Optimal kernels for time-frequency analysis

Richard G. Baraniuk; Douglas L. Jones

doi:10.1117/12.23475

Optimal kernels for time-frequency analysis

Richard G. Baraniuk, Douglas L. Jones

Houston Methodist

Research output: Contribution to journal › Conference article › peer-review

10 Scopus citations

Abstract

Current bilinear time-frequency representations apply a fixed kernel to smooth the Wigner distribution. However, the choice of a fixed kernel limits the class of signals that can be analyzed effectively. This paper presents optimality criteria for the design of signal-dependent kernels that suppress cross-components while passing as much auto-component energy as possible, irrespective of the form of the signal. A fast algorithm for the optimal kernel solution makes the procedure competitive computationally with fixed kernel methods. Examples demonstrate the superior performance of the optimal kernel for a frequency modulated signal.

Original language	English (US)
Pages (from-to)	181-187
Number of pages	7
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	1348
DOIs	https://doi.org/10.1117/12.23475
State	Published - Nov 1 1990
Event	Advanced Signal Processing Algorithms, Architectures, and Implementations 1990 - San Diego, United States Duration: Jul 8 1990 → Jul 13 1990

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

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10.1117/12.23475

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title = "Optimal kernels for time-frequency analysis",

abstract = "Current bilinear time-frequency representations apply a fixed kernel to smooth the Wigner distribution. However, the choice of a fixed kernel limits the class of signals that can be analyzed effectively. This paper presents optimality criteria for the design of signal-dependent kernels that suppress cross-components while passing as much auto-component energy as possible, irrespective of the form of the signal. A fast algorithm for the optimal kernel solution makes the procedure competitive computationally with fixed kernel methods. Examples demonstrate the superior performance of the optimal kernel for a frequency modulated signal.",

author = "Baraniuk, \{Richard G.\} and Jones, \{Douglas L.\}",

note = "Funding Information: This work was supported by the Music Group of the Computer-based Education Research Laboratory and the Joint Publisher Copyright: {\textcopyright} 1990 SPIE. All rights reserved.; Advanced Signal Processing Algorithms, Architectures, and Implementations 1990 ; Conference date: 08-07-1990 Through 13-07-1990",

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AU - Jones, Douglas L.

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N2 - Current bilinear time-frequency representations apply a fixed kernel to smooth the Wigner distribution. However, the choice of a fixed kernel limits the class of signals that can be analyzed effectively. This paper presents optimality criteria for the design of signal-dependent kernels that suppress cross-components while passing as much auto-component energy as possible, irrespective of the form of the signal. A fast algorithm for the optimal kernel solution makes the procedure competitive computationally with fixed kernel methods. Examples demonstrate the superior performance of the optimal kernel for a frequency modulated signal.

AB - Current bilinear time-frequency representations apply a fixed kernel to smooth the Wigner distribution. However, the choice of a fixed kernel limits the class of signals that can be analyzed effectively. This paper presents optimality criteria for the design of signal-dependent kernels that suppress cross-components while passing as much auto-component energy as possible, irrespective of the form of the signal. A fast algorithm for the optimal kernel solution makes the procedure competitive computationally with fixed kernel methods. Examples demonstrate the superior performance of the optimal kernel for a frequency modulated signal.

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SP - 181

EP - 187

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

T2 - Advanced Signal Processing Algorithms, Architectures, and Implementations 1990

Y2 - 8 July 1990 through 13 July 1990

ER -

Optimal kernels for time-frequency analysis

Abstract

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