Title :
The discrete-time phase derivative as a definition of discrete instantaneous frequency and its relation to discrete time-frequency distributions
Author :
Jeong, Jechang ; Cunningham, Gregory S. ; Williams, William J.
Author_Institution :
Adv. TV Lab., Samsung Electron. Co., Suwon, South Korea
fDate :
1/1/1995 12:00:00 AM
Abstract :
We compare two definitions of the instantaneous frequency of a discrete signal: the two-point symmetric phase difference and the discrete-time phase derivative. The phase derivative definition avoids the pitfalls associated with the two-point definition and is equal to the first moment w.r.t. frequency of a properly defined, alias-free time-frequency distribution of the signal, which is consistent with the continuous-time case
Keywords :
signal sampling; statistical analysis; time-frequency analysis; Nyquist sampled signal; continuous-time signal; discrete instantaneous frequency; discrete signal; discrete time-frequency distributions; discrete-time phase derivative; first moment; time frequency signal analysis; two-point symmetric phase difference; Autocorrelation; Filtering; HDTV; Hydrodynamics; Kernel; Laboratories; Low pass filters; Signal analysis; Signal generators; Time frequency analysis;
Journal_Title :
Signal Processing, IEEE Transactions on
