Asymptotic performance analysis of compressed sensing reconstruction algorithm

The theory and applications on Compressed Sensing is a promising, quickly developing area which garnered a great amount of interest in the field of engineering, mathematics, analytics and info-communication. CS introduces a skeleton/template which allows for the concurrently execution of recovering...

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Bibliographic Details
Main Author: Ong, Yan Lin
Other Authors: Anamitra Makur
Format: Final Year Project
Language:English
Published: 2019
Subjects:
Online Access:http://hdl.handle.net/10356/78370
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Institution: Nanyang Technological University
Language: English
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Summary:The theory and applications on Compressed Sensing is a promising, quickly developing area which garnered a great amount of interest in the field of engineering, mathematics, analytics and info-communication. CS introduces a skeleton/template which allows for the concurrently execution of recovering and compressing of vectors in a bounded dimension. It deals with the recovery of sparse high-dimensional input signals with a considerably small amount of sample measurements through the execution of some efficient algorithms. Quite a few algorithms have been developed for the purpose of signal reconstruction from compressed measurements, and especially enticing amongst them is greedy pursuit algorithm: Orthogonal Matching Pursuit (OMP). This paper investigates how the performance of OMP changes when the various parameter such as linear dimension n, number of measurements m and sparsity are increased.