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10 items by relevance
1 Journal article

Gabor windows supported on [-1,1] and compactly supported dual windows

Christensen, Ole; Kim, H. O.; Rae Young, Kim

Applied and Computational Harmonic Analysis — 2010, Volume 28, Issue 1, pp. 89-103

Consider a bounded function g supported on [-1, 1] and a modulation parameter b is an element of inverted left perpendicular1/2, 1inverted right perpendicular for which the Gabor system {E(mb)T(n)g}(m,n is an element of Z) is a frame. We show that such a frame always has a compactly supported dual window. More precisely, we show that if b

Year: 2010

Language: English

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2 Report

Gabor windows supported on [-1,1] and compactly supported dual windows

Christensen, Ole; Rae Young, Kim; Kim, Hong Oh

Year: 2009

Language: English

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3 Journal article

Gabor windows supported on [ − 1, 1] and dual windows with small support

Christensen, Ole; Kim, Hong Oh; Kim, Rae Young

Advances in Computational Mathematics — 2012, Volume 36, Issue 4, pp. 525-545

Consider a continuous function g ∈ L 2(ℝ) that is supported on [ − 1, 1] and generates a Gabor frame with translation parameter 1 and modulation parameter 0 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

Year: 2012

Language: English

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