Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  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. >
['Jechang Jeong', 'Gregory S. Cunningham', 'William J. Williams']
I am writing a research paper on a idea The discrete-time phase derivative as a definition of discrete instantaneous frequency and its relation to discrete time-frequency distributions
[{"from": "human", "value": "I am writing a research paper on a idea The discrete-time phase derivative as a definition of discrete instantaneous frequency and its relation to discrete time-frequency distributions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  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. >"}]