Knowledge (XXG)

Line-of-sight propagation

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The previous vacuum distance analysis does not consider the effect of atmosphere on the propagation path of RF signals. In fact, RF signals do not propagate in straight lines: Because of the refractive effects of atmospheric layers, the propagation paths are somewhat curved. Thus, the maximum service
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that the eye may sense. Therefore, since the ability to visually see a transmitting antenna (disregarding the limitations of the eye's resolution) roughly corresponds to the ability to receive a radio signal from it, the propagation characteristic at these frequencies is called "line-of-sight". The
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is composed of a conductor that completely surrounds an area on all sides, top, and bottom. Electromagnetic radiation is blocked where the wavelength is longer than any gaps. For example, mobile telephone signals are blocked in windowless metal enclosures that approximate a Faraday cage, such as
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on radio propagation. It is a consequence of a circular segment of earth profile that blocks off long-distance communications. Since the vacuum line of sight passes at varying heights over the Earth, the propagating radio wave encounters slightly different propagation conditions over the path.
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coverage, the station may use as few as 3 (rural areas with few customers) or as many as 32 separate antennas, each covering a portion of the circular coverage. This allows the base station to use a directional antenna that is pointing at the user, which improves the
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transmitters can be foiled by tree branches, or even heavy rain or snow. The presence of objects not in the direct line-of-sight can cause diffraction effects that disrupt radio transmissions. For the best propagation, a volume known as the first
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In practice, the propagation characteristics of these radio waves vary substantially depending on the exact frequency and the strength of the transmitted signal (a function of both the transmitter and the antenna characteristics). Broadcast
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It is important to take into account the curvature of the Earth for calculation of line-of-sight paths from maps, when a direct visual fix cannot be made. Designs for microwave formerly used
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can also either cancel out or enhance the direct signal. This effect can be reduced by raising either or both antennas further from the ground: The reduction in loss achieved is known as
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The simple formulas give a best-case approximation of the maximum propagation distance, but are not sufficient to estimate the quality of service at any location.
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For example, in normal weather conditions, the service range of a station at an altitude of 1500 m with respect to receivers at sea level can be found as,
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and higher) and in lower levels of the atmosphere, neither of these effects are significant. Thus, any obstruction between the transmitting antenna (
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elevator cabins, and parts of trains, cars, and ships. The same problem can affect signals in buildings with extensive steel reinforcement.
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The radio horizon of the transmitting and receiving antennas can be added together to increase the effective communication range.
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This analysis is for high altitude to sea level reception. In microwave radio link chains, both stations are at high altitudes.
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which means waves can only travel in a direct visual path from the source to the receiver without obstacles. Electromagnetic
