Optimized signaling for ultra-high-speed fiber-optical communications

Abstract

This thesis deals with the topic of channel coding. We start from the basics, defining a channel, a decoder and other channel coding elements gradually moving to more complex topics ending with non-binary low-density parity-check codes. The aim of the thesis is to give the reader a grasp on why do we need the channel coding and how does it work. Finally we implement a fast Hadamard transform and a regular Hadamard transform functions in Matlab and compare their performances when used for decoding non-binary low-density parity-check codes.