Title :
Analysis of Signal Reconstruction With Jittered Sampling
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of California, San Diego, CA, USA
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;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2010.2078812
