The approach is based on modeling the signal phase by a polynomial function of time on a
finite interval. The phase polynomial is expressed as a linear combination of the Legendre …

This paper considers the problem of estimating signals consisting of one or more
components of the form a (t) e/sup j/spl phi/(t/), where the amplitude and phase functions are …

We study a class of nonstationary multicomponent signals, where each component has the
form a (t) exp j/spl phi/(t), where a (t) is a random amplitude function, and/spl phi/(t) is a …

The authors derive the Cramer-Rao lower bound (CRLB) for complex signals with constant
amplitude and polynomial phase, measured in additive Gaussian white noise. The exact …

Modeling of a class of nonstationary signals with randomly time-varying amplitude and
parametric polynomial phase is addressed. A novel approach is proposed for the estimation …

It is shown that at high signal-to-noise ratio, phase data alone constitute a sufficient statistic
for the estimation of the angle parameters of a single exponential signal in Gaussian noise …

An iterative procedure for optimally estimating the phase angle of a sinusoid of known
frequency is presented. The sinusoid is observed in additive Gaussian noise, and the phase …

The relationship between instantaneous frequency estimation based on the derivative of the
phase of the analytic signal and the first moment of the general time-frequency …

The discrete polynomial-phase transform (DPT) is a new tool for analyzing constant-
amplitude polynomial-phase signals. The main properties of the DPT are its ability to identify …

The problem of estimating the frequency and carrier phase of a single sinusoid observed in
additive, white, Gaussian noise is addressed. Much of the work in the literature considers …