Hyperchaotic map-based adaptive polar codes for robust and efficient communication

Abstract

This paper introduces a novel chaos-driven adaptive polar coding scheme designed to enhance both the reliability and security of digital communications. The proposed system employs a two-dimensional (2D) hyperchaotic map to dynamically control coding parameters at the block level. For each block, the chaotic system generates two indices: one selects the block length from a predefined set of sizes 2^n, and the other selects a signal-to-noise ratio (SNR) value from a fixed SNR vector of length 1×11. The selected SNR value guides the calculation of the Bhattacharyya parameter, enabling optimized frozen bit selection during polar code construction. A shared secret key, composed of the chaotic map’s initial conditions and the SNR vector, ensures that the receiver can accurately regenerate the parameter sequence without any explicit exchange of configuration data. The system is evaluated over an additive white Gaussian noise (AWGN) channel using BPSK modulation. Simulation results demonstrate a clear improvement in bit error rate (BER) performance and enhanced security compared to conventional static polar coding. Furthermore, sensitivity analysis shows that decoding fails completely in the presence of key mismatch, thus ensuring strong data confidentiality. This approach offers an efficient and secure communication framework, particularly suited to dynamic and resource-constrained environments such as satellite systems and wireless sensor networks.