Title :
A linear model for TF distribution of signals
Author :
Nelson, Douglas J. ; Smith, David C.
Author_Institution :
U.S. Department of Defense, Ft. Meade, MD
Abstract :
We describe a new linear time-frequency model in which the instantaneous value of each signal component is mapped to the curve functionally representing its instantaneous frequency. This transform is linear, uniquely defined by the signal decomposition, and satisfies linear marginal-like distribution properties. We further demonstrate the transform generated surface may be estimated from the short time Fourier transform by a concentration process based on the phase of the short-time Fourier transform (STFT), differentiated with respect to time. Interference may be identified on the concentrated STFT surface, and the signal with the interference removed may be estimated by applying the linear-time-marginal to the concentrated STFT surface from which the interference components have been removed
Keywords :
Fourier transforms; interference (signal); signal processing; time-frequency analysis; concentration process; interference; linear time marginal; linear time-frequency model; linear transform; short time Fourier transform; signal decomposition; signal distribution; Bandwidth; Fourier transforms; Interference; Linearity; Nonlinear filters; Phase estimation; Signal processing; Signal resolution; Spectrogram; Time frequency analysis; Adaptive filter; energy distributions; interference removal; linear TF distributions; linearity; marginals; short-time Fourier transform (STFT); spectrogram;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2006.879303