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It is well known that the positive- and negative-frequency components of a real sinusoid spectrally interact with each other; thus, introducing bias in frequency estimation based on the periodogram maximization. We propose to filter out the negative-frequency component. To that end, a coarse frequency estimation is obtained using the windowing approach, known to reduce the estimation bias, and then...
Frequency estimation for complex sinusoid is a fundamental problem in signal processing. A simple and effective way is to directly interpolate the discrete Fourier transform coefficients around the peak of the magnitude spectrum. The shortcoming of this method is the non-uniform estimation bias across the frequency. This paper theoretically analyzes the estimation bias for some of the most popular...
The aim of this paper is to investigate some deterministic lower bounds for biased estimation. Namely, the Cramer-Rao bound (CRB) and the Chapman-Robbins bound (ChRB) are addressed. First, a modified version of the ChRB accounting for estimation bias is derived and shown to be tighter than the CRB accounting for bias. Then, an approximation of the estimation bias is proposed and used to provide tractable...
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