Title :
An Accurate Frequency Estimator of Single Sinusoid in Gaussian Colored Noise
Author :
Liu, Shuangping ; Xu, Wang ; Wang, Zhigang
Author_Institution :
Inf. Eng. Univ., Zhengzhou
fDate :
Aug. 30 2006-Sept. 1 2006
Abstract :
It is difficult to estimate the frequency of a single sinusoid in additive Gaussian colored noise. This paper firstly heterodynes the signal to band nearby zero by a coarsely estimated frequency got from nonlinear filtered psd (power spectrum density) of signal, and then gets more accurate frequency estimation by applying least square algorithm to differenced phase of signal after depressing noise by low-pass filtering and data decimating. The Monte Carlo simulation indicates that the new algorithm can work very well on condition that the psd fluctuation of colored noise nearby sinusoid is slight and the data decimation factor is large. Because the mean-squared error of new algorithm already reaches the CRB for white noise with only 0.5 dB deterioration above threshold, it is unnecessary to Karhunen-Loeve expand or whitening filter the signal when the frequency estimation of sinusoid in Gaussian colored noise is concerned
Keywords :
AWGN; Monte Carlo methods; frequency estimation; least mean squares methods; low-pass filters; signal denoising; Monte Carlo simulation; additive Gaussian colored noise; data decimating; least square algorithm; low-pass filtering; mean-squared error; power spectrum density; single sinusoid frequency estimation; Additive noise; Colored noise; Filtering algorithms; Fluctuations; Frequency estimation; Least squares approximation; Low pass filters; Phase estimation; Phase noise; Power filters;
Conference_Titel :
Innovative Computing, Information and Control, 2006. ICICIC '06. First International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7695-2616-0
DOI :
10.1109/ICICIC.2006.227
