A probabilistic analysis of time delay extraction by the cepstrum in stationary Gaussian noise

Hassab, Joseph C.; Boucher, R.

doi:10.1109/tit.1976.1055580

Cited by 36 publications

(6 citation statements)

References 8 publications

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“…2. In most cases a decrease in the bandwidth of the noise for a given S/N resulted in an increase in rank, again in agreement with [2]. Of the remainder only tao showed a decrease in rank.…”

Section: Resultssupporting

confidence: 77%

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Experiments with echo detection in the presence of noise using the power cepstrum and a modification

Loew¹,

Shankar²,

Mucciardi³

ICASSP '77. IEEE International Conference on Acoustics, Speech, and Signal Processing

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Because of the interest at Adaptronics in using ultrasound to detect defects in materials [6,7:1, a set of experinents in echo-tine detection was performed. Accurate knowledge of the tine at which an echo of a signal begins, relative to the start of the signal, allows determination of thicknesses, depths, and other characteristics of the object under study. AbstractThe power cepstrum of a function is found by computing the power spectrum of the logarithm of the power spectrum of that function. In addition, some applications of the cepstrum employ a smoothing (windowing) function imnediately before or after the logarithm operation.This paper describes sane experiments in echotine detection and quefrency-band power measurements performed on ultrasound waveforms, both by the standard cepstral method and by the deletion of either or both of the window and the logarithm from that method. It is shown that echo-time detection in the presence of noise is achieved more reliably without the logarithm step for the waveforms of interest. Our experimental findings compare favorably with theoretical results reported recently by Ilassab and Boucher [23.

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Section: Resultssupporting

confidence: 77%

“…Noise was added at each of two levels, 40 and 0 dB, and each of two bandwidths to provide a basis for comparison of our results with those of Hassab and Boucher [2]. A power spectrum of the original signal revealed a center frequency of 7.42 MHz and (half-power) bandwidth points at 6.78 MHz and 8.20 MHz.…”

Section: Introductionmentioning

confidence: 97%

Experiments with echo detection in the presence of noise using the power cepstrum and a modification

Loew¹,

Shankar²,

Mucciardi³

ICASSP '77. IEEE International Conference on Acoustics, Speech, and Signal Processing

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“…Windowing has been applied to the various types of time delayestimators that may be encountered in a CLMA problem. The specific time delay estimator used in a given problem depends on the number of sensors available and on the number of signal arrivals at each point [19,[22][23][24][25][26][27][28][29][30][31][32]. In one situation (figures 2d, 2e), multiple acoustic propagation paths lead to intersection at a single sensing point.…”

Section: Windowingmentioning

confidence: 99%

Contact Localization and Motion Analysis in the Ocean Environment: A Perspective

Hassab¹

1983

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UNCLASSIFIED 15«. DECLASSIFICATION / DOWNGRADING SCHEDULE ie. DISTRIBUTION STATEMENT lof IhU ReponI 17. DISTRIBUTION STATEMENT lof the abttract enumd in Block 20, if differttU from Reponi Approved for public release; distribution unlimited. 19. SUPPLEMENTARY NOTES 19. KEY WORDS fContmua on rewne iide if neemsMry and idmntify by block number/ Contact Location and Motion Analysis 20. ABSTRACT {Continue on mvene aide if neceaaary and identify by block numbert This document provides an overview of Contact Localization and Motion Analysis (CLMA) in the ocean environment. Such well-studied cases as passive bearings-only contact motion analysis, multipath ranging, and localization/tracking via arrays are used to illustrate the concept. The performance of current CLMA systems is shown to depend on the type and characteristics of the basic measurements developed by their time delay estimators, the acoustic channels linking contact and observer, and the DD, 'r"147 3 20. Abstract (Cont'd) type and description of relative motion between contact and observer. General classes of CLMA schemes are presented. Complexity is shown to depend on the linearity/nonlinearity of their solution equations, the degree to which a contact is observable at each sample time, and the relative motion or degree of stationarity between contact and observer. Contributions to total system gain, biasing issues, and candidate solutions are discussed. Comprehensive references are provided.

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“…The linear prediction procedure calculates the coefficients for an all pole filter from the windowed speech signal by an autocorrelation technique [71]. For this example the windowed data was 20 ms with p = 16.…”

Section: Frequency I K H Z )mentioning

confidence: 99%

The cepstrum: A guide to processing

Skinner²,

1977

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A&tmct-This paper is a pragmatic tutorial review of the cepstrum litemture focusing on data processing. The power, complex, and phase cepstrr~showntobeerpilyrehtedtooaemother. Roblemsrssodated with plnse unwrqphg, linear phase components, spechum notching, rlhsing, oversunpling, and extending &e data aeqnence with zeros are dixmssed. The advlntaga and di.uddpmtrges of windowing the sampled data sequence, the log s p e c t n m , and the complex cepstrum are pxesented. The iufluence of noise upon the data processing procedures is discussed throughout the paper, but is not thoroughly analyzed. The effects of nrious forms of liftering the cepstnun are desai bed. The d lx obtained by applying whitening and trend removal techniques to the spectrum prior to the alcuhtion of the cep S i N D l U e d i S C U S dWe have attempted to synthesize the results, procedures, and infor-mation~tothemauyfieldsthatareEindingcepstnunamlysis wful. In particubu we discuss the interpretation and F g of data in such areas as speech, -, and hydmacoustm. But we must caution the readex that the paper is heavily influenced by our own experiences; specirk procedures that have been found useful in one field should not be conaidered as totally general to other fields. t~h o p e d t h . t t h i s r w i e w w i l l b e o f n l u e t o t h o s e f~w i t h t h e fi~andreducethetimerequiredforthosewishingtobecome~.

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A probabilistic analysis of time delay extraction by the cepstrum in stationary Gaussian noise

Cited by 36 publications

References 8 publications

Experiments with echo detection in the presence of noise using the power cepstrum and a modification

Experiments with echo detection in the presence of noise using the power cepstrum and a modification

Contact Localization and Motion Analysis in the Ocean Environment: A Perspective

The cepstrum: A guide to processing

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