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Thus, encoding/decoding is the translation needed for a message to be easily understood. When you decode a message, you extract the meaning of that message in ways to simplify it. Decoding has both verbal and non-verbal forms of communication: Decoding behavior without using words, such as displays of non-verbal communication.
In coding theory, decoding is the process of translating received messages into codewords of a given code. There have been many common methods of mapping messages to codewords. These are often used to recover messages sent over a noisy channel, such as a binary symmetric channel.
A natural concept for a decoding algorithm for concatenated codes is to first decode the inner code and then the outer code. For the algorithm to be practical it must be polynomial-time in the final block length. Consider that there is a polynomial-time unique decoding algorithm for the outer code.
Proof [3]; The capacity is defined as the maximum mutual information between input and output for all possible input distributions (): = {(;)} The mutual information can be reformulated as
The sliding application represents the 'convolution' of the encoder over the data, which gives rise to the term 'convolutional coding'. The sliding nature of the convolutional codes facilitates trellis decoding using a time-invariant trellis. Time invariant trellis decoding allows convolutional codes to be maximum-likelihood soft-decision ...
In coding theory, a parity-check matrix of a linear block code C is a matrix which describes the linear relations that the components of a codeword must satisfy. It can be used to decide whether a particular vector is a codeword and is also used in decoding algorithms.
A codec is a computer hardware or software component that encodes or decodes a data stream or signal. [1] [2] [3] Codec is a portmanteau of coder/decoder.[4]In electronic communications, an endec is a device that acts as both an encoder and a decoder on a signal or data stream, [5] and hence is a type of codec.
Sub-band coding and decoding signal flow diagram. In signal processing, sub-band coding (SBC) is any form of transform coding that breaks a signal into a number of different frequency bands, typically by using a fast Fourier transform, and encodes each one independently. This decomposition is often the first step in data compression for audio ...