Encoding arrangement and encoding apparatus for encoding a sequence of (N-1)-bit information words into a sequence of N-bit channel words and a decoding arrangement for decoding a sequence of N-bit channel words into a sequence of (N-1) bit information words)

摘要

(n-1)-bit information word with a sequence of n-bit channel words, the apparatus comprising input means (1) for receiving an information word, (n-1) conversion means 2 for converting the channel words into n-bit channel words, and output means 3 for supplying channel words. The conversion means (2) are adapted to convert n weighted vector coefficients w_i(Where i is an integer variable having a value from 1 to n), and (ii) a weighted vector supplying unit that supplies a weighted vector having a variable parameter j is set equal to n; (b) the information word value is set to a weighted vector coefficient w_j, And if so, sets the binary value to '0' at the bit position j of the channel word and sets the weighting factor w_jSubtracting the value of the information word from the value of the information word to obtain a new value of the information word; otherwise, setting the binary value to ' 1 & _nAnd a weighted vector coefficient of a minimum value having a subscript j of degree to a decoding apparatus for decoding a sequence of n-bit channel words into a sequence of (n-1) bit information words,-1) times by repeating the step (b), and performing calculation using the information word to obtain a channel word. According to the present invention, the weighted vector coefficient supply means (7) calculates the weighted vector coefficient w_i, The remaining (n-1-p) bits of the (n-1)-bit weighted vector are used to provide the next, or before, or before, and after And p is an integer variable greater than 1 and less than n-1.