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radio, at comparatively low frequencies of around 100 MHz, are less affected by the presence of buildings and forests.
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can be less than 1.) That is equivalent to a hypothetical decrease in Earth radius and an increase of Earth bulge.
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reflection, diffraction, and attenuated passage through internal walls, floors and ceilings within the building
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In the case, when there are two stations involve, e.g. a transmit station on ground with a station height
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are tangential to the surface of the Earth. If the Earth were a perfect sphere without an atmosphere, the
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Assuming a perfect sphere with no terrain irregularity, the distance to the horizon from a high altitude
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The combination of all these effects makes the mobile phone propagation environment highly complex, with
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can disturb line of sight propagation even if they do not block the geometric line between antennas.
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or "skip" propagation, thus giving radio transmissions in this range a potentially global reach.
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range of the station is not equal to the line of sight vacuum distance. Usually, a factor
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sufficient operation of mobile phone in tunnels when supported by split cable antennas
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Two stations not in line-of-sight may be able to communicate through an intermediate
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bands between approximately 1 and 30 MHz, can be refracted back to Earth by the
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diffraction through windows, and attenuated passage through walls, into the building
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farthest possible point of propagation is referred to as the "radio horizon".
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be the altitude of a telecommunication station. The line of sight distance
17: 1499:"P.834 : Effects of tropospheric refraction on radiowave propagation" 1089:
The usual effect of the declining pressure of the atmosphere with height (
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stations to transmit beyond the horizon. Additionally, frequencies in the
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Approximating 2-Ray Model by using Binomial series by Matthew Bazajian
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the radio link used by the phones is a digital link with extensive
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Article on the importance of Line Of Sight for UHF reception
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Mean radius of the Earth is ≈ 6.37×10 metres = 6370 km. See
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http://web.telia.com/~u85920178/data/pathlos.htm#bulges
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and a receive station in the air with a station height
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local repeaters inside complex vehicles or buildings
2103: 2030: 1959: 1887: 1839: 1781: 1758: 1735: 1368: 1287: 1237: 1171: 1068: 971: 921: 872:{\displaystyle d\approx {\sqrt {2\cdot R\cdot h}}} 871: 823: 791: 753: 574: 462: 1189: < 1 means a shorter service range. 643:(i.e., line of sight) can readily be calculated. 