Instantaneous frequency estimation of quadratic and cubic FM signals using the cross polynomial Wigner-Ville distribution

Author

Ristic, Branko ; Boashash, Boualem

Author_Institution

Signal Process. Res. Centre, Univ. of Technol., Brisbane, Australia

Volume

44

Issue

6

fYear

1996

fDate

6/1/1996 12:00:00 AM

Firstpage

1549

Lastpage

1553

Abstract

The cross polynomial Wigner-Ville distribution (X-PWVD) is applied to instantaneous frequency (IF) estimation of polynomial FM signals. The X-PWVD is used in a simple iterative algorithm, similar to the one proposed by Boashash and O´Shea (see ibid., vol.41, no.3, p.1439, 1993) for the cross Wigner-Ville distribution (X-WVD). The advantage of the X-PWVD over the polynomial Wigner-Ville distribution is that the former is linear with respect to the observed signal and as a result it attains the Cramer-Rao bound at lower signal-to-noise ratios (SNRs)

Keywords

Wigner distribution; frequency estimation; frequency modulation; iterative methods; polynomials; signal processing; time-frequency analysis; Cramer-Rao bound; SNR; cross Wigner-Ville distribution; cross polynomial Wigner-Ville distribution; cubic FM signals; instantaneous frequency estimation; iterative algorithm; observed signal; polynomial FM signals; quadratic FM signals; signal to noise ratio; time-frequency analysis; Additive noise; Algorithm design and analysis; Degradation; Frequency estimation; Iterative algorithms; Polynomials; Signal analysis; Signal processing algorithms; Signal to noise ratio; Time frequency analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.506620

Filename

506620