Synthesis of discrete-time discrete-frequency Wigner distribution

Sudarshan Rao Nelatury; Bijan G. Mobasseri

doi:10.1109/LSP.2003.814391

Synthesis of discrete-time discrete-frequency Wigner distribution

Sudarshan Rao Nelatury, Bijan G. Mobasseri

School of Engineering (Behrend)

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English (US)
Pages (from-to)	221-224
Number of pages	4
Journal	IEEE Signal Processing Letters
Volume	10
Issue number	8
DOIs	https://doi.org/10.1109/LSP.2003.814391
State	Published - Aug 2003

All Science Journal Classification (ASJC) codes

Signal Processing
Electrical and Electronic Engineering
Applied Mathematics

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10.1109/LSP.2003.814391

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title = "Synthesis of discrete-time discrete-frequency Wigner distribution",

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.",

author = "Nelatury, {Sudarshan Rao} and Mobasseri, {Bijan G.}",

note = "Funding Information: Manuscript received May 21, 2002; revised October 18, 2002. This work was supported in part by the U.S. Air Force Office of Scientific Research under Grant F 49620-01-1-0446. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Markus Pueschel.",

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AU - Mobasseri, Bijan G.

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N2 - 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.

AB - 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.

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Synthesis of discrete-time discrete-frequency Wigner distribution

Abstract

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