Gabor windows supported on [ − 1, 1] and dual windows with small support
نویسندگان
چکیده
منابع مشابه
Gabor windows supported on [ - 1, 1] and dual windows with small support
Consider a continuous function g ∈ L2(R) that is supported on [−1, 1] and generates a Gabor frame with translation parameter 1 and modulation parameter 0 < b < 2N 2N+1 for some N ∈ N. Under an extra condition on the zeroset of the window g we show that there exists a continuous dual window supported on [−N, N]. We also show that this result is optimal: indeed, if b > 2N 2N+1 then a dual window ...
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ژورنال
عنوان ژورنال: Advances in Computational Mathematics
سال: 2011
ISSN: 1019-7168,1572-9044
DOI: 10.1007/s10444-011-9189-0