1. bookVolume 72 (2021): Issue 5 (September 2021)
Journal Details
License
Format
Journal
First Published
07 Jun 2011
Publication timeframe
6 times per year
Languages
English
access type Open Access

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

Published Online: 20 Nov 2021
Page range: 297 - 305
Received: 08 May 2021
Journal Details
License
Format
Journal
First Published
07 Jun 2011
Publication timeframe
6 times per year
Languages
English
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.

Keywords

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