A logistic-Map-Based PN Sequence for Stochastic Wireless Channels

Abstract

The work in this chapter mainly focusses on a pseudo-noise (PN) sequence generator which is constructed exploiting the features of one-dimensional chaotic systems such as a logistic map. The use of logistic map to generate strong cryptographic sequences is novel in approach in terms of its use with a range of transmission techniques for wireless communication because it is easy to conceive and requires simple devices to generate the sequence. The generated sequence is used as a spreading sequence in a DS-SS modulation multipath environment with AWGN and Rayleigh fading channel, under various channel fading conditions. The BER curves and channel impulse responses are obtained and compared with the existing linear feedback shift register (LFSR) based PN sequence and Kasami sequence. Results from this comparative analysis indicate that the proposed method generally yields a greater number of reliable, unpredictable and random bits than existing techniques under the same conditions and can be practically implemented for DS-SS scheme as a spreading sequence.