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Signal reconstruction with generalized sampling

Yamamoto, Kaoru LU ; Nagahara, Masaaki and Yamamoto, Yutaka (2018) 56th IEEE Annual Conference on Decision and Control, CDC 2017 p.6253-6258
Abstract
This paper studies the problem of reconstructing continuous-time signals from discrete-time uniformly sampled data. This signal reconstruction problem has been studied by the authors in various contexts, and led to a new signal processing paradigm. The crux there is to employ a physically realizable signal generator model, and design an (sub)optimal filter via H-infinity (C+) optimal sampled-data control theory. The present paper extends this framework to the situation where sampling is more general having a generalized sampling kernel. It is more consistent with a more general framework, for example, wavelet signal expansion, and can lead to a more general applications. We give a general setup along with a solution via... (More)
This paper studies the problem of reconstructing continuous-time signals from discrete-time uniformly sampled data. This signal reconstruction problem has been studied by the authors in various contexts, and led to a new signal processing paradigm. The crux there is to employ a physically realizable signal generator model, and design an (sub)optimal filter via H-infinity (C+) optimal sampled-data control theory. The present paper extends this framework to the situation where sampling is more general having a generalized sampling kernel. It is more consistent with a more general framework, for example, wavelet signal expansion, and can lead to a more general applications. We give a general setup along with a solution via fast-sample/fast-hold approximation. A simulation is presented to illustrate the result. (Less)
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author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
56th IEEE Conference on Decision and Control, CDC, 2017
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
56th IEEE Annual Conference on Decision and Control, CDC 2017
conference location
Melbourne, Australia
conference dates
2017-12-12 - 2017-12-15
external identifiers
  • scopus:85046161591
DOI
10.1109/CDC.2017.8264601
language
English
LU publication?
yes
id
d99c17e4-324c-4eb4-aebf-54dda9ab7cd8
date added to LUP
2018-02-16 12:17:34
date last changed
2022-04-25 05:33:33
@inproceedings{d99c17e4-324c-4eb4-aebf-54dda9ab7cd8,
  abstract     = {{This paper studies the problem of reconstructing continuous-time signals from discrete-time uniformly sampled data. This signal reconstruction problem has been studied by the authors in various contexts, and led to a new signal processing paradigm. The crux there is to employ a physically realizable signal generator model, and design an (sub)optimal filter via H-infinity (C+) optimal sampled-data control theory. The present paper extends this framework to the situation where sampling is more general having a generalized sampling kernel. It is more consistent with a more general framework, for example, wavelet signal expansion, and can lead to a more general applications. We give a general setup along with a solution via fast-sample/fast-hold approximation. A simulation is presented to illustrate the result.}},
  author       = {{Yamamoto, Kaoru and Nagahara, Masaaki and Yamamoto, Yutaka}},
  booktitle    = {{56th IEEE Conference on Decision and Control, CDC, 2017}},
  language     = {{eng}},
  pages        = {{6253--6258}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Signal reconstruction with generalized sampling}},
  url          = {{https://lup.lub.lu.se/search/files/38612881/KY_NM_YY_CDC17_pre.pdf}},
  doi          = {{10.1109/CDC.2017.8264601}},
  year         = {{2018}},
}