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DFT的扩展及快速Prony算法
引用本文:王琳,杨福生.DFT的扩展及快速Prony算法[J].清华大学学报(自然科学版),1988(4).
作者姓名:王琳  杨福生
作者单位:电机工程系 (王琳),电机工程系 (杨福生)
摘    要:介绍了 Prony算法及其优缺点。对 DFT作了扩展,得到在单位圆内的各同心圆上 做Z变换的快速算法,并利用扩展的DFT提出了一种快速的Prony算法,改进了现有 Prony算法存在的计算速度慢、所占内存大、且涉及复矩阵运算的问题。从理论上作了 论证并用仿真信号和实际生物医学信号证实了方法的可行性和快速性。

关 键 词:Prony算法  DFT  Z变换  FPA

The Extension of DFT and Fast Prony's Algorithm
Wang Lin,Yang Fusheng.The Extension of DFT and Fast Prony''''s Algorithm[J].Journal of Tsinghua University(Science and Technology),1988(4).
Authors:Wang Lin  Yang Fusheng
Institution:Department of electrical
Abstract:A Prony's method is introduced in this paper for signals composed of damped or damped sinusoidal components. The advantages and disadvantages of this method are evaluated. Some improvements are made. First of all, DFT is extended and a fast algorithm for realizing the Z transform along concentric circles lying inside unit circle is achieved. Based on this extended DFT, a fast Prony's algorithm (FPA) is presented. The capabilities of fast speed, small storage, and simplifying algorithm are verified in theory and in application to some simulation signals and biomedical sig nals.
Keywords:Prony's method  DFT  Z transform  FPA  
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