Estimation of parameters of a sum of sinusoids sampled below the Nyquist rate with frequencies away from the grid-Reference-Cited by-同舟云学术

Estimation of parameters of a sum of sinusoids sampled below the Nyquist rate with frequencies away from the grid

Published:2021-09-01 Issue:5 Volume:72 Page:297-305
ISSN:1339-309X
Container-title:Journal of Electrical Engineering
language:en
Short-container-title:

Author:

Djurović Igor¹²

Affiliation:

1. University of Montenegro , Electrical Engineering Department , Cetinjski put bb , Podgorica , Montenegro

2. Montenegrin Academy of Sciences and Arts , Rista Stijovi´ca 5 , Podgorica , Montenegro

Abstract

Abstract We are witnessing a growing interest in processing signals sampled below the Nyquist rate. The main limitation of current approaches considering estimation of multicomponent sinusoids parameters is the assumption of frequencies on the frequency grid. The sinusoids away from the frequency grid are considered in this paper. The proposed procedure has three stages. In the first two, a rough estimation of signal components is performed while in the third refinement in estimation is achieved in a component-by-component manner. We have tested the developed technique on an extended set of simulation examples showing excellent accuracy. Three scenarios are considered in experiments: missing samples, noisy environment, and non-uniform sampling below the Nyquist rate.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/jee-2021-0042

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