Model selection of random amplitude polynomial phase signals

Procedures for selecting the amplitude and phase models of a polynomial phase signal (PPS) modulated by a nonstationary random process are presented. The model selection is performed by using nonlinear least-squares type phase and amplitude parameter estimators with sequential generalizations of the Bonferroni test. Simulation results are used to analyze the performance of the procedures. An application to modeling of real passive acoustic data is presented.

[1]  Shan Lu,et al.  Nonlinear modeling and processing of speech based on sums of AM-FM formant models , 1996, IEEE Trans. Signal Process..

[2]  G. Hommel.  A stagewise rejective multiple test procedure based on a modified Bonferroni test , 1988 .

[3]  R. Serfling.  Approximation Theorems of Mathematical Statistics , 1980 .

[4]  Petros Maragos,et al.  Energy separation in signal modulations with application to speech analysis , 1993, IEEE Trans. Signal Process..

[5]  D. C. Reid,et al.  Aircraft flight parameter estimation based on passive acoustic techniques using the polynomial Wigner–Ville distribution , 1997 .

[6]  Mark R. Morelande,et al.  Estimating the dynamics of aberration components in the human eye , 2001, Proceedings of the 11th IEEE Signal Processing Workshop on Statistical Signal Processing (Cat. No.01TH8563).

[7]  Y. Hochberg.  A sharper Bonferroni procedure for multiple tests of significance , 1988 .

[8]  D. Rom.  A sequentially rejective test procedure based on a modified Bonferroni inequality , 1990 .

[9]  Brian G. Ferguson,et al.  Application of the short‐time Fourier transform and the Wigner–Ville distribution to the acoustic localization of aircraft , 1994 .

[10]  Georgios B. Giannakis,et al.  Hybrid FM-polynomial phase signal modeling: parameter estimation and Cramer-Rao bounds , 1999, IEEE Trans. Signal Process..

[11]  S. Holm.  A Simple Sequentially Rejective Multiple Test Procedure , 1979 .

[12]  Georgios B. Giannakis,et al.  Estimating random amplitude polynomial phase signals: a cyclostationary approach , 1995, IEEE Trans. Signal Process..

[13]  B. Quinn.  Doppler speed and range estimation using frequency and amplitude estimates , 1995 .

[14]  Bernard C. Picinbono,et al.  On instantaneous amplitude and phase of signals , 1997, IEEE Trans. Signal Process..

[15]  J. Rissanen,et al.  Modeling By Shortest Data Description* , 1978, Autom..

[16]  H. Akaike.  A new look at the statistical model identification , 1974 .

[17]  Rupert G. Miller.  Simultaneous Statistical Inference , 1966 .

[18]  G. B. Wetherill,et al.  The Present State of Multiple Comparison Methods , 1971 .

[19]  David Charles Reid.  Improved aircraft flight parameter estimation based on passive acoustic techniques using time-frequency methods , 1997 .

[20]  B. Ferguson.  A ground-based narrow-band passive acoustic technique for estimating the altitude and speed of a propeller-driven aircraft , 1992 .

[21]  Abdelhak M. Zoubir,et al.  Bootstrap modeling of a class of nonstationary signals , 2000, IEEE Trans. Signal Process..

[22]  Petros Maragos,et al.  Speech analysis and synthesis using an AM-FM modulation model , 1999, Speech Commun..