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Time deviation

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of the measured clock source. The time deviation thus forms a standard deviation type of measurement to indicate the time instability of the signal source. This is a scaled variant of frequency stability of
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and is a statistical analysis of the phase stability of a signal over a given period. Measurements of a reference timing signal will refer to its TDEV and
398:. The 3 in the denominator normalizes TVAR to be equal to the classical variance if the deviations in x are random and uncorrelated (white-noise). 237: 527: 105: 39: 86: 43: 58: 241: 65: 72: 402: 175: 352:{\displaystyle \sigma _{x}^{2}(\tau )={\frac {\tau ^{2}}{3}}\operatorname {mod} \sigma _{y}^{2}(n\tau _{0})} 253: 230: 191: 32: 54: 486:{\displaystyle \sigma _{x}(\tau )={\frac {\tau }{\sqrt {3}}}\operatorname {mod} \sigma _{y}(n\tau _{0})} 128: 365: 532: 79: 229:
is the time stability of phase versus observation interval tau. It is a scaled variant of
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TDEV is a metric often used to determine an aspect of the quality of
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or TDEV, which is the square-root of TVAR, may be derived from MDEV
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NIST SP 1065: Handbook of Frequency Stability Analysis
413: 368: 264: 194: 131: 46:. Unsourced material may be challenged and removed. 485: 390: 351: 221: 153: 238:timing signals in telecommunication applications 8: 474: 458: 436: 418: 412: 382: 367: 340: 324: 319: 298: 292: 274: 269: 263: 204: 199: 193: 136: 130: 106:Learn how and when to remove this message 502: 222:{\displaystyle \sigma _{x}^{2}(\tau )} 7: 178:, but other estimators may be used. 44:adding citations to reliable sources 252:The most common estimator uses the 174:. It is commonly defined from the 154:{\displaystyle \sigma _{x}(\tau )} 14: 161:, is the time stability of phase 391:{\displaystyle \tau =n\tau _{o}} 20: 31:needs additional citations for 480: 464: 430: 424: 346: 330: 286: 280: 216: 210: 148: 142: 1: 165:versus observation interval 242:maximum time interval error 549: 528:Signal processing metrics 403:modified Allan deviation 176:modified Allan deviation 254:modified Allan variance 231:modified Allan variance 487: 392: 353: 223: 155: 488: 393: 354: 224: 156: 411: 366: 262: 192: 129: 40:improve this article 329: 279: 209: 483: 388: 349: 315: 265: 219: 195: 151: 446: 445: 307: 125:), also known as 116: 115: 108: 90: 540: 512: 507: 492: 490: 489: 484: 479: 478: 463: 462: 447: 441: 437: 423: 422: 397: 395: 394: 389: 387: 386: 358: 356: 355: 350: 345: 344: 328: 323: 308: 303: 302: 293: 278: 273: 228: 226: 225: 220: 208: 203: 188:) also known as 160: 158: 157: 152: 141: 140: 111: 104: 100: 97: 91: 89: 55:"Time deviation" 48: 24: 16: 548: 547: 543: 542: 541: 539: 538: 537: 518: 517: 516: 515: 508: 504: 499: 470: 454: 414: 409: 408: 378: 364: 363: 336: 294: 260: 259: 250: 190: 189: 172:Allan deviation 132: 127: 126: 112: 101: 95: 92: 49: 47: 37: 25: 12: 11: 5: 546: 544: 536: 535: 530: 520: 519: 514: 513: 501: 500: 498: 495: 494: 493: 482: 477: 473: 469: 466: 461: 457: 453: 450: 444: 440: 435: 432: 429: 426: 421: 417: 385: 381: 377: 374: 371: 360: 359: 348: 343: 339: 335: 332: 327: 322: 318: 314: 311: 306: 301: 297: 291: 288: 285: 282: 277: 272: 268: 249: 246: 218: 215: 212: 207: 202: 198: 150: 147: 144: 139: 135: 119:Time deviation 114: 113: 28: 26: 19: 13: 10: 9: 6: 4: 3: 2: 545: 534: 531: 529: 526: 525: 523: 511: 506: 503: 496: 475: 471: 467: 459: 455: 451: 448: 442: 438: 433: 427: 419: 415: 407: 406: 405: 404: 399: 383: 379: 375: 372: 369: 341: 337: 333: 325: 320: 316: 312: 309: 304: 299: 295: 289: 283: 275: 270: 266: 258: 257: 256: 255: 247: 245: 243: 239: 234: 232: 213: 205: 200: 196: 187: 183: 182:Time variance 179: 177: 173: 168: 164: 145: 137: 133: 124: 120: 110: 107: 99: 88: 85: 81: 78: 74: 71: 67: 64: 60: 57: –  56: 52: 51:Find sources: 45: 41: 35: 34: 29:This article 27: 23: 18: 17: 505: 400: 361: 251: 235: 185: 181: 180: 166: 162: 122: 118: 117: 102: 93: 83: 76: 69: 62: 50: 38:Please help 33:verification 30: 533:Measurement 522:Categories 497:References 248:Definition 66:newspapers 472:τ 456:σ 452:⁡ 439:τ 428:τ 416:σ 380:τ 370:τ 338:τ 317:σ 313:⁡ 296:τ 284:τ 267:σ 214:τ 197:σ 146:τ 134:σ 96:June 2024 80:scholar 362:where 82:  75:  68:  61:  53:  87:JSTOR 73:books 186:TVAR 123:TDEV 59:news 449:mod 310:mod 42:by 524:: 233:. 481:) 476:0 468:n 465:( 460:y 443:3 434:= 431:) 425:( 420:x 384:o 376:n 373:= 347:) 342:0 334:n 331:( 326:2 321:y 305:3 300:2 290:= 287:) 281:( 276:2 271:x 217:) 211:( 206:2 201:x 184:( 167:τ 163:x 149:) 143:( 138:x 121:( 109:) 103:( 98:) 94:( 84:· 77:· 70:· 63:· 36:.

Index


verification
improve this article
adding citations to reliable sources
"Time deviation"
news
newspapers
books
scholar
JSTOR
Learn how and when to remove this message
Allan deviation
modified Allan deviation
modified Allan variance
timing signals in telecommunication applications
maximum time interval error
modified Allan variance
modified Allan deviation
NIST SP 1065: Handbook of Frequency Stability Analysis
Categories
Signal processing metrics
Measurement

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