<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Journal of Electrical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

We are witnessing a growing interest in processing signals sampled below the Nyquist rate. The main limitation of current approaches considering estimation of...

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

Publié en ligne: 20 nov. 2021

Pages: 297 - 305

Reçu: 08 mai 2021

DOI: https://doi.org/10.2478/jee-2021-0042

Mots clés
grid frequency, non-uniform sampling, sampling below the Nyquist rate

© 2021 Igor Djurović, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Publié en ligne: 20 nov. 2021

Pages: 297 - 305

Reçu: 08 mai 2021

DOI: https://doi.org/10.2478/jee-2021-0042

Mots clésgrid frequency, non-uniform sampling, sampling below the Nyquist rate

© 2021 Igor Djurović, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
grid frequency, non-uniform sampling, sampling below the Nyquist rate