A Fast Convergence Algorithm for Band-Limited Extrapolation by Sampling

被引：7
|
作者：
Chen, Weidong [1 ]
机构：
[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2009年 / 57卷 / 01期
关键词：
Band-limited signal; extrapolation; sampling; PAPOULIS-GERCHBERG ALGORITHM; INTERPOLATION; REGULARIZATION; SIGNALS;
D O I：
10.1109/TSP.2008.2006582
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, an algorithm for band-limited extrapolation is presented. This uses Shannon's sampling theorem and Fourier series. Error analysis is given by proof. The convergence rate is much faster than that of the Papoulis-Gerchberg algorithm. The procedure of the fast convergence algorithm is described in detail. The result is demonstrated by numerical examples.
引用
收藏
页码：161 / 167
页数：7
相关论文
共 50 条
  • [21] AN EXTRAPOLATION PROCEDURE FOR BAND-LIMITED SIGNALS - COMMENT
    SABRI, MS
    STEENAART, W
    IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1980, 28 (02): : 254 - 254
  • [22] DISCRETE AND CONTINUOUS BAND-LIMITED SIGNAL EXTRAPOLATION
    SANZ, JLC
    HUANG, TS
    IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1983, 31 (05): : 1276 - 1285
  • [23] MEASUREMENT ACCURACIES IN BAND-LIMITED EXTRAPOLATION.
    Kritikos, H.N.
    1600, (319):
  • [24] AN ITERATIVE METHOD FOR THE EXTRAPOLATION OF BAND-LIMITED FUNCTIONS
    LENT, A
    TUY, H
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 83 (02) : 554 - 565
  • [25] ON THE EXTRAPOLATION OF BAND-LIMITED FUNCTIONS WITH ENERGY CONSTRAINTS
    XU, WY
    CHAMZAS, C
    IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1983, 31 (05): : 1222 - 1234
  • [26] OBSERVATIONS ON THE EXTRAPOLATION OF A BAND-LIMITED SIGNAL PROBLEM
    CADZOW, JA
    IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1981, 29 (06): : 1208 - 1209
  • [27] Accelerated iterative band-limited extrapolation algorithms
    Salomon, BG
    Ur, H
    IEEE SIGNAL PROCESSING LETTERS, 2004, 11 (11) : 871 - 874
  • [28] BAND-LIMITED FUNCTIONS AND SAMPLING THEOREM
    ZAKAI, M
    INFORMATION AND CONTROL, 1965, 8 (02): : 143 - &
  • [29] METHODS OF SAMPLING BAND-LIMITED FUNCTIONS
    BERKOWITZ, RS
    PROCEEDINGS OF THE INSTITUTE OF RADIO ENGINEERS, 1956, 44 (02): : 231 - 235
  • [30] BAND-LIMITED SIGNALS AND SAMPLING THEOREM
    SUGIYAMA, H
    ELECTRONICS & COMMUNICATIONS IN JAPAN, 1966, 49 (09): : 100 - &
12345