Auto-term representation by the reduced interference distributions: a procedure for kernel design

An analysis of auto-term presentation using the reduced interference distributions (RID) is done. Comparison with an ideal time-frequency signal representation is taken as a basis for this analysis. The following distributions are considered: Choi-Williams (1989), Zao-Atlas-Marks, Born-Jordan, sinc,...

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Published inIEEE transactions on signal processing Vol. 44; no. 6; pp. 1557 - 1563
Main Author Stankovic, L.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.06.1996
Institute of Electrical and Electronics Engineers
Subjects
Applied sciences
Bandwidth
Delay
Exact sciences and technology
Frequency modulation
Information, signal and communications theory
Interference
Kernel
Shape
Signal analysis
Signal and communications theory
Signal representation. Spectral analysis
Signal representations
Signal, noise
Spectrogram
Telecommunications and information theory
Time frequency analysis
Signal processing
Function representation
Noise reduction
Signal analysis
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Abstract An analysis of auto-term presentation using the reduced interference distributions (RID) is done. Comparison with an ideal time-frequency signal representation is taken as a basis for this analysis. The following distributions are considered: Choi-Williams (1989), Zao-Atlas-Marks, Born-Jordan, sinc, Zhang-Sato (see ibid., vol.42, no.1, p.54, 1994), Butterworth, spectrogram, and the author's recently proposed S-method for time-frequency analysis. Various distributions produce different auto-term shapes. In all cases, the condition for cross-term reduction is contradictory to the condition for high auto-term quality. A procedure for designing a kernel that will produce the desired auto-term shape is demonstrated. An optimal kernel, with respect to the auto-term quality and cross-term suppression, is derived.
AbstractList An analysis of auto-term presentation using the reduced interference distributions (RID) is done. Comparison with an ideal time-frequency signal representation is taken as a basis for this analysis. The following distributions are considered: Choi-Williams (1989), Zao-Atlas-Marks, Born-Jordan, sinc, Zhang-Sato (see ibid., vol.42, no.1, p.54, 1994), Butterworth, spectrogram, and the author's recently proposed S-method for time-frequency analysis. Various distributions produce different auto-term shapes. In all cases, the condition for cross-term reduction is contradictory to the condition for high auto-term quality. A procedure for designing a kernel that will produce the desired auto-term shape is demonstrated. An optimal kernel, with respect to the auto-term quality and cross-term suppression, is derived
An analysis of auto-term presentation using the reduced interference distributions (RID) is done. Comparison with an ideal time-frequency signal representation is taken as a basis for this analysis. The following distributions are considered: Choi-Williams (1989), Zao-Atlas-Marks, Born-Jordan, sinc, Zhang-Sato (see ibid., vol.42, no.1, p.54, 1994), Butterworth, spectrogram, and the author's recently proposed S-method for time-frequency analysis. Various distributions produce different auto-term shapes. In all cases, the condition for cross-term reduction is contradictory to the condition for high auto-term quality. A procedure for designing a kernel that will produce the desired auto-term shape is demonstrated. An optimal kernel, with respect to the auto-term quality and cross-term suppression, is derived.
An analysis of auto-term presentation using the reduced interference distributions (RID) is done. Comparison with an ideal time-frequency signal representation is taken as a basis for this analysis. The following distributions are considered: Choi-Williams, Zao-Atlas-Marks, Born-Jordan, Sinc, Zhang-Sato, Butterworth, Spectrogram, and the author's recently proposed S-method for time-frequency analysis. Various distributions produce different auto-term shapes. In all cases, the condition for cross-term reduction is contradictory to the condition for high auto-term quality. A procedure for designing a kernel that will produce the desired auto-term shape is demonstrated. An optimal kernel, with respect to the auto-term quality and cross-term suppression, is derived.
Author Stankovic, L.
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Snippet An analysis of auto-term presentation using the reduced interference distributions (RID) is done. Comparison with an ideal time-frequency signal representation...
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SubjectTerms Applied sciences
Bandwidth
Delay
Exact sciences and technology
Frequency modulation
Information, signal and communications theory
Interference
Kernel
Shape
Signal analysis
Signal and communications theory
Signal representation. Spectral analysis
Signal representations
Signal, noise
Spectrogram
Telecommunications and information theory
Time frequency analysis
Title Auto-term representation by the reduced interference distributions: a procedure for kernel design
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Volume 44
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