F. Gini et Gb. Giannakis, Hybrid FM-polynomial phase signal modeling: Parameter estimation and Cramer-Rao bounds, IEEE SIGNAL, 47(2), 1999, pp. 363-377
Parameter estimation for a class of nonstationary signal models is addresse
d. The class contains combination of a polynomial-phase signal (PPS) and a
frequency-modulated (FM) component of the sinusoidal or hyperbolic type, Su
ch signals appear in radar and sonar applications involving moving targets
with vibrating or rotating components, A novel approach is proposed that al
lows us to decouple estimation of the FM parameters from those of the PPS,
relying on properties of the multilag high-order ambiguity function (mI-HAF
), The accuracy achievable by any unbiased estimator of the hybrid FM-PPS p
arameters is investigated by means of the Cramer-Rao lower bounds (CRLB's),
Both exact and large sample approximate expressions of the bounds are deri
ved and compared with the performance of the proposed methods based on Mont
e Carlo simulations.