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Time localization and capacity of faster-than-nyquist signaling
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0001-5158-9255
2015 (English)In: 2015 IEEE Global Communications Conference, GLOBECOM 2015, Institute of Electrical and Electronics Engineers (IEEE), 2015, 7417358Conference paper (Refereed)
Abstract [en]

In this paper, we consider communication over the bandwidth limited analog white Gaussian noise channel using non-orthogonal pulses. In particular, we consider non-orthogonal transmission by signaling samples at a rate higher than the Nyquist rate. Using the faster-than- Nyquist (FTN) framework, Mazo showed that one may transmit symbols carried by sinc pulses at a higher rate than that dictated by Nyquist without loosing bit error rate. However, as we will show in this paper, such pulses are not necessarily well localized in time. In fact, assuming that signals in the FTN framework are well localized in time, one can construct a signaling scheme that violates the Shannon capacity bound. We also show directly that FTN signals are in general not well localized in time. We also consider FTN signaling in the case of pulses that are different from the sinc pulses. We show that one may use a precoding scheme of low complexity, in order to remove the intersymbol interference. This leads to the possibility of increasing the number of transmitted samples per time unit and compensate for spectral inefficiency due to signaling at the Nyquist rate of the non sinc pulses. We demonstrate the power of the precoding scheme by simulations.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2015. 7417358
Keyword [en]
Gaussian noise (electronic), Intersymbol interference, Signal processing, Signaling, Bandwidth limiteds, Faster-than-nyquist signaling, Non-orthogonal, Precoding scheme, Shannon capacity, Time localization, Transmit symbols, White Gaussian Noise
National Category
Communication Systems
URN: urn:nbn:se:kth:diva-195366DOI: 10.1109/GLOCOM.2014.7417358ISI: 000382389302096ScopusID: 2-s2.0-84964867127ISBN: 9781479959525OAI: diva2:1046766
58th IEEE Global Communications Conference, GLOBECOM 2015, San Diego, United States, 6 December 2015 through 10 December 2015

QC 20161115

Available from: 2016-11-15 Created: 2016-11-03 Last updated: 2016-11-29Bibliographically approved

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