Injection Coding With Spectral Shaping Capability

doi:10.1109/ACCESS.2020.3049017

Injection Coding With Spectral Shaping Capability

2021-01-01

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Opeyemi O. Ogunyanda *

DOI：10.1109/ACCESS.2020.3049017

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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.

Keyword:

Encoding

Frequency modulation

Upper bound

Licenses

Frequency division multiplexing

Couplings

Complexity theory

Frequency spectrum

injection

PAM

permutation codes

power spectral density

pulse amplitude modulation

spectral shaping

spectrum nulls

Injection Coding With Spectral Shaping Capability

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