PSEUDO-RANDOM NUMBER SEQUENCE OUTPUT UNIT, TRANSMITTER, RECEIVER, COMMUNICATION SYSTEM AND FILTER UNIT, PSEUDO-RANDOM NUMBER SEQUENCE OUTPUT METHOD, TRANSMISSION METHOD, RECEIVINGMETHOD AND FILTERING METHOD, AND DATA RECORDING MEDIUM

摘要

A pseudo-random number sequence output unit responsive to s (1~s) numbe r of prescribed positive integers q1, q2, ..., q s, a prescribed real impulse constant r (-1 r 1), and a prescribed non-zero real constant C for outputting a pseudo-random number sequence of length N (1~N) which output unit includes: an input acceptance section that accepts input of s (1~s) number of real number sequence initial values Y1, Y2, ..., Ys (-1 Y1 1, -1 Y2 1 , ..., -1 Y3 1), and s number of integer parameters p1, p2, ..., p s (2~p1, 2~p2, ... 2~p s) for which q1 mod p1 ~ 0, q2 mod p2 ~ 0 ..., q s mod p s ~ 0 respectively hold with respect to the prescribed positive integers q1, q2 ... q s; a calculation section that uses the prescribed real impulse constant r, the prescribed non-zero real constant C, the sequence initial values Y1, Y2, ... , Y s, the integer parameters p1, p2, ..., p s, the prescribed positive integers q1, q2 , ..., q s and integers j (1~j~s), m (1~m~2N-2) and n (1~n~2N-1) to calculate from the recurrence formula T p(cos.theta.) = T(p, cos.theta.) = cos(p.theta.) y j[1]=Y j y j[m+1]=T(p j, y j[m]) ~ a pseudo-random number sequence z'[1], z'[2], ..., z'[N] of length N that satisfies IMGS -45- an output section that outputs the pseudo-random number sequence z'[1], z'[2 ], ..., z'[N]. A transmitter, receiver and communication system that utilize the output unit, a filter unit, a pseudo-random number sequence output method, transmission method, receiving method and filtering method are provided. A computer-readable data recording medium recorded with a program for operating the transmitter, receiver, communication system and implementing the output, transmission and receiving methods is also provided.