학술논문

Zero-tracking time-frequency distributions
Document Type
Conference
Source
1997 IEEE International Conference on Acoustics, Speech, and Signal Processing Acoustics, speech, and signal processing Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on. 3:2021-2024 vol.3 1997
Subject
Signal Processing and Analysis
Components, Circuits, Devices and Systems
Time frequency analysis
Polynomials
Autocorrelation
Frequency estimation
Adaptive filters
Kernel
Hidden Markov models
Fourier transforms
Newton method
Signal analysis
Language
ISSN
1520-6149
Abstract
The zero-tracking time-frequency distribution (TFD) is introduced. The local autocorrelation function of the TFD, defined by an appropriate kernel, is used to form a polynomial whose roots correspond to the instantaneous frequencies of the multicomponent signal. Two techniques for zero-tracking based on the TFD are presented. The first technique requires updating all of the polynomial signal and extraneous zeros, and is based on the formula relating to the first order approximation, the changes in the polynomial roots and coefficients. The second technique employs the zero-finding Newton's method to only obtain the zero-trajectories of interest.