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As with ideal observer decoding, a convention must be agreed to for non-unique decoding. The maximum likelihood decoding problem can also be modeled as an integer programming problem. [1] The maximum likelihood decoding algorithm is an instance of the "marginalize a product function" problem which is solved by applying the generalized ...
In information theory and coding theory, linear programming decoding (LP decoding) is a decoding method which uses concepts from linear programming (LP) theory to solve decoding problems. This approach was first used by Jon Feldman et al. [ 1 ] They showed how the LP can be used to decode block codes.
As a linear subspace of , the entire code C (which may be very large) may be represented as the span of a set of codewords (known as a basis in linear algebra).These basis codewords are often collated in the rows of a matrix G known as a generating matrix for the code C.
Since the source is only 4 bits then there are only 16 possible transmitted words. Included is the eight-bit value if an extra parity bit is used (see Hamming(7,4) code with an additional parity bit).
the line-coded signal can be used to turn on and off a light source in free-space optical communication, most commonly used in an infrared remote control. the line-coded signal can be printed on paper to create a bar code. the line-coded signal can be converted to magnetized spots on a hard drive or tape drive.
The Subaru EJ engine is a series of four-stroke automotive engines manufactured by Subaru. They were introduced in 1989, intended to succeed the previous Subaru EA engine . The EJ series was the mainstay of Subaru's engine line, with all engines of this series being 16-valve horizontal flat-fours , with configurations available for single, or ...
Decoding is usually done by a simple majority decision for each code word. That lead us to 100 as the decoded information bits, because in the first and second code word occurred less than two errors, so the majority of the bits are correct. But in the third code word two bits are corrupted, which results in an erroneous information bit, since ...
Lexicographic code: Order the vectors in V lexicographically (i.e., interpret them as unsigned 24-bit binary integers and take the usual ordering). Starting with w 0 = 0, define w 1, w 2, ..., w 12 by the rule that w n is the smallest integer which differs from all linear combinations of previous elements in at least eight coordinates.