Resolution of a 2π ambiguity problem in multiple frequencyspectral estimation |
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Authors: | McCormick W.S. Miller D.E. Tsui J.B.Y. |
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Affiliation: | Dept. of Electr. Eng., Wright State Univ., Dayton, OH; |
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Abstract: | An algorithm is proposed to resolve a fundamental 2π ambiguity problem occurring in multiple frequency spectral estimation. Given M frequencies fm, and I separate frequency estimators with unambiguous bandwidths Fi, the ambiguity problem can be stated as solving for the fm, given the estimator outputs, αmi, (1⩽m⩽M;1⩽i⩽I) where fm=αmi+KmiFi and Kmi is some integer. The proposed algorithm exhaustively resolves all possible αmi groupings into single frequency values using a noise insensitive technique that exchanges system bandwidth for noise protection. The correct multiple frequencies are then defined as the single frequencies that repeat a specified number of times. A complete analysis is included |
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