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arXiv · 2607.16915

Gabor duals with minimal L1-norm

Rocío Díaz Martín·Mark Lammers·Brendan Miller·Alexander M. Powell
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Abstract

It is well-known that for a Gabor frame in L2, the canonical dual window is the dual window with the minimal L2-norm. In this paper, we address the problem of finding dual windows for a Gabor frame that minimizes the L1-norm. Since it has been shown that minimizing the L1-norm often coincides with minimizing the L0-norm, we also investigate the support of the dual Gabor window that achieves the minimal L1-norm.

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Rocío Díaz Martín, Mark Lammers, Brendan Miller, Alexander M. Powell. 2026-07-18. Gabor duals with minimal L1-norm. https://arxiv.org/abs/2607.16915

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