Recovery of Uniform Samples and Spectrum of Band-limited Irregularly Sampled Signals
(2016) In Technical Reports TFRT-7647- 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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/f9de71a5-dcfa-4f9b-b9b4-0f634cba15c3
- author
- Ghazaei, Mahdi LU and Johansson, Rolf LU
- organization
- publishing date
- 2016
- type
- Book/Report
- publication status
- published
- subject
- keywords
- non-uniform sampling, interpolation, spectral analysis, iterative methods, non-integer delay
- in
- Technical Reports TFRT-7647
- pages
- 25 pages
- publisher
- Department of Automatic Control, Lund Institute of Technology, Lund University
- ISSN
- 0280-5316
- project
- RobotLab LTH
- language
- English
- LU publication?
- yes
- id
- f9de71a5-dcfa-4f9b-b9b4-0f634cba15c3
- date added to LUP
- 2016-06-22 16:03:53
- date last changed
- 2020-05-11 09:16:53
@techreport{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}}, institution = {{Department of Automatic Control, Lund Institute of Technology, Lund University}}, issn = {{0280-5316}}, keywords = {{non-uniform sampling; interpolation; spectral analysis; iterative methods; non-integer delay}}, language = {{eng}}, series = {{Technical Reports TFRT-7647}}, title = {{Recovery of Uniform Samples and Spectrum of Band-limited Irregularly Sampled Signals}}, url = {{https://lup.lub.lu.se/search/files/8692094/nusampTechreport.pdf}}, year = {{2016}}, }