:
3903:
3900:
3897:
3893:
3892:
3889:
3886:
3883:
3880:
3877:
3873:
3872:
3869:
3866:
3863:
3860:
3857:
3853:
3852:
3849:
3846:
3843:
3840:
3837:
3819:
3808:
3806:Netherlands).
3786:) designed by
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3056:{\textstyle W}
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3033:{\textstyle V}
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3009:{\textstyle W}
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219:Main article:
216:
213:
174:radiant energy
101:
100:
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72:
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5814:Radio Science
5811:
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5280:
5276:
5272:
5271:Doviak, R. J.
5266:
5263:
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5252:
5248:
5244:
5240:
5239:Doviak, R. J.
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4917:47°25′16.00″N
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4907:
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4819:12°25′28.56″S
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4675:26°35′20.30″E
4672:67°24′57.59″N
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4623:40°36′15.93″N
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4133:53°33′56.40″N
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540:is the time,
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127:UK Met Office
124:
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6228:the original
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6167:
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5939:
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5275:Zrnic, D. S.
5265:
5246:
5243:Zrnic, D. S.
5233:
5206:
5179:. Retrieved
5172:
5163:
5151:. Retrieved
5135:
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5101:
5097:
5087:
5076:the original
5047:
5043:
5030:
5021:
5008:
4981:
4977:
4967:
4920:10°59′7.00″E
4770:36°36′18.0″N
4721:36°36′18.0″N
4574:48°42′46.8″N
4381:9°53′22.52″E
4332:12°26′2.90″E
4329:51°21′8.19″N
4280:49°0′42.91″N
4234:6°24′17.38″E
4136:9°58′30.27″E
3989:1°26′19.60″W
3986:51°8′40.53″N
3940:1°26′19.60″W
3937:51°8′40.53″N
3804:
3781:
3746:
3696:reflectivity
3676:reflectivity
3648:
3639:
3631:
3624:
3617:
3610:
3607:
3603:
3595:
3592:
3587:ground based
3578:Polarimetric
3576:
3560:
3558:wiki entry.
3540:
3533:
3531:
3520:
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3310:
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2492:
2488:
2278:
2267:
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1986:
1975:
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1488:
1254:
1223:
1004:
993:
760:
492:
481:
232:
228:
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194:
170:
155:
139:polarimetric
115:transmission
104:
32:
31:
18:
6051:(1): 3–12.
4932: /
4883: /
4868:2°3′39.64″S
4834: /
4785: /
4773:97°29′6.0″W
4736: /
4724:97°29′6.0″W
4687: /
4638: /
4589: /
4577:2°12′32.4″E
4540: /
4491: /
4442: /
4427:48°9′3.35″N
4393: /
4344: /
4295: /
4283:8°25′1.13″E
4246: /
4197: /
4148: /
4099: /
4087:9°3′37.86″W
4050: /
4001: /
3952: /
3845:Wavelength
3659:hydrometeor
3655:backscatter
3599:bright band
211:) mission.
45:wavelengths
4959:References
4185:68°31′11″W
4182:63°44′55″N
3928:Copernicus
3842:Frequency
3788:METEK GmbH
3711:turbulence
3651:atmosphere
178:atmosphere
5739:CiteSeerX
5428:CiteSeerX
3851:Location
3424:−
3371:∫
3193:−
3140:∫
2917:−
2864:∫
2728:∫
2533:∫
2240:∗
2215:∗
1939:ϕ
1914:ω
1907:−
1830:∑
1792:τ
1727:ϕ
1702:ω
1695:−
1618:∑
1580:τ
1509:τ
1455:ϕ
1430:ω
1423:−
1346:∑
1330:τ
1264:τ
1234:τ
1197:ϕ
1170:ϕ
1137:ϕ
1101:ω
1074:ω
963:−
939:ϕ
920:ϕ
895:ω
891:−
882:ω
875:−
797:∑
715:τ
678:−
616:λ
502:ω
448:−
422:ω
418:−
380:ϕ
366:ϕ
360:θ
329:ϕ
323:θ
276:ϕ
270:θ
209:EarthCARE
88:7.5-11.1
71:Band name
6309:Category
5299:35915211
5245:(1993).
5181:10 April
5153:10 April
4947:See also
3836:Location
3818:projects
3796:Cloudnet
3757:Oklahoma
3567:kurtosis
3563:kurtosis
3556:kurtosis
3552:kurtosis
3547:kurtosis
3543:kurtosis
3536:kurtosis
3336:kurtosis
3330:Kurtosis
3306:skewness
3102:skewness
3096:Skewness
205:CloudSAT
190:aerosols
99:2.7-4.0
6176:Bibcode
6135:Bibcode
6094:Bibcode
6053:Bibcode
6014:Bibcode
5977:Bibcode
5902:Bibcode
5861:Bibcode
5822:Bibcode
5781:Bibcode
5731:Bibcode
5694:Bibcode
5653:Bibcode
5597:Bibcode
5556:Bibcode
5515:Bibcode
5469:Bibcode
5420:Bibcode
5383:Bibcode
5337:Bibcode
5106:Bibcode
5072:6011915
5052:Bibcode
4986:Bibcode
4859:Ka-SACR
4810:Ka-SACR
4712:Ka-SACR
4467:Ka-SACR
3977:Galileo
3911:Mobile
3908:Ka-SACR
3891:Mobile
3871:Mobile
3868:Ka-SACR
3784:MIRA-36
3723:MIRA-36
3713:within.
3700:spectra
3668:Potenza
3664:MIRA-36
158:drizzle
135:Doppler
107:Ka band
59:Purpose
6234:9 July
5945:29 May
5741:
5430:
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5253:
5221:
5070:
4908:MIRA36
4761:W-SACR
4663:MIRA36
4614:MIRA36
4516:W-SACR
4418:MIRA36
4369:MIRA36
4320:MIRA36
4271:MIRA36
4222:MIRA36
4173:MIRA36
4124:MIRA36
4075:MIRA36
4026:MIRA36
3888:W-SACR
3812:ACTRIS
3773:KaSACR
3761:Alaska
3741:ACTRIS
3726:width.
3630:, and
3583:NEXRAD
3476:
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2145:where
1005:where
493:where
186:insect
168:beam.
111:W band
96:75-100
53:NEXRAD
49:S band
41:clouds
5295:S2CID
5140:(PDF)
5079:(PDF)
5068:S2CID
5040:(PDF)
5018:(PDF)
4565:BASTA
3777:WSACR
1255:Such
166:lidar
85:24-40
37:radar
6236:2015
5947:2015
5251:ISBN
5219:ISBN
5183:2021
5155:2021
4902:35.5
4657:35.5
4608:35.5
4562:3.16
4412:35.5
4363:35.5
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4265:35.5
4216:35.5
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3848:Type
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3824:edit
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3814:and
3775:and
3769:SACR
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3100:The
2447:>
2387:and
1161:and
197:HALO
162:rain
160:and
131:MIRA
6184:doi
6143:doi
6131:106
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6061:doi
6022:doi
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5869:doi
5830:doi
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5749:doi
5702:doi
5661:doi
5615:hdl
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5523:doi
5511:116
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5438:doi
5391:doi
5379:116
5345:doi
5287:doi
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5174:ESA
5148:ESA
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5102:118
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4856:8.6
4807:8.6
4758:3.2
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4023:8.6
3974:3.2
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3865:8.6
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3686:CBL
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