Injection Coding With Spectral Shaping Capability

In digital transmission systems that involve pulse amplitude modulation (PAM), channel coding is useful for spectral shaping by concentrating the frequency energy of the transmitted information towards a predetermined range of the frequency spectrum, or making it have low power content at such frequ...

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Main Authors: Opeyemi O. Ogunyanda, Thokozani Shongwe, Theo G. Swart
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9312603/
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author Opeyemi O. Ogunyanda
Thokozani Shongwe
Theo G. Swart
author_facet Opeyemi O. Ogunyanda
Thokozani Shongwe
Theo G. Swart
author_sort Opeyemi O. Ogunyanda
collection DOAJ
description In digital transmission systems that involve pulse amplitude modulation (PAM), channel coding is useful for spectral shaping by concentrating the frequency energy of the transmitted information towards a predetermined range of the frequency spectrum, or making it have low power content at such frequencies, so as to suit the frequency characteristics of the communication channel. We thus present a permutation coding system with injections that can exhibit spectral shaping at rational sub-multiples of the symbol frequency. We also present a mathematical expression that allows for the prediction of low energy positions in the codebook’s spectrum. Upper and lower bounds for the low energy spectrum were also determined. Due to the way the injections are introduced, it gives the scheme an advantage of achieving higher symbol rate, when compared with conventional permutation coding systems.
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spelling doaj.art-04a0e419554142329601170e348d87812022-12-22T03:47:00ZengIEEEIEEE Access2169-35362021-01-019199391994610.1109/ACCESS.2020.30490179312603Injection Coding With Spectral Shaping CapabilityOpeyemi O. Ogunyanda0https://orcid.org/0000-0003-4450-713XThokozani Shongwe1https://orcid.org/0000-0002-3011-7600Theo G. Swart2https://orcid.org/0000-0002-1525-7728Department of Electrical and Electronic Engineering Science, University of Johannesburg, Johannesburg, South AfricaDepartment of Electrical and Electronic Engineering Technology, University of Johannesburg, Johannesburg, South AfricaDepartment of Electrical and Electronic Engineering Science, University of Johannesburg, Johannesburg, South AfricaIn digital transmission systems that involve pulse amplitude modulation (PAM), channel coding is useful for spectral shaping by concentrating the frequency energy of the transmitted information towards a predetermined range of the frequency spectrum, or making it have low power content at such frequencies, so as to suit the frequency characteristics of the communication channel. We thus present a permutation coding system with injections that can exhibit spectral shaping at rational sub-multiples of the symbol frequency. We also present a mathematical expression that allows for the prediction of low energy positions in the codebook’s spectrum. Upper and lower bounds for the low energy spectrum were also determined. Due to the way the injections are introduced, it gives the scheme an advantage of achieving higher symbol rate, when compared with conventional permutation coding systems.https://ieeexplore.ieee.org/document/9312603/Frequency spectruminjectionPAMpermutation codespower spectral densitypulse amplitude modulation
spellingShingle Opeyemi O. Ogunyanda
Thokozani Shongwe
Theo G. Swart
Injection Coding With Spectral Shaping Capability
IEEE Access
Frequency spectrum
injection
PAM
permutation codes
power spectral density
pulse amplitude modulation
title Injection Coding With Spectral Shaping Capability
title_full Injection Coding With Spectral Shaping Capability
title_fullStr Injection Coding With Spectral Shaping Capability
title_full_unstemmed Injection Coding With Spectral Shaping Capability
title_short Injection Coding With Spectral Shaping Capability
title_sort injection coding with spectral shaping capability
topic Frequency spectrum
injection
PAM
permutation codes
power spectral density
pulse amplitude modulation
url https://ieeexplore.ieee.org/document/9312603/
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