Title :
Performance analysis for a class of amplitude modulated polynomial phase signals
Author :
Zhou, Guotong ; Swami, Ananthram
Author_Institution :
Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA
Abstract :
Considers the parameter estimation problem for a class of amplitude modulated polynomial phase signals (PPS), observed in noise. The main contributions of the paper are: (1) The authors prove that the high-order ambiguity function (HAF) is invariant to certain types of amplitude modulation; thus, phase parameter estimation proceeds as in the constant amplitude case. (2) The authors derive the Cramer-Rao bounds for both the amplitude and phase parameters, when the additive noise is white Gaussian. (3) They show that the HAF is almost additive for multi-component PPS. (4) They establish the covariance bounds for the nonlinear least squares estimator when the additive noise is (non) Gaussian, and satisfies some weak mixing conditions
Keywords :
Gaussian noise; amplitude estimation; amplitude modulation; covariance matrices; interference (signal); least squares approximations; phase estimation; polynomials; signal processing; white noise; Cramer-Rao bounds; additive noise; amplitude modulated polynomial phase signals; covariance bounds; high-order ambiguity function; mixing conditions; nonlinear least squares estimator; parameter estimation problem; phase parameter estimation; white Gaussian; Additive noise; Amplitude estimation; Amplitude modulation; Least squares approximation; Noise level; Parameter estimation; Performance analysis; Phase modulation; Phase noise; Polynomials;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-2431-5
DOI :
10.1109/ICASSP.1995.479868