Analysis of parameter estimation using the sampling-type algorithm of discrete fractional Fourier transform  

作　　者：Bing DENG Jun-bao LUAN Shi-qi CUI 

机构地区：[1]Department of Electronic and Information Engineering, Naval Aeronautical and Astronautical University

出　　处：《Defence Technology（防务技术）》2014年第4期321-327,共7页Defence Technology

基　　金：the National Natural Science Foundation of China (60902054);China Postdoctora Science Foundation (201003758, 20090460114); "Taishan Scholars" Special Foundation of Shandong Province for the support

摘　　要：Parameter estimation is analyzed using two kinds of common sampling-type DFRFT(discrete fractional Fourier transform) algorithm. A model of parameter estimation is established. The factors which influence estimation accuracy are analyzed. And the simulation is made to verify the conclusions. From the theoretic analysis and simulation verification, it can be drawn that, for the estimation of chirp-rate and initial frequency, Pei's method [10] is more suitable if the absolute value of chirp-rate is small relatively; Ozaktas' method [9] is more suitable if the absolute value of chirp-rate is large relatively; and the two methods are both workable if the absolute value of chirp-rate is moderate. The scope of moderate chirp-rate can be approximately determined as [40 Hz/s, 110 Hz/s].Parameter estimation is analyzed using two kinds of common sampling-type DFRFT （discrete fractional Fourier transform） algorithm. Amodel of parameter estimation is established. The factors which influence estimation accuracy are analyzed. And the simulation is made to verifythe conclusions. From the theoretic analysis and simulation verification, it can be drawn that, for the estimation of chirp-rate and initial frequency,Pei＇s method [10] is more suitable if the absolute value of chirp-rate is small relatively; Ozaktas＇ method [9] is more suitable if theabsolute value of chirp-rate is large relatively; and the two methods are both workable if the absolute value of chirp-rate is moderate. The scopeof moderate chirp-rate can be approximately determined as [40 Hz/s, 110 Hz/s].Copyright . 2014, China Ordnance Society. Production and hosting by Elsevier B.V. All rights reserved.

关 键 词：参数估计 分数傅里叶变换 算法 分数傅立叶变换 采样 中国兵工学会 估计精度 模拟验证 

分 类 号：O212.1[理学—概率论与数理统计] O438[理学—数学]