Output apparatus, transmitter, receiver, communications system for outputting, transmitting and receiving a pseudorandom noise sequence, and methods for outputting, transmitting receiving pseudorandom noise sequences and data recording medium

A method of outputting a Pseudorandom Noise sequence having a length N (1≦N) and being generated using a Chebyshev polynomial

• T(a, cos θ)=cos(aθ), for an integer a (2≦a),
• said method comprising:
• an accepting step of accepting
• an S (1≦S) number of initial values each of which is larger than −1 and less than 1
• X1, X2, . . . , Xs, and
• an S number of degrees each of which is an integral number equal to or larger than 2
• p1, p2, . . . , ps;
• a calculation step of calculating a Pseudorandom Noise sequence having a length N
• z[1], z[2], . . . , z[N]
• using the accepted initial values, the degrees and recurrence formulas
• xj[1]=Xj,
• xj[m+1]=T(pj[m]), and
• z[n]=Πj=1sT(pj, xj[n]);
• and
• an output step of outputting the calculated Pseudorandom Noise sequence.

A computer readable data recording medium which records a program for realizing a process of outputting a Pseudorandom Noise sequence having a length N (1≦N) and being generated using a Chebyshev polynomial

• T(a, cos θ)=cos(aθ), for an integer a (2≦a),
• said program:
• accepts
• an S (1≦S) number of initial values each of which is a real number larger than −1 and less than 1
• X1, X2, . . . Xs, and
• an S number of degrees each of which is an integral number equal to or larger than 2
• p1, p2, . . . , ps;
• calculates a Pseudorandom Noise sequence having a length N
• z[1], z[2], . . . , z[N]
• using the accepted initial values, the degrees and recurrence formulas
• xj[1]−Xj,
• xj[m+1]=T(pj, xj[m]), and
• z[n]=Πj=1sT(pj, xj[n]);
• and
• outputs the calculated Pseudorandom Noise sequence.

A computer data signal embodied in a carrier wave, in order to output a Pseudorandom Noise sequence having a length N (1≦N) and being generated using a Chebyshev polynomial

• T(a, cos θ)=cos(aθ), for an integer a (2≦a),
• said data signal processed in a computer to:
• accept
• an S (1≦S) number of initial values each of which is a real number larger than −1 and less than 1
• X1, X2, . . . , Xs, and
• an S number of degrees each of which is an integral number equal to or larger than 2
• p1, p2, . . . , ps;
• calculate a Pseudorandom Noise sequence having a length N
• z[1], z[2], . . . , z[N]
• using the accepted initial values, the degrees and recurrence formulas
• xj[1]−Xj,
• xj[m+1]=T(pj, xj[m]), and
• z[n]=Πj=1sT(pj, xj[n]);
• and
• output the calculated Pseudorandom Noise sequence.