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Talk:Coherence (statistics)

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the dimensionality of this expression seems wrong. should the denominator have squared variables? also, using the magnitude in the denominator will destroy any cross-phase information between the two variables.
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For a moment I thought the above was right. But look closely. The quantity given here is dimensionless. I think that was intended.
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Random Data 2nd Edition, Bendat & Piersol, John Wiley & Sons, 1986 page 137
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thus the magnitude, nor the square of Gxx and Gyy are used.
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where Gxy is a cross spectrum and Gxx, Gyy autospectra
190:, a collaborative effort to improve the coverage of 85:, a collaborative effort to improve the coverage of 250:in signal processing, coherence is defined as: 8: 19: 136: 47: 138: 49: 7: 184:This article is within the scope of 79:This article is within the scope of 38:It is of interest to the following 296:Mid-importance Statistics articles 14: 311:Mid-priority mathematics articles 204:Knowledge:WikiProject Mathematics 306:Start-Class mathematics articles 207:Template:WikiProject Mathematics 171: 161: 140: 99:Knowledge:WikiProject Statistics 72: 51: 20: 301:WikiProject Statistics articles 291:Start-Class Statistics articles 224:This article has been rated as 119:This article has been rated as 102:Template:WikiProject Statistics 1: 198:and see a list of open tasks. 93:and see a list of open tasks. 327: 274:22:27, 9 March 2006 (UTC) 223: 156: 118: 67: 46: 230:project's priority scale 187:WikiProject Mathematics 82:WikiProject Statistics 28:This article is rated 253:gxy^2 = |<Gxy: --> 210:mathematics articles 105:Statistics articles 179:Mathematics portal 34:content assessment 244: 243: 240: 239: 236: 235: 135: 134: 131: 130: 318: 212: 211: 208: 205: 202: 181: 176: 175: 165: 158: 157: 152: 144: 137: 125:importance scale 107: 106: 103: 100: 97: 76: 69: 68: 63: 55: 48: 31: 25: 24: 16: 326: 325: 321: 320: 319: 317: 316: 315: 281: 280: 209: 206: 203: 200: 199: 177: 170: 150: 104: 101: 98: 95: 94: 61: 32:on Knowledge's 29: 12: 11: 5: 324: 322: 314: 313: 308: 303: 298: 293: 283: 282: 279: 278: 277: 276: 242: 241: 238: 237: 234: 233: 222: 216: 215: 213: 196:the discussion 183: 182: 166: 154: 153: 145: 133: 132: 129: 128: 121:Mid-importance 117: 111: 110: 108: 91:the discussion 77: 65: 64: 62:Mid‑importance 56: 44: 43: 37: 26: 13: 10: 9: 6: 4: 3: 2: 323: 312: 309: 307: 304: 302: 299: 297: 294: 292: 289: 288: 286: 275: 272: 271:Michael Hardy 268: 267: 266: 265: 264: 261: 258: 255: 251: 248: 231: 227: 221: 218: 217: 214: 197: 193: 189: 188: 180: 174: 169: 167: 164: 160: 159: 155: 149: 146: 143: 139: 126: 122: 116: 113: 112: 109: 92: 88: 84: 83: 78: 75: 71: 70: 66: 60: 57: 54: 50: 45: 41: 35: 27: 23: 18: 17: 262: 259: 256: 252: 249: 245: 226:Mid-priority 225: 185: 151:Mid‑priority 120: 80: 40:WikiProjects 201:Mathematics 192:mathematics 148:Mathematics 30:Start-class 285:Categories 96:Statistics 87:statistics 59:Statistics 254:|^2 / 228:on the 123:on the 36:scale. 220:Mid 115:Mid 287:: 232:. 127:. 42::

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Statistics
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Michael Hardy
22:27, 9 March 2006 (UTC)
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