Nonlinear Wigner-Ville spectrum estimation using wavelet soft-thresholding

Richard G. Baraniuk

doi:10.1117/12.205429

6 April 1995 Nonlinear Wigner-Ville spectrum estimation using wavelet soft-thresholding

Richard G. Baraniuk

Proceedings Volume 2491, Wavelet Applications II; (1995) https://doi.org/10.1117/12.205429
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

Abstract

The large variance of the Wigner-Ville distribution makes smoothing essential for producing readable estimates of the time-varying power spectrum of noise-corrupted signals. Since linear smoothing trades reduced variance for increased bias of the signal components, we explore two nonlinear estimation techniques based on soft thresholding in an orthonormal basis representation. Soft thresholding provides considerable variance reduction without greatly impairing the time-frequency resolution of the estimated spectrum.

Citation Download Citation

Richard G. Baraniuk "Nonlinear Wigner-Ville spectrum estimation using wavelet soft-thresholding", Proc. SPIE 2491, Wavelet Applications II, (6 April 1995); https://doi.org/10.1117/12.205429

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