# Designing Gabor windows using convex optimization

arXiv: https://arxiv.org/abs/1401.6033 · HTML: https://mlsanity.com/paper/1401.6033/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Jan 2014.

## Built on by (most cited first, 1 of 1)

- [ISAC: An Invertible and Stable Auditory Filter Bank with Customizable Kernels for ML Integration](https://mlsanity.com/paper/2505.07709/) (2025)

## Abstract (arXiv)

Redundant Gabor frames admit an infinite number of dual frames, yet only the canonical dual Gabor system, constructed from the minimal l2-norm dual window, is widely used. This window function however, might lack desirable properties, e.g. good time-frequency concentration, small support or smoothness. We employ convex optimization methods to design dual windows satisfying the Wexler-Raz equations and optimizing various constraints. Numerical experiments suggest that alternate dual windows with considerably improved features can be found.