A Comparison of Methods Recovering Signals from Non-Uniform Samples

A Comparison of Methods Recovering Signals from Non-Uniform Samples

Paper in proceedings (conference paper)

Band-limited signals play a vital role in signal acquisition, transmission, processing and storage for decades. However, their recovery from non-uniformly spaced samples is still subject to discussion. There are multiple authors advancing different approaches and the user has to deal with an abundance of literature. Therefore, this paper offers a brief theoretical review of the most promising reconstruction methods. We also consider the importance of regularisation if the signal samples are noisy, which, surprisingly, seems to be neglected by many authors. Subsequently, the suitability of the methods is illustrated using an example of a real-world signal. Assessment of accuracy and speed of the methods is repeated for varying noise levels in signal amplitude, and for increasing degree of non-uniformities in sampling time. Cubic spline methods and sinc function reconstruction offer the best compromise between speed and accuracy for the concrete signal tested in this paper.

Band-limited signals play a vital role in signal acquisition, transmission, processing and storage for decades. However, their recovery from non-uniformly spaced samples is still subject to discussion. There are multiple authors advancing different approaches and the user has to deal with an abundance of literature. Therefore, this paper offers a brief theoretical review of the most promising reconstruction methods. We also consider the importance of regularisation if the signal samples are noisy, which, surprisingly, seems to be neglected by many authors. Subsequently, the suitability of the methods is illustrated using an example of a real-world signal. Assessment of accuracy and speed of the methods is repeated for varying noise levels in signal amplitude, and for increasing degree of non-uniformities in sampling time. Cubic spline methods and sinc function reconstruction offer the best compromise between speed and accuracy for the concrete signal tested in this paper.

bandlimited signal, resampling, regularisation, reconstruction

bandlimited signal, resampling, regularisation, reconstruction

MIHÁLIK, O.; MESÁROŠOVÁ, M.; ČELKO, J.; SÝKORA, T.; BRADÁČ, Z.

2025

14.08.2024

Elsevier

Brno, Czechia

18th IFAC Conference on Programmable Devices and Embedded Systems – PDeS 2024.

2405-8963

IFAC-PapersOnLine

58

9

United Kingdom of Great Britain and Northern Ireland

143

148

6

https://www.sciencedirect.com/science/article/pii/S2405896324004750

http://hdl.handle.net/11012/249740