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Optimal random sampling for spectrum estimation in DASP applications

Andrzej TarczynskiDongdong Qu — 2005

International Journal of Applied Mathematics and Computer Science

In this paper we analyse a class of DASP (Digital Alias-free Signal Processing) methods for spectrum estimation of sampled signals. These methods consist in sampling the processed signals at randomly selected time instants. We construct estimators of Fourier transforms of the analysed signals. The estimators are unbiased inside arbitrarily wide frequency ranges, regardless of how sparsely the signal samples are collected. In order to facilitate quality assessment of the estimators, we calculate...

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