Synthesis of discrete-time discrete-frequency Wigner distribution

Author

Nelatury, Sudarshan Rao ; Mobasseri, Bijan G.

Author_Institution

Dept. of Electr. & Comput. Eng., Villanova Univ., PA, USA

Volume

10

Issue

8

fYear

2003

Firstpage

221

Lastpage

224

Abstract

A recursive algorithm is proposed for synthesizing a discrete-time periodic signal from a specified discrete-time discrete-frequency Wigner distribution by minimizing the error in the cyclic outer product. Equating the gradient of the error with respect to signal samples to zero results in a set of nonlinear simultaneous equations, which are solved using Newton-Raphson´s method. A simulation example is given showing the synthesized signal over the first few iterations.

Keywords

Newton-Raphson method; Wigner distribution; discrete time systems; minimisation; nonlinear equations; recursive estimation; signal sampling; signal synthesis; Newton-Raphson method; cyclic outer product; discrete-time discrete-frequency Wigner distribution; discrete-time periodic signal; error gradient; error minimization; iterations; nonlinear simultaneous equations; recursive algorithm; signal samples; signal synthesis; simulation; Frequency domain analysis; Frequency synthesizers; Inverse problems; Nonlinear equations; Recursive estimation; Signal processing; Signal synthesis; Time frequency analysis; Watermarking;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2003.814391

Filename

1213536