The Construction Of 4~q-QAM Complementary Sequence Sets With Non-power-of-two Length

Orthogonal frequency-division Multiplexing（OFDM）system has the advantages of high Frequency utilization,strong resistance to Frequency selective fading and narrow band inter-ference,which is a widely used multi-carrier transmission scheme.However,OFDM system has high peak-to-mean Envelope Power Ratio（PMEPR）.Golay complementary sequences and complementary sequence sets have been proposed to deal with the high PMEPR problem and low code rate in orthogonal frequency division multiplexing system.The Quadrature Ampli-tude Modulation（QAM）complementary sequence has attracted much attention due to its high bit rate and low PMEPR.Generally,the length of QAM complementary sequence is a power of 2,and the sequence parameters are limited,while the QAM complementary sequence with non-power-of-two length can be used for OFDM systems with non-power-of-two subcarrier number.Therefore,the construction of QAM complementary sequence set with non-power-of-two length has strong research significance.In this paper,QAM Complementary Sequence Set（CSS）with non-power-of-two length is constructed as follows:（1）Based on generalized Boolean functions,a set of 4^q-q AM complementary sequences with lengths of 2^m1^-1+2^vand 2^m2^-1+1 is proposed,where m₁,m₂and v are integers and m₁≥3,m₂≥2,1≤v≤m₁-1.（2）Based on the shift property of the complementary sequence,the recursive construction of 256-QAM complementary sequence sets is proposed,and compared this complementary sequence set with the existing research.