631:is the height of the transmitter (exaggerated), 1545:High Altitude VHF and UHF Broadcasting Stations 1423:, stochastic model of line-of-sight propagation 261:rooftop or hilltop positioning of base stations 177:surface of the surrounding ground or salt water 41:Line of sight (LoS) propagation from an antenna 1288:{\displaystyle d\approx 1.41\cdot {\sqrt {h}}} 1238:{\displaystyle d\approx 4.12\cdot {\sqrt {h}}} 1128:is used in the equation above, modified to be 972:{\displaystyle d\approx 1.23\cdot {\sqrt {h}}} 922:{\displaystyle d\approx 3.57\cdot {\sqrt {h}}} 2155: 1642: 768:is much smaller than the radius of the Earth 79:In contrast to line-of-sight propagation, at 8: 118:However, at frequencies above 30 MHz ( 27:Characteristic of electromagnetic radiation 2162: 2148: 2140: 1718:        1649: 1635: 1627: 233:diffraction into the "street canyon" below 1359: 1346: 1332: 1278: 1264: 1228: 1214: 1144: 1136: 1054: 1044: 1038: 1028: 1020: 962: 948: 912: 898: 850: 842: 804: 783: 777: 745: 714: 701: 676: 670: 548: 547: 527: 524: 505: 504: 481: 478: 442: 441: 421: 418: 399: 398: 375: 372: 981: 619: 190:for more on impairments in propagation. 147:Impairments to line-of-sight propagation 60:includes light emissions traveling in a 1454: 1025: 360:is affected by atmospheric conditions, 343:of points at which direct rays from an 130:) will block the signal, just like the 230:propagation over the rooftop landscape 993:is the height of the ground station, 7: 1524:Essentials of radio wave propagation 1391:Dipole field strength in free space 1317:in transmission. (In extreme cases 936:is given in feet, and the distance 564: 561: 558: 555: 552: 549: 543: 540: 537: 534: 531: 528: 509: 506: 500: 497: 494: 491: 488: 485: 482: 452: 449: 446: 443: 437: 434: 431: 428: 425: 422: 403: 400: 394: 391: 388: 385: 382: 379: 376: 25: 1192:Under normal weather conditions, 997:is the height of the air station 886:is given in metres, and distance 211:Although the frequencies used by 1617:Attenuation Levels Through Roofs 1570: This article incorporates 1565: 1434: 658:of this station is given by the 172:should be free of obstructions. 1583:General Services Administration 1101:, increased by a factor around 824:{\displaystyle 2\cdot R\cdot h} 799:can be neglected compared with 650:be the radius of the Earth and 287:between base stations (roaming) 698: 685: 292:error correction and detection 32:Line-of-sight (disambiguation) 1: 1522:Christopher Haslett. (2008). 1406:Non-line-of-sight propagation 1119:Refracted distance to horizon 1001:is the line of sight distance 635:is the line of sight distance 188:Non-line-of-sight propagation 175:Reflected radiation from the 126:) and the receiving antenna ( 2220:Earth–Moon–Earth 989:is the radius of the Earth, 764:The altitude of the station 627:is the radius of the Earth, 83:(below approximately 3  2248:Radio frequency propagation 1750:Ultra-high-energy gamma ray 1463:"Line-of-sight propagation" 1091:vertical pressure variation 351:horizon would be a circle. 239:reflection along the street 64:. The rays or waves may be 2269: 1745:Very-high-energy gamma ray 1082: 613: 610:Vacuum distance to horizon 328: 29: 2178: 1664: 1467:IEEE Technology Navigator 50:electromagnetic radiation 46:Line-of-sight propagation 1658:Electromagnetic spectrum 1196:is usually chosen to be 601:refers to the effect of 1309:But in stormy weather, 294:in the digital protocol 48:is a characteristic of 1706: 1578:Federal Standard 1037C 1572:public domain material 1411:Over-the-horizon radar 1370: 1313:may decrease to cause 1289: 1239: 1173: 1099:effective Earth radius 1085:Atmospheric refraction 1079:Atmospheric refraction 1070: 1002: 973: 923: 873: 825: 793: 755: 636: 576: 464: 362:ionospheric absorption 358:Radio wave propagation 321: 253:effects and extensive 160: 42: 1705: 1591: (in support of 1386:Anomalous propagation 1371: 1290: 1240: 1174: 1071: 985: 974: 924: 874: 826: 794: 792:{\displaystyle h^{2}} 756: 623: 577: 465: 315: 278:signal-to-noise ratio 154: 76:or behind obstacles. 40: 2215:Tropospheric scatter 1331: 1263: 1213: 1135: 1019: 947: 897: 841: 803: 776: 669: 477: 371: 30:For other uses, see 2226:Interstellar Medium 1791:Extreme ultraviolet 660:Pythagorean theorem 155:Objects within the 1796:Vacuum ultraviolet 1707: 1366: 1364: 1285: 1256:in kilometres; or 1235: 1169: 1066: 1003: 969: 940:in statute miles, 919: 869: 821: 789: 751: 637: 595:telecommunications 572: 460: 322: 161: 43: 2235: 2234: 2188:Non-line-of-sight 2172:radio propagation 2137: 2136: 1841:Visible (optical) 1543:Busi, R. (1967). 1396:Knife-edge effect 1363: 1351: 1283: 1233: 1167: 1059: 1049: 1036: 967: 917: 867: 603:earth's curvature 570: 458: 207:Mobile telephones 16:(Redirected from 2260: 2210:Airplane scatter 2164: 2157: 2150: 2141: 1728: 1726: 1719: 1712: 1651: 1644: 1637: 1628: 1596: 1590: 1585:. 