Answers are grounded in this paper and cite their sources.
The paper explores discrete periodic gabor analysis in half real line using a new addition, suggesting novel frameworks.
The discrete Gabor analysis behaves excellently in digital signal processing. Now that defined on the real line ℝ has seen great achievements, but that defined on half real line ℝ + has not. Due to ℝ + being not a group under usual “+”, the discrete Gabor analysis on ℝ + differs from that defined on ℝ. Due to R+ being a addition group under a new addition “⊕”, this paper addresses discrete periodic Gabor analysis on ℝ + associated with such addition. Using “⊕”-based discrete Zak transform, we characterize a class of discrete periodic Gabor frames (Riesz bases, orthonormal bases) on ℝ + and their weak Gabor duals. Several examples are also provided to illustrate our results.
No takes yet. Share an insight, caveat, or question.
Zhang et al. (2026) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: