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• W2116741198 abstract "Let g be a continuous, compactly supported function on such that the integer translates of g constitute a partition of unity. We show that the Gabor system (g,a,b), with window g and time-shift and frequency-shift parameters a,b>0 has no lower frame bound larger than 0 if b=2,3,... and a>0. In particular, (g,a,b) is not a Gabor frame if g is a continuous, compactly supported wavelet scaling function and if b=2,3,... and a>0. We give an example for our result for the case that g=B/sub 1/, the triangle function supported by [-1,1], by showing pictures of the canonical dual corresponding to (g,a,b) where ab=1/4 and b crosses the lines N=2,3,." @default.
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• W2116741198 date "2003-12-01" @default.
• W2116741198 modified "2023-10-01" @default.
• W2116741198 title "Note on B-splines, wavelet scaling functions, and gabor frames" @default.
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• W2116741198 doi "https://doi.org/10.1109/tit.2003.820022" @default.
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