An ultimate-Shannon-limit-approaching Gbps throughput encoder/decoder system

Abstract

A turbo-Hadamard code (THC) is a type of low-rate channel code with capacity approaching the ultimate Shannon limit, i.e., -1.59 dB. In this brief, we investigate the hardware design of a turbo-Hadamard encoder/decoder system. The entire system has been implemented on an FPGA board. A bit error rate (BER) of 10-5 can be achieved at $E_{b}/N_{0} = 0.04$ dB with a throughput of 3.2 Gbps or at $E_{b}/N_{0} = -0.45$ dB with a throughput of 1.92 Gbps.