Approaching the Shannon Limit by Means of Optimal FTN Signals with Increased Size of PAM Signal Constellation

Anna S. Ovsyannikova; Sergey V. Zavjalov; Ilya I. Lavrenyuk; Sergey B. Makarov; Dmitrii Solomitckii

doi:10.1109/EExPolytech.2019.8906814

Approaching the Shannon Limit by Means of Optimal FTN Signals with Increased Size of PAM Signal Constellation

Anna S. Ovsyannikova, Sergey V. Zavjalov, Ilya I. Lavrenyuk, Sergey B. Makarov, Dmitrii Solomitckii

Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

3 Citations (Scopus)

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Abstract

Application of Faster than Nyquist (FTN) signals allows achieving high spectral and energy characteristics of the communication system. Further approaching the Shannon limit that determines the channel throughput is related to increasing the size of the signal constellation. However, an increase in the size of the signal constellation results in sharp growth of energy losses for FTN signals. To reduce these energy losses optimal FTN pulses obtained as a result of solving the optimization problem with the constraint on signal constellation size M may be used. In this work, optimal pulse shapes for pulse-amplitude modulation (PAM) with M=4, 16, 64, 256 were found. It was shown that applying optimal FTN signals with PAM allows reducing energy losses by 4 dB regarding the FTN signals based on root-raised-cosine pulses for coherent symbol-by-symbol detection algorithm. In terms of approaching the Shannon limit, the closest results are provided by determining the bandwidth containing 99% of signal energy.

Original language	English
Title of host publication	2019 IEEE International Conference on Electrical Engineering and Photonics (EExPolytech)
Publisher	IEEE
Pages	132-135
Number of pages	4
ISBN (Electronic)	978-1-7281-4439-9
ISBN (Print)	978-1-7281-4440-5
DOIs	https://doi.org/10.1109/EExPolytech.2019.8906814
Publication status	Published - Oct 2019
Publication type	A4 Article in conference proceedings
Event	IEEE International Conference on Electrical Engineering and Photonics - Duration: 1 Jan 2000 → …

Conference

Conference	IEEE International Conference on Electrical Engineering and Photonics
Period	1/01/00 → …

Keywords

faster than Nyquist signaling
optimal signals
optimization problem
Shannon limit
pulse-amplitude modulation
root-raised-cosine pulses

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10.1109/EExPolytech.2019.8906814

Approaching the Shannon Limit 2019
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http://urn.fi/URN:NBN:fi:tuni-202002031768

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Ovsyannikova, A. S., Zavjalov, S. V., Lavrenyuk, I. I., Makarov, S. B., & Solomitckii, D. (2019). Approaching the Shannon Limit by Means of Optimal FTN Signals with Increased Size of PAM Signal Constellation. In 2019 IEEE International Conference on Electrical Engineering and Photonics (EExPolytech) (pp. 132-135). IEEE. https://doi.org/10.1109/EExPolytech.2019.8906814

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title = "Approaching the Shannon Limit by Means of Optimal FTN Signals with Increased Size of PAM Signal Constellation",

abstract = "Application of Faster than Nyquist (FTN) signals allows achieving high spectral and energy characteristics of the communication system. Further approaching the Shannon limit that determines the channel throughput is related to increasing the size of the signal constellation. However, an increase in the size of the signal constellation results in sharp growth of energy losses for FTN signals. To reduce these energy losses optimal FTN pulses obtained as a result of solving the optimization problem with the constraint on signal constellation size M may be used. In this work, optimal pulse shapes for pulse-amplitude modulation (PAM) with M=4, 16, 64, 256 were found. It was shown that applying optimal FTN signals with PAM allows reducing energy losses by 4 dB regarding the FTN signals based on root-raised-cosine pulses for coherent symbol-by-symbol detection algorithm. In terms of approaching the Shannon limit, the closest results are provided by determining the bandwidth containing 99% of signal energy.",

keywords = "faster than Nyquist signaling, optimal signals, optimization problem, Shannon limit, pulse-amplitude modulation, root-raised-cosine pulses",

author = "Ovsyannikova, {Anna S.} and Zavjalov, {Sergey V.} and Lavrenyuk, {Ilya I.} and Makarov, {Sergey B.} and Dmitrii Solomitckii",

year = "2019",

month = oct,

doi = "10.1109/EExPolytech.2019.8906814",

language = "English",

isbn = "978-1-7281-4440-5",

pages = "132--135",

booktitle = "2019 IEEE International Conference on Electrical Engineering and Photonics (EExPolytech)",

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note = "IEEE International Conference on Electrical Engineering and Photonics ; Conference date: 01-01-2000",

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Ovsyannikova, AS, Zavjalov, SV, Lavrenyuk, II, Makarov, SB & Solomitckii, D 2019, Approaching the Shannon Limit by Means of Optimal FTN Signals with Increased Size of PAM Signal Constellation. in 2019 IEEE International Conference on Electrical Engineering and Photonics (EExPolytech). IEEE, pp. 132-135, IEEE International Conference on Electrical Engineering and Photonics, 1/01/00. https://doi.org/10.1109/EExPolytech.2019.8906814

Approaching the Shannon Limit by Means of Optimal FTN Signals with Increased Size of PAM Signal Constellation. / Ovsyannikova, Anna S.; Zavjalov, Sergey V.; Lavrenyuk, Ilya I. et al.
2019 IEEE International Conference on Electrical Engineering and Photonics (EExPolytech). IEEE, 2019. p. 132-135.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

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AB - Application of Faster than Nyquist (FTN) signals allows achieving high spectral and energy characteristics of the communication system. Further approaching the Shannon limit that determines the channel throughput is related to increasing the size of the signal constellation. However, an increase in the size of the signal constellation results in sharp growth of energy losses for FTN signals. To reduce these energy losses optimal FTN pulses obtained as a result of solving the optimization problem with the constraint on signal constellation size M may be used. In this work, optimal pulse shapes for pulse-amplitude modulation (PAM) with M=4, 16, 64, 256 were found. It was shown that applying optimal FTN signals with PAM allows reducing energy losses by 4 dB regarding the FTN signals based on root-raised-cosine pulses for coherent symbol-by-symbol detection algorithm. In terms of approaching the Shannon limit, the closest results are provided by determining the bandwidth containing 99% of signal energy.

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Approaching the Shannon Limit by Means of Optimal FTN Signals with Increased Size of PAM Signal Constellation

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