Frequency Estimation Enhancement of Multiple Complex Exponentials
نویسندگان
چکیده
Frequency estimation of complex exponentials using the interpolated Fourier spectrum is analyzed. Data is categorized into two types: phase relationship between components – random/fixed phase difference; and availability of data – single-shot/continuous. When phase difference between exponentials is random the bias component, from interaction of secondary sidelobes, itself becomes random. This translation of bias to variance has considerable implications when choosing effective window functions in conjunction with averaging procedures to minimize mean square error. Optimal methods are identified for each type of data. Key-Words: Frequency estimation, Fourier, Interpolated spectrum, Complex exponentials, Window functions
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