16-QAM Golay complementary sequences with new sequence lengths
Yen-Wen Huang, Ying Li
Abstract
Yen-Wen Huang, Ying Li
Abstract
A collection of 16-QAM Golay complementary sequences with new sequence lengths 7, 9, and 15 is presented. These Golay sequences can be recursively combined to form other 16-QAM Golay sequences with numerous new sequence lengths. The existence of fixed-alphabet Golay complementary sequences with these lengths was previously unknown. Our results extend possible lengths of Golay complementary sequences, offering more flexibility for signal design.
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A collection of 16-QAM Golay complementary sequences with new sequence lengths 7, 9, and 15 is presented. These Golay sequences can be recursively combined to form other 16-QAM Golay sequences with numerous new sequence lengths. The existence of fixed-alphabet Golay complementary sequences with these lengths was previously unknown. Our results extend possible lengths of Golay complementary sequences, offering more flexibility for signal design.
Key concepts: Binary Golay code, Complementary sequences, QAM, Sequence (biology), Mathematics, Algorithm, Quadrature amplitude modulation, Decoding methods