Title :
Fast statistically efficient algorithms for single frequency estimation
Author :
Klein, Jeffrey D.
Author_Institution :
Mindspeed Inc., Newport Beach, CA, USA
Abstract :
In this article three new estimators of the frequency of a single complex sinusoid are presented. The "rotate-add-decimate" (RAD) method of Crozier is first modified to more closely approach the Cramer-Rao bound, with the same computation. A second estimator almost achieves the CRB above an SNR threshold approximately 1dB above that of RAD. It can be shown to achieve the CRB for high SNR using log2N arctangents and 2N MAC. A third method matches the SNR threshold of RAD and achieves the CRB at high SNR with log2N arctangents and 3N MAC.
Keywords :
frequency estimation; signal processing; statistical analysis; CRB; Cramer-Rao bound; SNR threshold; rotate-add-decimate method; single complex sinusoid; single frequency estimation; statistically efficient algorithms; Band pass filters; Communication systems; Context; Discrete Fourier transforms; Frequency estimation; Gaussian noise; Maximum likelihood estimation; Radar signal processing; Signal processing algorithms; Signal to noise ratio;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP '05). IEEE International Conference on
Print_ISBN :
0-7803-8874-7
DOI :
10.1109/ICASSP.2005.1416027