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Bin-centres

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280:. When generating a single frequency test signal for FFT analysis, it is possible to create the frequency such that it aligns perfectly within an FFT bin-centre frequency. These frequencies are multiples of the frequency resolution of the FFT, given by the sample rate divided by the number of sample points. This results in no spectral leakage and all the power from the signal is present in only one FFT bin. Viewed in the time domain, a sine wave will fit in the centre of an FFT bin if it has a complete number of cycles within the length of the sample buffer. Such signals can be analysed without an FFT window function provided the system is 120: 25: 66: 284:(i.e., the signal generation and analysis are using the same clock source.) It follows that a stimulus can be constructed of many sine waves (as many as there are FFT bins) and the signal can still be analysed without an FFT window function. This is called 338:
A bin-centres signal can give a frequency response with thousands of frequency points from a single capture of an FFT buffer and requires no averaging. Creation of stimuli that have specific spectral characteristics is also possible.
323:, the signal would have to be swept through the frequencies of interest in discrete steps, allowing time for it to settle while making a measurement of its amplitude at each step. Using a 296:
The usage of bin-centre analysis techniques is mathematically inherent in FFT spectral analysis. Where it has changed has been with the introduction of digital
288:. The amplitude and phase of these sine components can be freely adjusted in order to construct a signal with a particular frequency response characteristic. 390: 229: 211: 52: 145: 192: 164: 141: 38: 171: 285: 130: 178: 363: 300:
systems capable of generating such signals and analysing them in a synchronous system. Within the world of
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has been used to reduce the effects of discontinuities at the ends of the FFT buffer, but these result in
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test signal is one which has been constructed such that it has frequency components at
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in order to get a clear idea of a trend. In addition, creation of
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bin-centre frequencies. This allows analysis without an FFT
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Rapid Audio Frequency Response Measurement using Bin-centres
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noise signals in the time domain presents many challenges.
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signal which is inherently random requires considerable
90: 80: 272:-based spectral measurements, traditionally a 8: 148:. Unsourced material may be challenged and 53:Learn how and when to remove these messages 230:Learn how and when to remove this message 212:Learn how and when to remove this message 16:Test signal in digital signal processing 7: 146:adding citations to reliable sources 14: 34:This article has multiple issues. 118: 64: 23: 42:or discuss these issues on the 304:testing, traditionally single 1: 407: 391:Digital signal processing 312:signals have been used. 364:Audio equipment testing 79:, as no other articles 359:Fast Fourier transform 315:In order to measure a 260:measurement system. 142:improve this article 317:frequency response 286:multitone analysis 98:for suggestions. 88:to this page from 354:Spectrum analyser 349:Coherent sampling 298:spectral analysis 240: 239: 232: 222: 221: 214: 196: 112: 111: 57: 398: 278:spectral leakage 268:When performing 235: 228: 217: 210: 206: 203: 197: 195: 154: 122: 114: 107: 104: 93: 91:related articles 68: 60: 49: 27: 26: 19: 406: 405: 401: 400: 399: 397: 396: 395: 381: 380: 372: 345: 302:audio frequency 294: 274:window function 266: 254:window function 236: 225: 224: 223: 218: 207: 201: 198: 155: 153: 139: 123: 108: 102: 99: 89: 86:introduce links 69: 28: 24: 17: 12: 11: 5: 404: 402: 394: 393: 383: 382: 379: 378: 371: 370:External links 368: 367: 366: 361: 356: 351: 344: 341: 293: 290: 265: 262: 238: 237: 220: 219: 202:September 2023 126: 124: 117: 110: 109: 96:Find link tool 72: 70: 63: 58: 32: 31: 29: 22: 15: 13: 10: 9: 6: 4: 3: 2: 403: 392: 389: 388: 386: 377: 374: 373: 369: 365: 362: 360: 357: 355: 352: 350: 347: 346: 342: 340: 336: 334: 330: 326: 322: 318: 313: 311: 307: 303: 299: 291: 289: 287: 283: 279: 275: 271: 263: 261: 259: 255: 251: 247: 242: 234: 231: 216: 213: 205: 194: 191: 187: 184: 180: 177: 173: 170: 166: 163: –  162: 161:"Bin-centres" 158: 157:Find sources: 151: 147: 143: 137: 136: 132: 127:This article 125: 121: 116: 115: 106: 97: 92: 87: 83: 82: 78: 73:This article 71: 67: 62: 61: 56: 54: 47: 46: 41: 40: 35: 30: 21: 20: 337: 314: 295: 267: 245: 243: 241: 226: 208: 199: 189: 182: 175: 168: 156: 140:Please help 128: 100: 74: 50: 43: 37: 36:Please help 33: 282:synchronous 258:synchronous 246:bin-centres 306:sine waves 264:Background 172:newspapers 94:; try the 81:link to it 39:improve it 329:averaging 321:sine wave 129:does not 103:June 2024 84:. Please 45:talk page 385:Category 343:See also 333:weighted 319:with a 186:scholar 150:removed 135:sources 188:  181:  174:  167:  159:  77:orphan 75:is an 325:noise 310:noise 292:Usage 256:on a 193:JSTOR 179:books 165:news 133:any 131:cite 308:or 270:FFT 250:FFT 144:by 387:: 244:A 48:. 233:) 227:( 215:) 209:( 204:) 200:( 190:· 183:· 176:· 169:· 152:. 138:. 105:) 101:( 55:) 51:(

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FFT
window function
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spectral leakage
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