Frequency Estimator by LS Approximation of Narrow-Band Spectrum

Cui YANG  Gang WEI  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E93-A   No.8   pp.1553-1555
Publication Date: 2010/08/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E93.A.1553
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Digital Signal Processing
frequency estimation,  least square approximation,  narrow-band,  

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Based on the least square (LS) approximation of sinusoidal signal in frequency domain by sample data, a frequency estimator is derived. Since sinusoidal signals are narrow-banded whereas white noise spreads equally in the whole spectrum, only narrow-band approximation around the actual tone is needed, and thus the influence of noise can be decreased significantly with high computational efficiency. Experimental results show that, without any iterations, the performance of the proposed estimator is close to the Cramer-Rao Bound (CRB), and has a lower SNR threshold compared with other existing estimators.