An Iterative Frequency Estimation Algorithm Using Generalized Fourier Interpolation  

作　　者：LIU Yanhui NIE Zaiping ZHAO Zhiqin 

机构地区：[1]School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China [2]Department of Electrical and Computer Engineering, Duke University, Durham, NC 27705, USA

出　　处：《Chinese Journal of Electronics》2009年第3期564-568,共5页电子学报（英文版）

摘　　要：Motivated by the iterative estimation approach based on Fourier interpolation in a recent literature, this paper proposes a generalized interpolation on Fourier coefficients and an iterative frequency estimation algorithm based on the generalized interpolation. Both theoretical analysis and simulation tests show that the iterative generalized Fourier interpolation algorithm converges in two iterations with the estimation variance only marginally above the Asymptotical Cramer-Rao bound （ACRB） over the entire frequency estimation range. Moreover, the proposed algorithm allows setting different values for its initial parameter. An approach on how to choose the initial parameter is also presented. By using a suggested initial value, the proposed algorithm is much more efficient than the original algorithm in the literature while maintains totally the same estimation accuracy.

关 键 词：Frequency estimation Generalized Fourier interpolation Fast Fourier transform （FFT） Discrete Fourier transform （DFT）. 

分 类 号：O174.2[理学—数学] TP301.6[理学—基础数学]