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Recovery of Uniform Samples and Spectrum of Band-limited Irregularly Sampled Signals

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Author

Summary, in English

This paper presents a straightforward method to convert non-uniformly sampled data to uniform samples in order to be processed by some off-line techniques such as system identification. In such scenarios, we deal with a finite-length measurement sequence. We assume periodic extension of the signals, which results in a simple system of linear equations. Furthermore, we take into account a number of practical considerations for solving the system of equations and dealing with issues such as loss of samples. Thanks to the insights from the frequency domain, a non-integer delay element with respect to discrete-time signals is introduced. This interpretation leads to iterative algorithms for reconstruction of either time or frequency representations of the non-uniform samples. We provide simulation results for the case of jitter in the sampling clock and/or drops. Finally, our approach is compared with a few earlier works and the results are discussed.

Publishing year

2016

Language

English

Publication/Series

Technical Reports TFRT-7647

Document type

Report

Publisher

Department of Automatic Control, Lund Institute of Technology, Lund University

Topic

  • Signal Processing
  • Computational Mathematics

Keywords

  • non-uniform sampling
  • interpolation
  • spectral analysis
  • iterative methods
  • non-integer delay

Status

Published

Project

  • LU Robotics Laboratory

ISBN/ISSN/Other

  • ISSN: 0280-5316