A New Scheme To Enhance The Performance Of Permutation Index-Differential Chaos Shift Keying Communications System

Abstract In this paper, a new scheme based on permutation index-differential chaos shift keying is proposed, modeled, and evaluated in AWGN channel environment. Data is sent by frames, each frame is headed by a single reference signal and followed by some information bearing signals. Modulation is performed through permutations of a reference signal according to the mapped data. At the receiver, each incoming information bearing signal undergoes all inverse permutation possibilities to perform a correlation with the delayed and stored version of the received reference signal. To decode the information bits, the detector selects the highest correlator outputs. The proposed scheme named Single Reference-Permutation Index-Differential Chaos Shift Keying (SR-PI-DCSK) is an enhanced version of PI-DCSK, and uses a single reference signal for multiple information bearing ones. Hence, the energy requirement is saved by almost a half. The bit error performance is studied using the baseband system model and analytically tested using Gaussian Approximation (GA) method. Results show the BER performance outperforms other standard and recently developed differentially coherent chaos systems, including Permutation Index-DCSK by an average of $2.25$~db. Moreover, the analytical form which is developed to predict the Bit Error Rate (BER) is validated by simulation. Results demonstrate the performance in AWGN is closely matching with the simulation results, particularly at high SNR.