Random Communication System Based on Skewed Alpha-Stable Levy Noise Shift Keying

Abstract

The digital communication system is based on the skewed alpha-stable ([Formula: see text]-stable) noise sequence which is chosen as the random carrier to modulate the binary message at the transmitter side. Antipodal characteristic of the skew parameter beta ([Formula: see text]) is exploited for decoding information at the receiver side to obtain a secure communication system. A fast estimator used in this paper is based on Modified Extreme Value Method (MEVM) to extract the binary message from the signal received through the Additive White Gaussian Noise (AWGN) channel. Our proposed receiver is achieving better bit error rate (BER) versus Mixed Signal to Noise Ratio (MSNR) than previously introduced receivers which are based on Sinc and Logarithmic estimators. MEVM estimator is indeed less complex compared to the Sinc and Logarithmic estimators and hence more fast. Additionally, the criterion to measure the security level of random communication system, which is based on [Formula: see text]-stable noise sequence, has also been introduced.

Synchronisation of alpha‐stable levy noise‐based Random Communication System

“…By choosing the slant parameter as ‘0’ or ‘1’, the corresponding distributions or the random carriers are skewed either to the right or to the left. The receiver estimates corresponding by the maximum extreme value method in [23].…”

“…Also, a new model of RCS based on joint normal distribution has been introduced by Xu et al in [22]. Similarly, the security performance trade-off characteristics have been introduced recently by Ahmed and Savaci in [23] to measure the security of RCSs. The effects of imperfect synchronisation in RCSs have already been observed in [24].…”

“…Also, the criterion known as confidence ratio (CR) to measure the reliability of the proposed SB has also been proposed. In Section 2, α ‐stable distributions and noise shift keying method in [23] are briefly given. In Section 3, the proposed synchronisation method based on the pilot sequence which is also obtained from α ‐stable distributions are presented.…”

Inverse system approach to design alpha‐stable noise driven random communication system

“…Therefore, different receiver have also been utilised to enhance the performance of RCSs [5]. However, the most optimised model of the RCS based on SkαS Levy noise shift keying (Sk-αSNSK) has been introduced in [6]. Similarly, synchronised RCS was recently introduced in [7] as the first method for synchronisation of RCSs.…”

On optimizing fractional lower order covariance based synchronization method for random communication systems

“…Recently, the most optimized model of α-stable noise based communication system, i.e. Random Communication System (RCS), has been introduced [8]. However, all the α-stable noise based communication systems discussed above used to assume perfect synchronization where no method was actually introduced to establish synchronization in RCSs and it has also been shown in [9] that imperfect synchronization has drastic effects on the performance of RCSs.…”