(Download) "Guest Editor's Comments on Special Issue on Nonuniform Sampling" by Sampling Theory in Signal and Image Processing # Book PDF Kindle ePub Free

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eBook details

Title: Guest Editor's Comments on Special Issue on Nonuniform Sampling
Author : Sampling Theory in Signal and Image Processing
Release Date : January 01, 2008
Genre: Computers,Books,Computers & Internet,Professional & Technical,Engineering,
Pages : * pages
Size : 60 KB

Description

It is a great pleasure for me to act as a guest editor for our journal on my favourite topic, Nonuniform Sampling. Although there are several excellent journal review papers on sampling theory [3, 9, 19], there are no specific review papers on nonuniform sampling. However, there are several books and book chapters on this topic [11, 12, 13, 14]. Recently, the concept of nonuniform sampling has found applications in compressed sensing [2], real field error correcting codes [16], impulsive noise cancellation [21, 22], sparse blind source separation [1], rate of innovation [20], and missing sampling problems for sparse signals [8] (1). When Prof. Jerri, my dear friend, asked me to act as a guest editor for a special issue two years ago, I gladly accepted. The result of open call and personal soliciting are the following six papers on this issue. The papers are organized in an increasing order of randomness. The first paper by Amini and Marvasti deals with periodic nonuniform sampling for multi-band (including low-pass and band-pass) signals. In this paper we show that, depending on the positions on periodic nonuniform samples, the generated matrix may or may not be invertible. In any case, iterative methods converge to the pseudo-inverse. In case the matrix has a poor condition number, a finite number of iterations approximates the pseudo-inverse.

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