Compressive sampling with chaotic dynamical systems

Author

Kafedziski, Venceslav ; Stojanovski, Toni

Author_Institution

Fac. of Electr. Eng. & Inf. Technol., Univ. Ss Cyril & Methodius, Skopje, Macedonia

fYear

2011

fDate

22-24 Nov. 2011

Firstpage

695

Lastpage

698

Abstract

We investigate the possibility of using different chaotic sequences to construct measurement matrices in compressive sampling. In particular, we consider sequences generated by Chua, Lorenz and Rössler dynamical systems and investigate the accuracy of reconstruction when using each of them to construct measurement matrices. Chua and Lorenz sequences appear to be suitable to construct measurement matrices. We compare the recovery rate of the original sequence with that obtained by using Gaussian, Bernoulli and uniformly distributed random measurement matrices. We also investigate the impact of correlation on the recovery rate. It appears that correlation does not influence the probability of exact reconstruction significantly.

Keywords

Gaussian processes; matrix algebra; probability; signal reconstruction; signal sampling; Bernoulli measurement matrix; Chua dynamical system; Gaussian measurement matrix; Lorenz dynamical system; Rossler dynamical system; chaotic dynamical system; chaotic sequence; compressive sampling; probability; uniformly distributed random measurement matrix; Chaos; Compressed sensing; Correlation; Logistics; Probability density function; Sparse matrices; Vectors; Chaos; Compressive sampling; Correlation;

fLanguage

English

Publisher

ieee

Conference_Titel

Telecommunications Forum (TELFOR), 2011 19th

Conference_Location

Belgrade

Print_ISBN

978-1-4577-1499-3

Type

conf

DOI

10.1109/TELFOR.2011.6143641

Filename

6143641