Study On The Structure Of Standard Golay Sequences

Orthogonal Frequency Division Multiplexing (OFDM) is a method of transmitting data simultaneously over multiple equally spaced carrier frequencies. OFDM offers many well-documented advantages for multicarrier transmission at high data rates. Specifically, it has inherent resistance to dispersion in the propagation channel.The principal difficulty with OFDM is Peak-to-Average Power Ratio (PAPR),sometimes it called Peak-to-Mean Envelope Power Ratio (PMEPR). There are three technologies to solve this problem, Probability selection, Amplitude restriction and Codes selection. Only Codes selection technology can solve the problem without any addition equipment. Golay sequences are described as a class of best codes because they can reduce the PMEPR to constant unrelated to the number of subcarrier. So the research of Golay sequences is always a hot topic.This paper simply introduced the basic principles and implementation mechanisms of OFDM system, brought in PAPR problem and the solution, especially Codes selection technology and described Golay sequences in detail. At last, I presented a method of finding short Golay sequence from long Golay sequence and introduced a new structure of length-equaled Golay sequences, a new relationship between them and a rule of transform from each other as the result of the study of the mathematics property and structure of standard Golay sequences.