Analysis of multicomponent polynomial phase signals

Pham, DucSon; Zoubir, A.

doi:10.1109/TSP.2006.882085

117801_Analysis%20of%20multicomponent%20PID%20117801.pdf (768.1Kb)

Access Status

Open access

Authors

Pham, DucSon

Zoubir, A.

Date

2007

Type

Journal Article

Metadata

Show full item record

Citation

Pham, Duc and Zoubir, Abdelhak. 2007. Analysis of multicomponent polynomial phase signals. IEEE Transactions on Signal Processing. 55 (1): pp. 56-65.

Source Title

IEEE Transactions on Signal Processing

DOI

10.1109/TSP.2006.882085

ISSN

1053587X

Faculty

School of Electrical Engineering and Computing

Department of Computing

Faculty of Science and Engineering

Remarks

Copyright © 2007 IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.

URI

http://hdl.handle.net/20.500.11937/31850

Collection

Curtin Research Publications

Abstract

While the theory of estimation of monocomponent polynomial phase signals is well established, the theoretical and methodical treatment of multicomponent polynomial phase signals (mc-PPSs) is limited. In this paper, we investigate several aspects of parameter estimation for mc-PPSs and derive the Crameacuter-Rao bound. We show the limits of existing techniques and then propose a nonlinear least squares (NLS) approach. We also motivate the use the Nelder-Mead simplex algorithm for minimizing the nonlinear cost function. The slight increase in computational complexity is a tradeoff for improved mean square error performance, which is evidenced by simulation results.