NDLI: Gaussian Noise Time-Varying Power Spectrum Estimation With Minimal Statistics

Content Provider	IEEE Xplore Digital Library
Author	Huillery, J. Millioz, F. Martin, N.
Copyright Year	1991
Abstract	Given the spectrogram of an unknown signal embedded in a Gaussian noise, the Minimal Statistics Maximum Likelihood (MiniSMaL) estimator of the noise time-varying power spectrum is presented, and a method to tune one of its parameter is studied. The objective of the minimal statistics approach is to separate the signal of interest from the noise in order to estimate properly the probabilistic properties of the latter. Considering an initial time-frequency estimation neighborhood, the strategy relies on the selection of a minimal subset containing the time-frequency coefficients with the smallest values. Estimators of the noise are then sought from this minimal subset. In this work, the case of a spectrogram constructed from a finite-length discrete-time noisy signal is presented. This study extends previous works on minimal statistics on two aspects: first, the maximum likelihood estimate of the noise is formulated according to a clear analysis of the probability distribution of the time-frequency coefficients. Second, the choice of an optimal minimal subset is investigated. The signal versus noise discrimination property of the spectral kurtosis is used to select a minimal subset which ensures a fair trade-off between the bias and the variance of the estimator. The resulting performances are discussed and compared with those of other methods through numerical simulations on synthetic signals. The use of the MiniSMaL estimator in a time-frequency detection procedure is finally illustrated on a real-world signal.
Sponsorship	IEEE Signal Processing Society
Starting Page	5892
Ending Page	5906
Page Count	15
File Size	3357932
File Format	PDF
ISSN	1053587X
Volume Number	62
Issue Number	22
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Noise Time-frequency analysis Spectrogram Maximum likelihood estimation Probability density function Maximum likelihood detection spectrogram Noise estimation time-varying power spectrum minimal statistics maximum likelihood spectral kurtosis
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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