On convergence between natural and uniform sampling for PWM generation

Noyan C. Sevuktekin; Andrew C. Singer

doi:10.1109/ACSSC.2015.7421268

On convergence between natural and uniform sampling for PWM generation

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Pulse width modulation is discussed in a comparator with periodic reference signal setting with the emphasis on distinctions between natural and uniform sampling. Motivated by low generator complexity of natural sampling, the convergence characteristics between natural and uniform sampling of a continuous, finite energy, band-limited signal is investigated. The necessary and sufficient conditions for lossless natural sampling are derived and shown to ensure lossless uniform sampling as well. A geometrical framework is constructed to upper bound the deviation between uniform and natural samples and the corresponding sampling instances. Finally, the relation between deviation energy and oversampling factor is discussed.

Original language	English (US)
Title of host publication	Conference Record of the 49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015
Editors	Michael B. Matthews
Publisher	IEEE Computer Society
Pages	903-907
Number of pages	5
ISBN (Electronic)	9781467385763
DOIs	https://doi.org/10.1109/ACSSC.2015.7421268
State	Published - Feb 26 2016
Event	49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015 - Pacific Grove, United States Duration: Nov 8 2015 → Nov 11 2015

Publication series

Name	Conference Record - Asilomar Conference on Signals, Systems and Computers
Volume	2016-February
ISSN (Print)	1058-6393

Other

Other	49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015
Country/Territory	United States
City	Pacific Grove
Period	11/8/15 → 11/11/15

ASJC Scopus subject areas

Signal Processing
Computer Networks and Communications

Online availability

10.1109/ACSSC.2015.7421268

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Sevuktekin, N. C., & Singer, A. C. (2016). On convergence between natural and uniform sampling for PWM generation. In M. B. Matthews (Ed.), Conference Record of the 49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015 (pp. 903-907). Article 7421268 (Conference Record - Asilomar Conference on Signals, Systems and Computers; Vol. 2016-February). IEEE Computer Society. https://doi.org/10.1109/ACSSC.2015.7421268

On convergence between natural and uniform sampling for PWM generation. / Sevuktekin, Noyan C.; Singer, Andrew C.
Conference Record of the 49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015. ed. / Michael B. Matthews. IEEE Computer Society, 2016. p. 903-907 7421268 (Conference Record - Asilomar Conference on Signals, Systems and Computers; Vol. 2016-February).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Sevuktekin, NC & Singer, AC 2016, On convergence between natural and uniform sampling for PWM generation. in MB Matthews (ed.), Conference Record of the 49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015., 7421268, Conference Record - Asilomar Conference on Signals, Systems and Computers, vol. 2016-February, IEEE Computer Society, pp. 903-907, 49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015, Pacific Grove, United States, 11/8/15. https://doi.org/10.1109/ACSSC.2015.7421268

Sevuktekin NC, Singer AC. On convergence between natural and uniform sampling for PWM generation. In Matthews MB, editor, Conference Record of the 49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015. IEEE Computer Society. 2016. p. 903-907. 7421268. (Conference Record - Asilomar Conference on Signals, Systems and Computers). doi: 10.1109/ACSSC.2015.7421268

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AB - Pulse width modulation is discussed in a comparator with periodic reference signal setting with the emphasis on distinctions between natural and uniform sampling. Motivated by low generator complexity of natural sampling, the convergence characteristics between natural and uniform sampling of a continuous, finite energy, band-limited signal is investigated. The necessary and sufficient conditions for lossless natural sampling are derived and shown to ensure lossless uniform sampling as well. A geometrical framework is constructed to upper bound the deviation between uniform and natural samples and the corresponding sampling instances. Finally, the relation between deviation energy and oversampling factor is discussed.

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On convergence between natural and uniform sampling for PWM generation

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