Spectral shaping codes with even length permutation sequences

Ouahada, Khmaies; Ferreira, H.C.

doi:10.1109/itw.2011.6089368

Cited by 2 publications

(5 citation statements)

References 18 publications

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“…This therefore implies that any channel symbol combination in the removed column can not yield any notch value that is greater than (20). Both (19) and (20) thus proves (18).…”

Section: ) Injection Coding With Spectral Shapingmentioning

confidence: 90%

“…Literature has reported various ways by which spectral null PCs can be constructed [10], [19], [20]. According to (3), the condition for a spectral null codebook is that M is made to be a multiple of G, such that M = Gg, where g is an integer.…”

Section: ) Permutation Coding With Spectral Nullsmentioning

confidence: 99%

“…In the following section, we shall evaluate M spectral shaping injection codebooks from the corresponding spectral null PC codebooks. To avoid repetition of knowledge, the reader is hereby referred to [10], [11], [20] for details on spectral null PC constructions.…”

Section: ) Injection Coding With Spectral Shapingmentioning

confidence: 99%

“…This is possible by exploiting unique properties in the frequency spectra of such coding schemes so as to suit the system in which they are used [11]. Also, reports have shown that PAM symbols can be manipulated to achieve spectral shaping by the use of PCs [10], [19], [20]. Therefore, the proposed injection coding scheme can be adopted for such purposes, since it can attain high rates and be manipulated such that spectrum shaping is achieved, when combined with a PAM system.…”

Section: Introductionmentioning

confidence: 99%

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Injection Coding With Spectral Shaping Capability

2021

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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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“…This therefore implies that any channel symbol combination in the removed column can not yield any notch value that is greater than (20). Both (19) and (20) thus proves (18).…”

Section: ) Injection Coding With Spectral Shapingmentioning

confidence: 90%

Section: ) Permutation Coding With Spectral Nullsmentioning

confidence: 99%

Section: ) Injection Coding With Spectral Shapingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Injection Coding With Spectral Shaping Capability

2021

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“…As such, it is preferable for high speed digital transmission as in optical fibre channel and LAN systems [13]. When PAM symbols are arranged in the form of permutation coding, spectral shaping can be achieved, which is of key importance when reducing the effects of DC-wander in digital recorders and metallic cables [14].…”

Section: Introductionmentioning

confidence: 99%

International Journal of Electronics and Telecommunications

Ogunyanda

Shongwe

Swart

2020

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Arriving at a good combination of coding and modulation schemes that can achieve good error correction constitutes a challenge in digital communication systems. In this work, we explore the combination of permutation coding (PC) and pulse amplitude modulation (PAM) for mitigating channel errors in the presence of background noise and jitter. Since PAM is characterised with bi-polar constellations, Euclidean distance is a good choice for predicting the performance of such coded modulation setup. In order to address certain challenges facing PCs, we therefore introduce injections in the coding system, together with a modified form of PAM system. This modification entails constraining the PAM constellations to the size of the codeword's symbol. The results obtained demonstrate the strength of the modified coded PAM system over the conventional PC coded PAM system.

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Spectral shaping codes with even length permutation sequences

Cited by 2 publications

References 18 publications

Injection Coding With Spectral Shaping Capability

Injection Coding With Spectral Shaping Capability

International Journal of Electronics and Telecommunications

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