THE STABILITY OF A PROCEDURE FOR THE RECOVERY OF LOST SAMPLES IN BAND-LIMITED SIGNALS

被引：35

作者：

FERREIRA, PJSG

机构：

[1] Dep. de Electrónica e Telecommunicações, INESC, Universidade de Aveiro

来源：

SIGNAL PROCESSING | 1994年 / 40卷 / 2-3期

关键词：

SAMPLING; LOST SAMPLES; INTERPOLATION; EIGENVALUES; STABILITY; ILL-POSED PROBLEMS; BAND-LIMITED SIGNALS;

D O I：

10.1016/0165-1684(94)90067-1

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper we study the eigenvalues of a matrix S which arises in the recovery of lost samples from oversampled band-limited signals. Emphasis is placed on the variation of the eigenvalues as a function of the distribution of the missing samples and as a function of the oversampling parameter. We present a number of results which help to understand the numerical difficulties that may occur in this class of problems, and ways to circumvent them.

引用

页码：195 / 205

页数：11

共 11 条

[1] Delsarte, Janssen, Vries, Discrete prolate spheroidal wave functions and interpolation, SIAM J. Appl. Math., 45, 4, pp. 641-650, (1985)
[2] Ferreira, Incomplete sampling series and the recovery of missing samples from oversampled band-limited signals, IEEE Trans. Signal Process, 40, 1, pp. 225-227, (1992)
[3] Ferreira, Noniterative and faster iterative methods for interpolation and extrapolation, IEEE Trans. Signal Process., 42, 11, (1994)
[4] Hardy, Wright, An Introduction to the Theory of Numbers, (1954)
[5] Horn, Johnson, Matrix Analysis, (1990)
[6] Jerri, The Shannon sampling theorem — its various extensions and applications: a tutorial review, Proc. IEEE, 65, pp. 1565-1596, (1977)
[7] Marks, Restoring lost samples from an oversampled band-limited signal, IEEE Trans. Acoust. Speech Signal Process, 31, 3, pp. 752-755, (1983)
[8] Marks, Introduction to Shannon Sampling and Interpolation Theory, (1991)
[9] Slepian, Prolate spheroidal wave functions, Fourier analysis and uncertainty — V: The discrete case, Bell System Tech. J., 57, 5, pp. 1371-1429, (1978)
[10] Varga, Matrix Iterative Analysis, (1962)

← 1 2 →