Analysis of Signal Reconstruction With Jittered Sampling

Author

Masry, Elias

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of California, San Diego, CA, USA

Volume

59

Issue

1

fYear

2011

Firstpage

27

Lastpage

34

Abstract

We consider the linear estimation of square integrable signals from jittered noisy samples. We establish an expression for the integrated mean-square error for correlated jitter and noise processes. We also find the optimal weights of the linear filter. For the case of independent identically distributed (i.i.d.) noise and jitter processes, and a suboptimal filter, we derive the asymptotic distribution of the estimate of the signal. Numerical examples are presented.

Keywords

correlation methods; filtering theory; jitter; mean square error methods; signal denoising; signal reconstruction; signal sampling; statistical distributions; asymptotic distribution; correlated jitter; independent identically distributed noise; integrated mean-square error method; jittered sampling; linear estimation; linear filter; noise process; signal reconstruction; square integrable signal; suboptimal filter; Additive noise; Additives; Estimation; Jitter; Noise measurement; Random variables; Central limit theorem; integrated mean-square error; reconstruction of signals from jittered noisy samples;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2010.2078812

Filename

5580112