Systematic Construction of Golay Complementary Sets of Arbitrary Lengths and Alphabet Sizes
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913633663975424 |
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| author | Roy, Abhishek Majhi, Sudhan Paul, Subhabrata |
| author_facet | Roy, Abhishek Majhi, Sudhan Paul, Subhabrata |
| contents | One of the important applications of Golay complementary sets (GCSs) is the reduction of peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency division multiplexing (OFDM) systems. OFDM has played a major role in modern wireless systems such as long-term-evolution (LTE), 5th generation (5G) wireless standards, etc. This paper searches for systematic constructions of GCSs of arbitrary lengths and alphabet sizes. The proposed constructions are based on extended Boolean functions (EBFs). For the first time, we can generate codes of independent parameter choices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01421 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Systematic Construction of Golay Complementary Sets of Arbitrary Lengths and Alphabet Sizes Roy, Abhishek Majhi, Sudhan Paul, Subhabrata Information Theory 94A55, 94A15, 94D10 One of the important applications of Golay complementary sets (GCSs) is the reduction of peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency division multiplexing (OFDM) systems. OFDM has played a major role in modern wireless systems such as long-term-evolution (LTE), 5th generation (5G) wireless standards, etc. This paper searches for systematic constructions of GCSs of arbitrary lengths and alphabet sizes. The proposed constructions are based on extended Boolean functions (EBFs). For the first time, we can generate codes of independent parameter choices. |
| title | Systematic Construction of Golay Complementary Sets of Arbitrary Lengths and Alphabet Sizes |
| topic | Information Theory 94A55, 94A15, 94D10 |
| url | https://arxiv.org/abs/2405.01421 |