Error Control Coding is a practical solution to enable acceptable Information# quality in a channel with fixed \(\frac{E_b}{N_0}\) (from #Channel Capacity Theorem). To achieve acceptable error performance, Error Control Coding usually trade-offs bandwidth and system complexity (due to redundancy from #Channel Encoder).
Error Control Codes could be classified into:
There are several schemes for Error Control Coding:
Linear Block Coding is an #Error Control Coding using \((n, k)\) linear Block Code# where \(k\) is the number of message bits and \(n\) is the number of codeword bits. The first portion of \(k\) bits is always identical to the message sequence to be transmitted. The total number of code word could be derived by computing \(2^k\). The second portion is a \(n - k\) bits generalised parity check bits or parity bits. They are computed from the message bits using an encoding rule shown later. The basic property of Linear Block Coding is closure, where the sum of any two codes results in another code word.
At the receiver end, Channel Encoder will transform the received channel code words into estimated source code words and pass them to #Source Encoder. In practice, Error Control Coding may be used in order to achieve acceptable performance.