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Retrieved 1505:. 2021-03-05 1502: 1493: 1487:Earth radius 1481: 1470:. Retrieved 1466: 1457: 1442:Radio portal 1323: 1318: 1310: 1308: 1303: 1302:in feet and 1299: 1297: 1253: 1249: 1247: 1193: 1191: 1186: 1182: 1181: 1125: 1122: 1112: 1098: 1088: 1010: 1006: 1004: 998: 994: 990: 986: 937: 933: 931: 887: 883: 881: 833: 769: 765: 763: 655: 651: 647: 645: 638: 632: 628: 624: 598: 592: 584: 356: 353: 336: 334: 306:Faraday cage 303: 248: 225: 210: 192: 185: 180: 174: 170:Fresnel zone 163:Low-powered 162: 157:Fresnel zone 137: 117: 97:ground waves 78: 58:transmission 52:or acoustic 45: 44: 2253:IEEE 802.11 2193:Ionospheric 2124:Medium wave 1801:Lyman-alpha 1783:Ultraviolet 1722:wavelengths 1715:frequencies 1679:Ultraviolet 1593:MIL-STD-188 1427:Slant range 772:Therefore, 641:transmitter 599:Earth bulge 589:Earth bulge 181:height gain 124:transmitter 93:radio waves 89:diffraction 18:Earth bulge 2242:Categories 2203:Sporadic E 2105:Wavelength 1961:Microwaves 1773:Hard X-ray 1768:Soft X-ray 1737:Gamma rays 1669:Gamma rays 1532:052187565X 1509:2021-11-17 1472:2023-05-10 1449:References 1306:in miles. 329:See also: 109:ionosphere 66:diffracted 2170:Modes of 2119:Shortwave 2114:Microwave 1694:Microwave 1362: km. 1344:⋅ 1338:≈ 1276:⋅ 1270:≈ 1226:⋅ 1220:≈ 1162:⋅ 1156:⋅ 1150:⋅ 1142:≈ 1026:≈ 960:⋅ 954:≈ 910:⋅ 904:≈ 862:⋅ 856:⋅ 848:≈ 816:⋅ 810:⋅ 733:⋅ 727:⋅ 708:− 522:⋅ 516:≈ 416:⋅ 410:≈ 251:multipath 237:multipath 186:See also 165:microwave 111:, called 105:shortwave 87:) due to 70:refracted 2129:Longwave 1889:Infrared 1689:Infrared 1380:See also 320:station. 128:receiver 101:AM radio 1720:longer 1713:higher 1684:Visible 1201:⁄ 1111:. This 1106:⁄ 1095:refract 345:antenna 339:is the 285:handoff 223:⁄ 198:⁄ 113:skywave 74:horizon 2022:L band 2017:S band 2012:C band 2007:X band 1993:K band 1979:Q band 1974:V band 1969:W band 1874:Orange 1869:Yellow 1849:Violet 1760:X-rays 1674:X-rays 1530:  1315:fading 834:Thus: 283:rapid 2228:(ISM) 2222:(EME) 2107:types 2032:Radio 1928:Bands 1901:Bands 1864:Green 1699:Radio 1574:from 349:radio 341:locus 264:many 132:light 2002:band 1988:band 1946:LWIR 1924:MWIR 1919:SWIR 1859:Cyan 1854:Blue 1528:ISBN 1349:1500 1341:4.12 1298:for 1273:1.41 1248:for 1223:4.12 957:1.23 907:3.57 646:Let 519:3.57 413:1.23 335:The 2095:ELF 2090:SLF 2085:ULF 2080:VLF 2060:VHF 2055:UHF 2050:SHF 2045:EHF 2040:THF 1951:FIR 1897:NIR 1879:Red 1831:UVA 1826:UVB 1821:UVC 1816:NUV 1811:MUV 1806:FUV 1503:ITU 1357:160 831:. 593:In 120:VHF 85:MHz 2244:: 2075:LF 2070:MF 2065:HF 1938:, 1934:, 1930:: 1911:, 1907:, 1903:: 1595:). 1581:. 1501:. 1465:. 770:R. 662:; 597:, 304:A 183:. 141:FM 91:, 68:, 2163:e 2156:t 2149:v 2000:u 1998:K 1986:a 1984:K 1942:) 1940:N 1936:M 1932:L 1926:( 1915:) 1913:H 1909:K 1905:J 1899:( 1725:→ 1711:← 1650:e 1643:t 1636:v 1534:. 1512:. 1475:. 1354:= 1335:d 1319:k 1311:k 1304:d 1300:h 1281:h 1267:d 1254:d 1250:h 1231:h 1217:d 1203:3 1199:4 1194:k 1187:k 1183:k 1165:h 1159:R 1153:k 1147:2 1139:d 1126:k 1113:k 1108:3 1104:4 1063:) 1057:H 1052:+ 1047:h 1041:( 1034:R 1031:2 1023:d 1011:H 1007:h 999:d 995:H 991:h 987:R 965:h 951:d 938:d 934:h 915:h 901:d 888:d 884:h 865:h 859:R 853:2 845:d 819:h 813:R 807:2 785:2 781:h 766:h 747:2 743:h 739:+ 736:h 730:R 724:2 721:= 716:2 712:R 703:2 699:) 695:h 692:+ 689:R 686:( 683:= 678:2 674:d 656:d 652:h 648:R 633:d 629:h 625:R 565:s 562:e 559:r 556:t 553:e 550:m 544:t 541:h 538:g 535:i 532:e 529:h 510:m 507:k 501:n 498:o 495:z 492:i 489:r 486:o 483:h 453:t 450:e 447:e 444:f 438:t 435:h 432:g 429:i 426:e 423:h 404:i 401:m 395:n 392:o 389:z 386:i 383:r 380:o 377:h 226:r 221:1 200:3 196:4 34:. 20:)

Index

Earth bulge
Line-of-sight (disambiguation)

electromagnetic radiation
wave propagation
transmission
straight line
diffracted
refracted
horizon
low frequency
MHz
diffraction
radio waves
ground waves
AM radio
shortwave
ionosphere
skywave
VHF
transmitter
receiver
light
FM

Fresnel zone
microwave
Fresnel zone
surface of the surrounding ground or salt water
Non-line-of-sight propagation

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