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• W2115925005 abstract "Summary form only given. The decomposition and representation of signals in the joint time-frequency domain are increasingly useful in communication and information theory, and in signal processing. Given a countable collection of functions in the joint time-frequency domain, we may find another countable collection of joint time-frequency functions, such that any signal can be represented in terms of the two collections of functions. The associated technique is usually called the discrete Gabor transform or short-time Fourier transform, and is valid for both continuous-time and discrete-time signals. One of the collections of functions is defined by a synthesis function, and the other collection is defined by an analysis function. We show that: (1) the collection of biorthogonal-like functions are complete and, hence, the generalized Gabor expansion is well-defined; (2) the technique for addressing the existence of the collection of biorthogonal-like functions is simple, hence, more applicable in practice; and (3) the computation of analysis and synthesis functions is simple and very efficient for both continuous-time and discrete-time signals. >" @default.
• W2115925005 created "2016-06-24" @default.
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• W2115925005 creator A5041300700 @default.
• W2115925005 date "2002-12-17" @default.
• W2115925005 modified "2023-09-26" @default.
• W2115925005 title "Some results on biorthogonal-like functions for generalized Gabor expansions" @default.
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• W2115925005 doi "https://doi.org/10.1109/isit.1994.394845" @default.
• W2115925005 hasPublicationYear "2002" @default.
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