A higher order method for concentrating the STFT

D. J. Nelson; D. C. Smith

doi:10.1117/12.618153

16 September 2005 A higher order method for concentrating the STFT

D. J. Nelson, D. C. Smith

Proceedings Volume 5910, Advanced Signal Processing Algorithms, Architectures, and Implementations XV; 59100G (2005) https://doi.org/10.1117/12.618153
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

We present a method for computing the theoretically exact estimate of the instantaneous frequency of a signal from local values of its short time Fourier transform under the assumption that the complex logarithm of the signal is a polynomial in time. We apply the method to the problem of estimating and separating non-stationary components of a multi-component signal. Signal estimation and separation is based on a linear TF model in which the value of the signal at each time is distributed in frequency. This is a significant departure from the conventional nonlinear model in which signal energy is distributed in time and frequency. We further demonstrate by a simple example that IF estimated by the higher order method is significantly better than previously used first order methods.

Citation Download Citation

D. J. Nelson and D. C. Smith "A higher order method for concentrating the STFT", Proc. SPIE 5910, Advanced Signal Processing Algorithms, Architectures, and Implementations XV, 59100G (16 September 2005); https://doi.org/10.1117/12.618153

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