江西师范大学学报(自然科学版)
江西師範大學學報(自然科學版)
강서사범대학학보(자연과학판)
JOURNAL OF JIANGXI NORMAL UNIVERSITY(NATURAL SCIENCES EDITION)
2014年
6期
605-609
,共5页
频率估计%自相关%实时%克拉美劳界
頻率估計%自相關%實時%剋拉美勞界
빈솔고계%자상관%실시%극랍미로계
frequency estimation%autocorrelation%real-time%Cramer-Rao bound
针对Fitz频率估计算法频率估计方差在高信噪比情况下仍与克拉美劳下限存在着较大差距问题,提出了一种改进的Fitz频率估计算法。首先定义一种广义Kay窗函数加权的修正自相关函数,然后计算修正自相关函数相位的加权和,最终得到复正弦信号的频率估计值。仿真实验结果表明:当数据长度N=24,信噪比sNr =20 dB时,改进算法的频率估计方差降低了约2 dB,且改进算法的计算复杂度与Fitz算法相当。因此,改进算法在满足实时性要求的同时,取得了更高的频率估计精度。
針對Fitz頻率估計算法頻率估計方差在高信譟比情況下仍與剋拉美勞下限存在著較大差距問題,提齣瞭一種改進的Fitz頻率估計算法。首先定義一種廣義Kay窗函數加權的脩正自相關函數,然後計算脩正自相關函數相位的加權和,最終得到複正絃信號的頻率估計值。倣真實驗結果錶明:噹數據長度N=24,信譟比sNr =20 dB時,改進算法的頻率估計方差降低瞭約2 dB,且改進算法的計算複雜度與Fitz算法相噹。因此,改進算法在滿足實時性要求的同時,取得瞭更高的頻率估計精度。
침대Fitz빈솔고계산법빈솔고계방차재고신조비정황하잉여극랍미로하한존재착교대차거문제,제출료일충개진적Fitz빈솔고계산법。수선정의일충엄의Kay창함수가권적수정자상관함수,연후계산수정자상관함수상위적가권화,최종득도복정현신호적빈솔고계치。방진실험결과표명:당수거장도N=24,신조비sNr =20 dB시,개진산법적빈솔고계방차강저료약2 dB,차개진산법적계산복잡도여Fitz산법상당。인차,개진산법재만족실시성요구적동시,취득료경고적빈솔고계정도。
Fitz frequency estimation algorithm frequency estimation variance in the high SNR is higher and there is a big gap between the CRB. An improved Fitz frequency estimation algorithm,which first defines the modified autocor-relation function weighted by generalized Kay window has been proposed,and then calculates the sum of the weigh-ted phases of the modified autocorrelation function,finally gets the frequency estimation of the complex sinusoidal signal in AWGN. Computer simulation and analysis shows that:the frequency estimation variance of improved algo-rithm decreases about 2 dB when the data length is 24 and the signal to noise ratio is 20 dB,while the calculated a-mount of improved algorithm and original algorithm is about the same. In the other words,the proposed algorithm to meet the real-time requirement,achieves a higher frequency estimation precision.