A linear model for the distribution of signals in time and frequency with a historical perspective of conventional time--frequency distributions

Authors:
Douglas J. Nelson;David C. Smith
Affiliations:
U.S. Department of Defense, Ft. Meade, MD 20755-6514, USA;U.S. Department of Defense, Ft. Meade, MD 20755-6514, USA
Venue:
Digital Signal Processing
Year:
2008

Citing 7
Cited 0

Discrete-time signal processing

Discrete-time signal processing
Time-frequency analysis: theory and applications

Time-frequency analysis: theory and applications
Semi-Supervised Clustering of Corner-Oriented Attributed Graphs

HIS '06 Proceedings of the Sixth International Conference on Hybrid Intelligent Systems
Improving the readability of time-frequency and time-scalerepresentations by the reassignment method

IEEE Transactions on Signal Processing
Signal enhancement by time-frequency peak filtering

IEEE Transactions on Signal Processing
Construction of positive time-frequency distributions

IEEE Transactions on Signal Processing
A linear model for TF distribution of signals

IEEE Transactions on Signal Processing

Quantified Score

Hi-index	0.00

Visualization

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 that the transform generated surface may be estimated from the short time Fourier transform (STFT) 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.