Patent ID: 6654404
Filing Date: 2003-11-25
Classification: H04J

Abstract:
A system for outputting pseudorandom noise sequences, based on preset elliptic function s(â€¢), a real number X (where âˆ’1said natural number obtainer in said first output apparatus obtains a natural number p, said transmission value calculator in said first output apparatus calculates a value Y=F(p,X), said transmitter in said first output apparatus transmits the value Y to said second output apparatus, said natural number obtainer in said second output apparatus obtains a natural number q, said receiver in said second output apparatus receives the value Y transmitted by said transmitter in said first output apparatus, said initial value calculator in said second output apparatus calculates an initial value Z=F(q,Y), said degree obtainer in said second output apparatus obtains a degree â€œsâ€ , said sequence output unit in said second output apparatus repeatedly applies the Chebyshev map T(s,â€¢) to the initial value Z, and outputs the following pseudorandom noise sequence having the predetermined length: Z, T(s,Z), T(s,T(r,Z)), T(s,T(s,T(s,Z))), . . . said transmission value calculator in said second output apparatus calculates a value Yâ€²=F(q,X), said transmitter in said second output apparatus transmits the value Yâ€² to said first output apparatus, said receiver in said first output apparatus receives the value Yâ€² transmitted by said transmitter in said second output apparatus, said initial value calculator in said first output apparatus calculates an initial value Zâ€²F(p,Yâ€²), said degree obtainer in said first output apparatus obtains a degree â€œrâ€ , and said sequence output unit in said first output apparatus repeatedly applies the Chebyshev map T(r,â€¢) to the initial value Zâ€², and outputs the following pseudorandom noise sequence having the predetermined length: Zâ€², T(r,Zâ€²), T(r,T(r,Zâ€²)), T(r,T(r,T(r,Zâ€²))), . . . F&it;â€ƒ&it;(n,s&it;â€ƒ&it;(x))=s&it;â€ƒ&it;(nx)&it;â€ƒ&it;(n&it;  is  a  natural  number  equal&NewLine;to  or  greater  than  2)Equation&it;â€ƒ&it;5T&it;â€ƒ&it;(n,cos&it;â€ƒ&it;x)=cos&it;â€ƒ&it;nx&it;â€ƒ&it;(n&it;â€ƒ&it;is  a  natural  number  equal&NewLine;to  or  greater  than  2).&it;â€ƒEquation&it;â€ƒ&it;6