An efficient XOR-free implementation of polar encoder for reconfigurable hardware

Abstract

— This paper presents a novel approach to implementing an XOR-Free architecture of the non-systematic polar encoder (NSPE) for 5G radio. The optimization of XOR logic for hardware (HW) implementation is essential to reduce delay and power consumption. The proposed architecture for NSPE replaces XOR operations with combinational logical patterns, and some redundant patterns are removed with the help of bit manipulation to make it more efficient. The design infers multiplexers (2:1 or 4:1) and inverters as its functional units, making the design adequate and effective in alleviating HW complexity. The XOR-Free encoder performs the same functionality as the XOR-based conventional encoder. We have written a MATLAB script that generates Verilog hardware description language (HDL) code for fully or partially parallel polar encoders tailored to specific code lengths (N) and degrees of parallelism (M). A comparative analysis of various fully and partially parallel encoders with the XOR-Free algorithm is presented. The implementation results show that the proposed architectures are more efficient in terms of HW cost, power consumption, throughput, and latency.