2006/02/12 by Salti Samarah, Samarah, S., Sa’ud Al-Sa’di +1
Computer Science · Mathematics · #41A46 #Digital Filter Design and Implementation #FOS: Mathematics #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods
paper · pdf · doi:10.48550/arxiv.math/0602250
openalex publication_date 2006/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown that the modulation spaces Mpw can be characterized by the approximation behavior of their elements using Local Fourier bases. In analogy to the Local Fourier bases, we show that the modulation spaces can also be characterized by the approximation behavior of their elements using Gabor frames. We derive direct and inverse approximation theorems that describe the best approximation by linear combinations of N terms of a given function using its modulates and translates.