A Frequency Estimator for a Real Single-tone Based on Modified Pisarenko Harmonic Decomposer and Lag-limited CorrelationExpansion  

作　　者：CAO Yan WEI Gang 

机构地区：[1]School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510640, China

出　　处：《Chinese Journal of Electronics》2012年第2期287-291,共5页电子学报（英文版）

基　　金：Manuscript Received Aug. 2010; Accepted Sept. 2011. This work is supported by the Guangdong Provincial Key Laboratory of Short-Range Wireless Detections and Communications, China, the National Natural Science Foundation of China and Guangdong Province （No.2010A060801002, No.U1035003, No.60901070, No.61171083） and the Fundamental Research Funds for the Central Universities （No.2011ZM0034）.

摘　　要：A frequency estimator for a real single-tone is proposed, in which coarse frequency estimation is firstly got by using Pisarenko harmonic decomposer （PHD） with correlation lags 1 and 2. As the correlation of noise concen- trates mainly on small lags, the frequency is re-estimated by PHD with correlation maximal lag k in the principal value interval of the arccosine function and with correla- tion lag 2k, which is determined by the coarse estimation, to decrease the influence of noise. The final frequency is obtained by adding to the re-estimated frequency a fine adjustment term, the closed-form of which is derived from Taylor＇s series expansion of lag-limited correlation. Sim- ulation experiments illustrate the performance improve- ment of the proposed estimator via comparison with sev- eral existing frequency estimators.

关 键 词：Frequency estimation Pisarenko har-monic decomposer （PHD） Lag-limlted correlation expan-sion Real single sinusoid. 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TN911.23[自动化与计算机技术—控制科学与工程]