Performance of Fibonacci-Binary Sequences for SLM based OFDM Systems

Binary sequences such as chaotic-binary (CB) sequences derived from an iterative chaotic equation have been used in selected mapping (SLM) methods to reduce the peak-to-average power ratio (PAPR) in orthogonal frequency division multiplexing (OFDM) systems. Though CB sequences have been shown to produce good PAPR reduction performance, their implementation requires a significant number of complex computations which may increase both design costs and energy requirements. This paper presents an alternative form of binary sequences derived from a Fibonacci series and referred to as Fibonacci-Binary (FB) sequences. Simulations show that although CB sequences produce slightly improved PAPR reduction performance over the proposed FB sequences for larger numbers of applied SLM vectors, both forms of binary sequences produce similar bit-error-rate (BER) performance even in the presence of non-linear power amplifier distortion. In terms of computational complexity however, it is shown that FB sequences have significantly reduced computational requirements over CB sequences and thus may be considered as preferred option for reducing PAPR in SLM based OFDM systems. Key–Words: Fibonacci series, Fibonacci-Binary, Chaotic-Binary, OFDM, PAPR reduction, Selected mapping.