The Prony Fitting Method for Digital Deconvolution Problem

Sun Sheng-he Zheng Fu-chun

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The Prony Fitting Method for Digital Deconvolution Problem

更新时间：2025-12-08

- The Prony Fitting Method for Digital Deconvolution Problem
- Acta Electronica Sinica Issue 2, Pages: 28-34(1989)
- 作者机构：
  
  哈尔滨工业大学
- 作者简介：
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- DOI：
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- Published：1989
- 稿件说明：
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[1]孙圣和,郑福春.数字反卷积问题的Prony拟合法[J].电子学报,1989(02):28-34.

Sun Sheng-he Zheng Fu-chun. The Prony Fitting Method for Digital Deconvolution Problem[J]. Acta Electronica Sinica, 1989, (2): 28-34.
[1]孙圣和,郑福春.数字反卷积问题的Prony拟合法[J].电子学报,1989(02):28-34. DOI：

Sun Sheng-he Zheng Fu-chun. The Prony Fitting Method for Digital Deconvolution Problem[J]. Acta Electronica Sinica, 1989, (2): 28-34. DOI：

摘要

本文将应用Prony拟合理论解决反卷积问题

并重点研究在反卷积过程中易产生不稳定解的两种情况:①已知核的频带较未知核的窄;②有噪声存在。指出了Prony拟合法在这种情况下的有效性。作为成功的例证

文中给出了应用这一算法的计算机模拟结果。

Abstract

The Prony fitting theory is applied in this paper to solve the deconvolution problem. There are two cases in deconvolution in which unstable solution is easy to appear. They are: （1）the frequency band of known kernel is more narraw than that of the unknown kernel; （2） there exists noise. These two cases are studied thoroughly and the effectiveness of Prony fitting method is showed. Finally

this method is simulated in computer. The simulation results are compared with those obtained by using FFT method directly

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