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The discrete-time phase derivative as a definition of discrete instantaneous frequency and its relation to discrete time-frequency distributions

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3 Author(s)
Jechang Jeong ; Adv. TV Lab., Samsung Electron. Co., Suwon, South Korea ; Cunningham, G.S. ; Williams, W.J.

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

Published in:

Signal Processing, IEEE Transactions on  (Volume:43 ,  Issue: 1 )