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• W1536124355 abstract "This work discusses the time-frequency content of frames, especially of Weyl-Heisenberg frames. We begin by showing that the sum of the time-frequency contents of all the functions in a set being always positive is a sufficient condition for this set of functions to generate a frame. It is then derived that for Weyl-Heisenberg frames {E/sub mb/T/sub na/g(t)}/sub n,m//spl epsiv/z of an even function g(t) the maxima are placed at (na, mb) in the time-frequency domain and the minima at (na+a/2, mb+b/2); whereas for an odd function g(t) the maxima are placed at (na, mb+b/2) and the minima at (na+a/2, mb). This indicates effective ways to, for a given increase in the cardinality of the frame, obtain tighter frame bounds." @default.
• W1536124355 created "2016-06-24" @default.
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• W1536124355 date "2005-07-27" @default.
• W1536124355 modified "2023-09-23" @default.
• W1536124355 title "On the Time-Frequency Content of Weyl-Heisenberg Frames Generated from Odd and Even Functions" @default.
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• W1536124355 doi "https://doi.org/10.1109/iscas.2005.1465086" @default.
• W1536124355 hasPublicationYear "2005" @default.
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