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

Ghazaei, Mahdi LU and Johansson, Rolf LU (2016)
Abstract
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... (More)
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. (Less)
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author
organization
publishing date
type
Book/Report
publication status
published
subject
keywords
non-uniform sampling, interpolation, spectral analysis, iterative methods, non-integer delay
pages
25 pages
publisher
Department of Automatic Control, Lund Institute of Technology, Lund University
language
English
LU publication?
yes
id
f9de71a5-dcfa-4f9b-b9b4-0f634cba15c3
date added to LUP
2016-06-22 16:03:53
date last changed
2016-06-23 13:59:27
@misc{f9de71a5-dcfa-4f9b-b9b4-0f634cba15c3,
  abstract     = {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.},
  author       = {Ghazaei, Mahdi and Johansson, Rolf},
  keyword      = {non-uniform sampling,interpolation,spectral analysis,iterative methods,non-integer delay},
  language     = {eng},
  pages        = {25},
  publisher    = {ARRAY(0xad50c50)},
  title        = {Recovery of Uniform Samples and Spectrum of Band-limited Irregularly Sampled Signals},
  year         = {2016},
}