Recovery of a Band-Limited Signal from Part of Time-Domain and Frequency-Domain Information

陈定国; 李衍达

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Recovery of a Band-Limited Signal from Part of Time-Domain and Frequency-Domain Information

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- Recovery of a Band-Limited Signal from Part of Time-Domain and Frequency-Domain Information
- Acta Electronica Sinica Issue 1, (1994)
- 作者机构：
  
  清华大学自动化系
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.7
- Published：1994
- 稿件说明：
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[1]陈定国,李衍达.利用带限信号的部分时域信息和频域信息恢复信号[J].电子学报,1994(01):95-100.

陈定国, 李衍达. Recovery of a Band-Limited Signal from Part of Time-Domain and Frequency-Domain Information[J]. Acta Electronica Sinica, 1994, (1).
[1]陈定国,李衍达.利用带限信号的部分时域信息和频域信息恢复信号[J].电子学报,1994(01):95-100. DOI：

陈定国, 李衍达. Recovery of a Band-Limited Signal from Part of Time-Domain and Frequency-Domain Information[J]. Acta Electronica Sinica, 1994, (1). DOI：

摘要

本文在介绍带限信号恢复问题及有关算法的基础上，从理论上详细讨论了另外一类的带限信号的恢复问题，即在只知道时域的部分值和频域的部分值而不知道频带的情况下，给出了相应的算法，并论证了算法的收敛性及算法收敛的唯一性，而且对外推的数值计算误差及外推的稳定性也作了说明。本文还给出了模拟例子以及数字仿真的结果。总之，本文提出的算法是行之有效的。

Abstract

After an introduction is given to the recovery question of band-limited signal and corresponding algorithm

another sort of recovery question of band-limited signal

which is under the condition: given part value of some signal on time-domaim and part value of its Fourier transform

is theoretically discussed in datail

and corresponding algorithm is given. Moreover the convergence of the algorithm is proved

and the uniqueness of the algorithm is studied.

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