Recognition of signals with polynomial frequency modulation embedded in additive noise

Ewa Swiercz

doi:10.1117/12.675078

26 April 2006 Recognition of signals with polynomial frequency modulation embedded in additive noise

Ewa Swiercz

Proceedings Volume 6159, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments IV; 61591D (2006) https://doi.org/10.1117/12.675078
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments IV, 2005, Wilga, Poland

Abstract

Polynomial Wigner Ville distribution (PWVD) is considered as a tool for recognition of signals with an unknown frequency modulation law. This time-frequency distribution (TF) with multi-linear kernel is an optimal form for signals with a polynomial frequency modulation law. Instantaneous frequency (IF) is the important property of non-stationary signals, i.e. signals whose spectral contents vary with time. Then the recognition of unknown signals can be formulated as the problem of estimation of its instantaneous frequency. The studies of estimation of IF for noiseless signals can be found in literature. The noise embedded in a signal has large influence on time-frequency distribution and can change the true value of the IF. Time-frequency distribution strongly depends on the kind of noise. In this paper signals embedded in additive gaussian and impulse noise have been considered. Estimation of the instantaneous fiequency in impulsive noise background is different than in gaussian noise and requires robust forms of time-frequency distributions. In this paper the application of the robust form of the Wigner-Ville distribution (WVD_r) and the robust form of the polynomial Wigner-Ville distribution (PWVD_r) for IF estimation is presented. Maxima of these distributions are assumed as the estimates of true values of IF. The theoretical background of WVD_r and PWVD_r distributions is introduced and several numerical experiments of IF estimation are presented.

Citation Download Citation

Ewa Swiercz "Recognition of signals with polynomial frequency modulation embedded in additive noise", Proc. SPIE 6159, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments IV, 61591D (26 April 2006); https://doi.org/10.1117/12.675078

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KEYWORDS

Frequency modulation

Interference (communication)

Time-frequency analysis

Signal to noise ratio

Fermium

3D image processing

Doppler effect

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