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In coding theory, burst error-correcting codes employ methods of correcting burst errors, which are errors that occur in many consecutive bits rather than occurring in bits independently of each other.
Turbo coding is an iterated soft-decoding scheme that combines two or more relatively simple convolutional codes and an interleaver to produce a block code that can perform to within a fraction of a decibel of the Shannon limit.
Error-correcting codes are used in lower-layer communication such as cellular network, high-speed fiber-optic communication and Wi-Fi, [11] [12] as well as for reliable storage in media such as flash memory, hard disk and RAM. [13] Error-correcting codes are usually distinguished between convolutional codes and block codes:
In case the burst correction capability is exceeded, interpolation may provide concealment by approximation Simple decoder strategy possible with reasonably-sized external random access memory Very high efficiency
[1] [6] [9] They also include brief discussions of additional material not covered in more detail later, including information theory, convolutional codes, and burst error-correcting codes. [6] Chapter 3 presents the BCH code over the field (), and Chapter 4 develops the theory of finite fields more generally. [1] [6]
It is based on a Markov chain with two states G (for good or gap) and B (for bad or burst). In state G the probability of transmitting a bit correctly is k and in state B it is h . Usually, [ 4 ] it is assumed that k = 1.
Ie for DM is 301 % k is the size of the message % n is the total size (k+redundant) % Example: msg = uint8('Test') % enc_msg = rsEncoder(msg, 8, 301, 12, numel(msg)); % Get the alpha alpha = gf (2, m, prim_poly); % Get the Reed-Solomon generating polynomial g(x) g_x = genpoly (k, n, alpha); % Multiply the information by X^(n-k), or just pad ...
DRAM memory may provide increased protection against soft errors by relying on error-correcting codes. Such error-correcting memory, known as ECC or EDAC-protected memory, is particularly desirable for highly fault-tolerant applications, such as servers, as well as deep-space applications due to increased radiation.