A new time-frequency transform for non-stationary signals with any nonlinear instantaneous phase

DOI10.1007/S11045-007-0042-ZzbMath1169.93409OpenAlexW1976548135MaRDI QIDQ835708

Len Gelman, Jeremy D. Gould

Publication date: 31 August 2009

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11045-007-0042-z

zbMATH Keywords

adaptationWigner distributiontime-frequency analysisnonlinear variation of the instantaneous phase

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Estimation and detection in stochastic control theory (93E10) Frequency-response methods in control theory (93C80) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

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Cites Work

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• Local polynomial approximation of the instantaneous frequency: Asymptotic accuracy
• Local polynomial Wigner distribution
• A four-parameter atomic decomposition of chirplets
• Discrete chirp-Fourier transform and its application to chirp rate estimation
• Kernel design for time-frequency signal analysis using the Radon transform
• The Application of the Wigner Distribution to the Identification of Structure-borne Noise Components
• Evolutionary chirp representation of non-stationary signals via Gabor transform

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