Evolutionary Time - Frequency Analysis Using aMulti - resolution
نویسنده
چکیده
| In this paper, we present a connection between the discrete Gabor expansion and the evolutionary spectral theory. Including a scale parameter in the expansion, we develop a multi-resolution Gabor representation which can be related to the Wold-Cramer decomposition of non-stationary signals. The evolutionary spectrum is then easily calculated from the Gabor coeecients. Thus, both the signal representation and its corresponding evolutionary spectrum are obtained simultaneously. We compare our method with the Evolutionary Periodogram (EP) spectral estimate in 4]. An example illustrating the comparison with the EP is given.
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