Improving efficiency of fiber optic communication systems with the use of lexicographic decoding of polar codes

Abstract

The fiber optic communication systems are the basis for ensuring global communication of the modern society. High bandwidth and low noise are the main advantages of the indicated class of communication systems. Nevertheless, fiber optic communication systems have a series of confounding factors arising because of the temporary operation, and due to the used fiber optic cable. To compensate for such manifestations it is necessary to use modern error-correcting codes and their decoding methods. In the work proposed to use polar codes and the lexicographic method of decoding. The main advantages of polar codes are the ability to achieve bandwidth, binary symmetric channel of communication, high adaptation to the end-user and acceptable level of correcting capabilities. In the based lexicographic approach is the method of clustering of the space of allowed codewords. Technology of division clusters or lexicographic ordering of the space of allowed codewords of error-correcting binary block codes implements non-algebraic approach to the processing of code vectors of the receiver, allowing to reduce the computation cost and to provide energy gain.