A New High-Resolution Frequency Estimator Based on Pole-Placement AR Model

Huadong MENG  Xiqin WANG  Hao ZHANG  Yingning PENG  

Publication
IEICE TRANSACTIONS on Communications   Vol.E86-B   No.8   pp.2503-2507
Publication Date: 2003/08/01
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Fundamental Theories
Keyword: 
frequency estimation,  pole placement,  high resolution,  least square algorithm,  

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Summary: 
The high-resolution frequency estimators most commonly used, such as Least Square (LS) method based on AR model, MVSE, MUSIC and ESPRIT, determine estimates of the sinusoidal frequencies from the sample noise-corrupted data. In this paper, a new frequency estimation method named Pole-Placement Least Square (PPLS) is presented, which is a modified LS method with a certain number of model poles restricted to the unit circle. The statistical performance of PPLS is studied numerically, and compared with the Cramer-Rao bound as well as the statistical performance corresponding to the LS methods. PPLS is shown to have higher resolution than the conventional LS method. The relationship between poles location and its resolution is also discussed in detail.