The discrete-time phase derivative as a definition of discreteinstantaneous frequency and its relation to discrete time-frequencydistributions

  • Authors:

  • Jechang Jeong;G.S. Cunningham;W.J. Williams

  • Affiliations:

  • Adv. TV Lab., Samsung Electron. Co., Suwon;-;-

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1995

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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