Paper Info
Title
A Fast Iterative Method for Removing Sparse Noise from Sparse Signals.
Abstract
In this paper, we propose a new method to reconstruct a signal corrupted by noise where both signal and noise are sparse but in different domains. The problem investigated in this paper arises in different applications such as impulsive noise removal from images, audios and videos, decomposition of low-rank and sparse components of matrices, and separation of texts from images. First, we provide a cost function for our problem and then present an iterative method to find its local minimum. The analysis of the algorithm is also provided. As an application of this problem, we apply our algorithm for impulsive noise Salt-and-Pepper noise (SPN) and Random-Valued Impulsive Noise (RVIN)) removal from images and compare our results with other notable algorithms in the literature. Furthermore, we apply our algorithm for removing clicks from audio signals. Simulation results show that our algorithms is simple and fast, and it outperforms other state-of-the-art methods in terms of reconstruction quality and/or complexity.
Year
Venue
Field
2019
arXiv: Signal Processing
Audio signal,Matrix (mathematics),Iterative method,Computer science,Algorithm,Noise removal
DocType
Volume
Citations 
Journal
abs/1902.03988
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Sahar Sadrizadeh100.68
Ehsan Asadi200.34
Farokh Marvasti357372.71