Linear Distribution of Signals

摘要

We describe a new linear time-frequency paradigm in which the instantaneous value of each signal component is mapped to the curve functionally representing its instantaneous frequency. The transform by which this surface is generated is linear, uniquely defined by the signal decomposition and satisfies linear marginal-like distribution properties. We further demonstrate that such a surface may be estimated from the short time Fourier transform by a concentration process based on the phase of the 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.