Instantaneous frequency estimation of polynomial FM signals using the peak of the PWVD: statistical performance in the presence of additive gaussian noise

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Instantaneous frequency estimation of polynomial FM signals using the peak of the PWVD: statistical performance in the presence of additive gaussian noise

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dc.contributor.author Barkat, Braham
dc.contributor.author Boashash, Boualem
dc.date.accessioned 2011-04-26T09:46:54Z
dc.date.available 2011-04-26T09:46:54Z
dc.date.issued 1999-09
dc.identifier.citation IEEE Transactions on Signal Processing, Vol. 47, No. 9, pp. 2480-2490 en_US
dc.identifier.issn 1053-587X
dc.identifier.uri http://hdl.handle.net/10576/10671
dc.description Performance of the peak of the PWVD is provided as a function of NR. en_US
dc.description.abstract The peak of the polynomial Wigner-Ville distribution (PWVD) has been previously proposed as an estimator of the instantaneous frequency (IF) for a monocomponent polynomial frequency modulated (FM) signal. In this paper, we evaluate the statistical performance of this estimator in the case of additive white Gaussian noise and provide an analytical expression for the variance. We show that for a given PWVD order, the estimator performance can be improved by a proper choice of the kernel coefficients in the PWVD. A performance comparison between the PWVD based IF estimator and another previously proposed one based on the high-order ambiguity function (HAF) is also provided, Simulation results show that for a signal-to-noise ratio larger than 3 dB, the proposed sixth-order PWVD outperforms the HAF in estimating the IF of a third- or fourth-order polynomial phase signal, evaluated at the central point of the observation interval. en_US
dc.description.sponsorship IEEE Signal Processing Society en_US
dc.language.iso en en_US
dc.publisher IEEE en_US
dc.subject Estimation en_US
dc.subject Instantaneous Frequency en_US
dc.subject polynomial FM signals en_US
dc.subject polynomial Wigner–Ville distribution en_US
dc.subject statistical performance en_US
dc.subject time–frequency analysis en_US
dc.subject Wigner–Ville distribution en_US
dc.subject Higher Order Ambiguity function en_US
dc.subject polynomial phase signals en_US
dc.subject reduced interference en_US
dc.subject Cross-terms en_US
dc.title Instantaneous frequency estimation of polynomial FM signals using the peak of the PWVD: statistical performance in the presence of additive gaussian noise en_US
dc.type Article en_US

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