Multi-parameter m-complementary Golay sequences and transforms

• Main Authors: Valeri Labunets, Victor Chasovskih, Yuri Smetanin, Ekaterina Ostheimer (Rundblad)
• Format: Article
• Language: English
• Published: Samara National Research University 2018-12-01
• Series: Компьютерная оптика
• Subjects: complementary sequences; many-parameter orthogonal transforms; fast algorithms; OFDM systems
• Online Access: http://computeroptics.ru/KO/PDF/KO42-6/420617.pdf

In this paper, we develop the family of Golay–Rudin–Shapiro (GRS) m-complementary many-parameter sequences and many-parameter Golay transforms. The approach is based on a new generalized iteration generating construction, associated with n unitary many-parameter transforms and n arbitrary groups of given fixed order. We are going to use multi-parameter Golay transform in Intelligent-OFDM-TCS instead of discrete Fourier transform in order to find out optimal values of parameters optimized PARP, BER, SER, anti-eavesdropping and anti-jamming effects.