Title :
A Noniterative Frequency Estimator With Rational Combination of Three Spectrum Lines
Author :
Yang, Cui ; Wei, Gang
Author_Institution :
Sch. of Electron. & Inf. Eng., South China Univ. of Technol., Guangzhou, China
Abstract :
A noniterative frequency estimator is proposed in this paper. The maximum bin of fast Fourier transform (FFT) is searched as a coarse estimation, then the rational combination of three spectrum lines (RCTSL) is used as the fine estimation. Based on least square approximation in frequency domain, the combinational weights of RCTSL are found to be constants depending only on data length, therefore the RCTSL is very computational efficient. Theoretical bound is also obtained, which shows the performance of RCTSL approaches the Cramér-Rao Bound (CRB). Simulation results demonstrate that RCTSL has a lower signal-to-noise ratio (SNR) threshold compared with other known estimators.
Keywords :
AWGN; fast Fourier transforms; frequency estimation; frequency-domain analysis; least squares approximations; signal processing; Cramér-Rao bound; additive complex white Gaussian noise; combinational weights; fast Fourier transform; frequency domain; least square approximation; noniterative frequency estimator; rational combination; signal-to-noise ratio threshold; tree spectrum lines; Discrete Fourier transforms; Estimation; Frequency estimation; Least squares approximation; Signal to noise ratio; Simulation; Fourier transforms; frequency estimation; least square approximation;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2011.2160257
