ON RESTORING BAND-LIMITED SIGNALS

被引：0

作者：

PAWLAK, M ^{[1
]}

RAFAJLOWICZ, E ^{[1
]}

机构：

[1] WROCLAW TECH UNIV,INST ENGN CYBERNET,PL-50370 WROCLAW,POLAND

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1994年 / 40卷 / 05期

关键词：

BAND-LIMITED FUNCTIONS; CARDINAL EXPANSION; ORTHOGONAL SERIES; NOISY DATA; RECONSTRUCTION; CONVERGENCE; NONPARAMETRIC REGRESSION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of reconstruction of band-limited signals from discrete and noisy data is studied. The reconstruction schemes employing cardinal expansions are proposed and their asymptotical properties are examined. In particular, the conditions for the convergence of the mean integrated squared error are found and the rate of convergence is evaluated. The main difference between the proposed reconstruction scheme and the classical one is in treating the sampling rate and the reconstruction rate differently. This distinction is necessary to ensure consistency of the reconstruction scheme in the presence of noise.

引用

页码：1490 / 1503

页数：14

共 23 条

[1] Bary N. K, 1964, TREATISE TRIGONOMETR, VII
[2] Bary N.K., 1964, TREATISE TRIGONOMETR, VI
[3] Boas R.P., 1954, ENTIRE FUNCTIONS
[4] Bracewell RN., 1986, FOURIER TRANSFORM IT
[5] MAGNITUDE OF THE TRUNCATION ERROR IN SAMPLING EXPANSIONS OF BAND-LIMITED SIGNALS
BUTZER, PL
ENGELS, W
SCHEBEN, U
[J]. IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1982, 30 (06): : 906 - 912
[6] SAMPLING THEORY FOR NOT NECESSARILY BAND-LIMITED FUNCTIONS - A HISTORICAL OVERVIEW
BUTZER, PL
STENS, RL
[J]. SIAM REVIEW, 1992, 34 (01) : 40 - 53
[7] FINITE SAMPLING APPROXIMATIONS FOR NON-BAND-LIMITED SIGNALS
CAMBANIS, S
HABIB, MK
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1982, 28 (01) : 67 - 73
[8] TRUNCATION ERROR-BOUNDS FOR THE CARDINAL SAMPLING EXPANSION OF BAND-LIMITED SIGNALS
CAMBANIS, S
MASRY, E
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1982, 28 (04) : 605 - 612
[9] A NOTE ON THE USEFULNESS OF SUPERKERNELS IN DENSITY-ESTIMATION
DEVROYE, L
[J]. ANNALS OF STATISTICS, 1992, 20 (04) : 2037 - 2056
[10] Eubank R.L., 1988, SPLINE SMOOTHING NON

← 1 2 3 →