Statistical Analysis of a Time-varying Amplitude Polynomial Phase Signal

M. Benidir, M. Sahmoudi, and A. Ouldali (France)

Keywords

Non stationary signals, polynomial phase signal, HAF-estimator, error formula

Abstract

The problem of statistical analysis of the phase parameters of a phase-modulated signal in the presence of multiplicative noise and additive white noise is addressed. In this paper, we derive the error formula of the estimated frequency of a time-varying amplitude complex discrete-time sinusoid. We extend the obtained result to a time-varying amplitude polynomial phase signal. We derive the bias and the variance of the proposed HAF-estimator of the higher degree coefficient of the phase.

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