Reed Solomon Coding _16 PSK Using Simulink

Reed solomon coding with 16 PSK modulation in AWGN channel

Format of Reed-Solomon Codes

The basic building block of Reed-Solomon codes is a symbol composed of m binary bits, where m can be any natural number greater than 2. For a given m, the length of all the Reed-Solomon codes composed of m-bit symbols is 2m - 1. For example, for 8-bit symbols, the length of the Reed-Solomon codes is 28 - 1 = 255.

A complete Reed-Solomon code consists of two parts: the data part and the parity part. For a Reed-Solomon code of n symbols, the first k symbols is the data part, which is the information to be protected against corruption, and the following (n-k) symbols is the parity part, which is calculated based on the data part. Such a Reed-Solomon code is referred to as an (n, k) Reed-Solomon code, or RS(n,k) code. The number of parity symbols is (n-k), usually an even number represented as 2t. A Reed-Solomon code with 2t parity symbols has the capability of correcting up to t error symbols.