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Spark Deficient Gabor Frames for Inverse Problems
- Publication Year :
- 2021
-
Abstract
- In this paper, we apply star-Digital Gabor Transform in analysis Compressed Sensing and speech denoising. Based on assumptions on the ambient dimension, we produce a window vector that generates a spark deficient Gabor frame with many linear dependencies among its elements. We conduct computational experiments on both synthetic and real-world signals, using as baseline three Gabor transforms generated by state-of-the-art window vectors and compare their performance to star-Gabor transform. Results show that the proposed star-Gabor transform outperforms all others in all signal cases.<br />Comment: 2021 Online International Conference on Computational Harmonic Analysis (Online-ICCHA2021)
- Subjects :
- Mathematics - Numerical Analysis
Computer Science - Information Retrieval
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2110.09296
- Document Type :
- Working Paper