Explore Error Control Coding techniques in Digital Communication. Understand the importance and methods to ensure data integrity and reliability in communications. Learn about Error Control Coding in Digital Communication and its essential role in maintaining data integrity and reliability.

Convolutional coding is known to be one of the most frequently used error correction techniques relative to digital wireless communication. Previously, we have discussed block codes where the data stream is divided into blocks of bits having a specific length and is encoded using parity bits.

In this chapter, we shall first learn about the basic definitions of error control coding. These definitions, as we shall see, would be used throughout this book. The concept of Linear Block Codes will then be introduced. Linear Block Codes form a very large class of useful codes.

Cyclic Block Codes Definition: oAn (n, k) linear code C is called a cyclic code if every cyclic shift of a code vector in C is also a code vector oCodewords can be represented as polynomials of degree n. For a cyclic code all codewords are multiple of some polynomial g(X) modulo Xn+1 such that g(X) divides Xn+1. g(X) is called the generator ...

Figure 10.8d Convolutional encoding for Example 10.10: (a) encoder, (b) state transition diagram, (c) tree diagram, and (d) trellis diagram.

Important words in error control coding techniques: Codeword: The encoded block of ‘n’ bits is called a codeword. It contains message bits and redundant bits. Block length: The number of bits ‘n’ after coding is called the block length of the code. Code rate: The ration of message bits (k) and the encoder output bits (n) is called code ...

Jan 1, 2004 · This paper provides analysis of high performance forward error control (FEC) coding scheme suitable for next generation HF-IP systems, which can be used as an optional scheme according to the...

The above block diagram gives us a digital communication system, employing error control coding. The main functional blocks are the channel encoder the channel decoder, modulator and demodulator the noisy communication charmel with a Capacity C The source generates a message block at a rate of 916 and feeds it to the channel encoder.

Introduction to Coding Theory, Linear Block Codes, Generator Matrices. Linear Block Codes, Parity check matrices, Vector Space view of codes, Dual codes. Dual Codes, Self-orthogonal and Self-Dual codes, Examples of dual codes, Relation between parity-check matrix and dual code.

Topics covered include linear block codes, cyclic codes (BCH and RS codes), convolutional codes and low-density parity-check (LDPC) codes.