Matched Wigner transform and its application to instantaneous frequency estimation

Ling Ji Xu; Yi Xin Yang; Long Yang

doi:10.3969/j.issn.0372-2112.2014.11.018

Matched Wigner transform and its application to instantaneous frequency estimation

Ling Ji Xu, Yi Xin Yang, Long Yang

School of Marine Science and Technology

Northwestern Polytechnical University Xian

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

3 Scopus citations

Abstract

A novel time-frequency analysis method referred to as matched Wigner transform (MWT) was defined in this paper. By matching bilinear signal kernel with Taylor extended Fourier revolving factor, MWT can produce a time-frequency distribution (TFD) with best concentration and without inner artifacts for mono-component high-order polynomial phase signal (PPS). In addition, an effective parameter and instantaneous frequency (IF) estimation algorithm was proposed based on MWT. The algorithm was validated by simulation examples. Finally, excellent sea experiment results were obtained when applying it to analyze the weak Doppler signal of underwater moving acoustic source.

Original language	English
Pages (from-to)	2247-2252
Number of pages	6
Journal	Tien Tzu Hsueh Pao/Acta Electronica Sinica
Volume	42
Issue number	11
DOIs	https://doi.org/10.3969/j.issn.0372-2112.2014.11.018
State	Published - 1 Nov 2014

Keywords

Doppler signal
Instantaneous frequency estimate (IF)
Matched Wigner transform
Polynomial phase signal (PPS)
Time-frequency distribution (TFD)

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10.3969/j.issn.0372-2112.2014.11.018

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title = "Matched Wigner transform and its application to instantaneous frequency estimation",

abstract = "A novel time-frequency analysis method referred to as matched Wigner transform (MWT) was defined in this paper. By matching bilinear signal kernel with Taylor extended Fourier revolving factor, MWT can produce a time-frequency distribution (TFD) with best concentration and without inner artifacts for mono-component high-order polynomial phase signal (PPS). In addition, an effective parameter and instantaneous frequency (IF) estimation algorithm was proposed based on MWT. The algorithm was validated by simulation examples. Finally, excellent sea experiment results were obtained when applying it to analyze the weak Doppler signal of underwater moving acoustic source.",

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T1 - Matched Wigner transform and its application to instantaneous frequency estimation

AU - Xu, Ling Ji

AU - Yang, Yi Xin

AU - Yang, Long

PY - 2014/11/1

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N2 - A novel time-frequency analysis method referred to as matched Wigner transform (MWT) was defined in this paper. By matching bilinear signal kernel with Taylor extended Fourier revolving factor, MWT can produce a time-frequency distribution (TFD) with best concentration and without inner artifacts for mono-component high-order polynomial phase signal (PPS). In addition, an effective parameter and instantaneous frequency (IF) estimation algorithm was proposed based on MWT. The algorithm was validated by simulation examples. Finally, excellent sea experiment results were obtained when applying it to analyze the weak Doppler signal of underwater moving acoustic source.

AB - A novel time-frequency analysis method referred to as matched Wigner transform (MWT) was defined in this paper. By matching bilinear signal kernel with Taylor extended Fourier revolving factor, MWT can produce a time-frequency distribution (TFD) with best concentration and without inner artifacts for mono-component high-order polynomial phase signal (PPS). In addition, an effective parameter and instantaneous frequency (IF) estimation algorithm was proposed based on MWT. The algorithm was validated by simulation examples. Finally, excellent sea experiment results were obtained when applying it to analyze the weak Doppler signal of underwater moving acoustic source.

KW - Doppler signal

KW - Instantaneous frequency estimate (IF)

KW - Matched Wigner transform

KW - Polynomial phase signal (PPS)

KW - Time-frequency distribution (TFD)

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JO - Tien Tzu Hsueh Pao/Acta Electronica Sinica

JF - Tien Tzu Hsueh Pao/Acta Electronica Sinica

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Matched Wigner transform and its application to instantaneous frequency estimation

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