No edit summary
|
No edit summary
|
||
Line 1: | Line 1: | ||
Block code is the primary type of [[channel coding]] which used earlier [[Mobile communication]] systems. Simply it adds redundancy so that at the receiver, one can decode theoritically |
Block code is the primary type of [[channel coding]] which used earlier [[Mobile communication]] systems. Simply it adds redundancy so that at the receiver, one can decode with (theoritically) probability of zero errors provided that the [[Rate]] would not exceed the [[Channel Capacity]]. |
||
In [[information theory]], a '''block code''' is a [[code]] which encodes strings formed from an alphabet set <math>S</math> into code words by encoding each letter of <math>S</math> separately. Let <math>(k_1,k_2,\ldots,k_m)</math> be a sequence of [[natural numbers]] each less than <math>|S|</math>. If <math>S={s_1,s_2,\ldots,s_n}</math> and a particular word <math>W</math> is written as <math>W=s_{k_1}s_{k_2}\ldots s_{k_m}</math>, then the code word corresponding to <math>W</math>, namely <math>C(W)</math>, is |
In [[information theory]], a '''block code''' is a [[code]] which encodes strings formed from an alphabet set <math>S</math> into code words by encoding each letter of <math>S</math> separately. Let <math>(k_1,k_2,\ldots,k_m)</math> be a sequence of [[natural numbers]] each less than <math>|S|</math>. If <math>S={s_1,s_2,\ldots,s_n}</math> and a particular word <math>W</math> is written as <math>W=s_{k_1}s_{k_2}\ldots s_{k_m}</math>, then the code word corresponding to <math>W</math>, namely <math>C(W)</math>, is |
Block code is the primary type of channel coding which used earlier Mobile communication systems. Simply it adds redundancy so that at the receiver, one can decode with (theoritically) probability of zero errors provided that the Rate would not exceed the Channel Capacity.
Ininformation theory, a block code is a code which encodes strings formed from an alphabet set into code words by encoding each letter of separately. Let be a sequence of natural numbers each less than . If and a particular word is written as , then the code word corresponding to , namely , is
.