NDLI: A new form of the Fourier transform for time-varying frequency estimation

Content Provider	IEEE Xplore Digital Library
Author	Katkovnik, V.
Copyright Year	1995
Description	Author affiliation: Dept. of Stat., South Africa Univ., Pretoria, South Africa (Katkovnik, V.)
Abstract	The local polynomial Fourier transform (LPFT) and the local polynomial periodogram (LPP) are proposed in order to estimate the rapidly time-varying instantaneous frequency (IF) /spl Omega/(t) of a harmonic signal. The LPFT gives the time-frequency power distribution over the t-(/spl Omega/(t), d/spl Omega/(t)/dt,...,d/sup m-1//spl Omega/(t)/dt/sup m-1/) space, where m is a degree of the LPFT. The LPFT enables one to estimate both the time-varying frequency and its derivatives. The technique is based on fitting the local polynomial approximation of the frequency which implements a high-order nonparametric regression. The a priori information about bounds for the frequency and its derivatives can be incorporated to improve the accuracy of the estimation. The asymptotic mean square errors, bias and covariance, of the estimators of d/sup s//spl Omega/(t)/dt/sup s/, s=0, 1,2,...,m/sup -1/, are obtained. The considered estimators are high-order generalization of the short-time Fourier transform. The comparative study of the asymptotic variance and bias of the estimates is presented.
Starting Page	179
Ending Page	182
File Size	358032
Page Count	4
File Format	PDF
ISBN	0780325168
DOI	10.1109/ISSSE.1995.497962
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1995-10-25
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fourier transforms Frequency estimation Polynomials Time frequency analysis Signal analysis Speech Multiple signal classification Music Radar Sonar
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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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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