Adaptive windowed Fourier transform
Signal Processing
Signal-to-noise ratio estimation using higher-order moments
Signal Processing
Local instantaneous frequency estimation of multi-component signals
Computers and Electrical Engineering
Time-frequency analysis and its application in digital watermarking
EURASIP Journal on Advances in Signal Processing - Special issue on time-frequency analysis and its applications to multimedia signals
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We build on Cohen's work (Cohen and Lee 1988, 1989; Cohen 1990, 1995) on instantaneous bandwidth and frequency by extending it to a multiwindow framework for polynomial phase signals. Unlike the case with a single spectrogram, which Cohen considered, our multiwindow framework allows one to obtain a time-varying spectral estimate that simultaneously satisfies instantaneous bandwidth and frequency constraints. We then develop a method utilizing this new multiwindow time-varying spectral technique for estimating the instantaneous frequency of a signal. The method is computationally simple, asymptotically unbiased for noise-free signals, and provides a signal-to-noise ratio (SNR) improvement of more than 3 dB over other estimators, including the cross-polynomial Wigner distribution method, for quadratic and cubic FM signals