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US5506795: Apparatus and method for generating chaotic signals and chaos device

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Filing Information

Inventor(s) Takeshi Yamakawa ·
Assignee(s) None listed in document.
Attorney/Agent(s) Loeb and Loeb ·
Primary Examiner Emanuel T. Voeltz ·
Assistant Examiner Craig S. Miller ·
Application Number US8019134
Filing date 02/18/1993
Issue date 04/09/1996
Predicted expiration date 02/18/2013
U.S. Classifications 364/717  · 364/524  ·
International Classifications H04L 904  ·
Kind CodeA
International Classifications 364524;514;709.05;715.01;717;718;801-802;808 ·
Foreign Priority JP4035042 - 02/21/1992 ·
10 Claims, No Drawings


Abstract

In order to provide an apparatus and method generating chaotically behaving signals or data, a plurality of delay elements 10 to 14 are connected in series, and an output of the foremost delay element 10 is supplied to a nonlinear function element 30, while outputs of the other delay elements 11 to 14 are supplied to coefficient elements 41 to 44, respectively. The outputs of the nonlinear function element 30 and coefficient elements 41 to 44 are summed at an adding element 50, and the resultant sum is fedback to the foremost delay element 10. Initializing elements 20 to 24 release their respective initial values at one time to thereby initiate the operation. At an appropriate period of time .DELTA.t, the delay, nonlinear operation, coefficient multiplication, and addition are repeated.

Independent Claims | See all claims (10)

  1. 1. An apparatus for generating chaotic signals, comprising:a plurality of delay means for delaying input signals in sequence by a predetermined period of time;a nonlinear function means for converting through a nonlinear function a signal derived from at least one of said delay means;a coefficient means for multiplying signals derived from at least one of said delay means by a predetermined coefficient:an adding means for adding signals derived from said nonlinear function means and coefficient means;an initializing means for conferring initial values on said delay means at the time of initiation of operation; andan output terminal connected to an output of one of: one of said delay means; said nonlinear function means; said coefficient means; said adding means; and said initializing means for supplying an output chaotic signal;output of said adding means being fed back to a foremost one of said plurality of delay means.
  2. 2. An apparatus for generating chaotic signals, comprising:a plurality of delay means for delaying input signals in sequence by a predetermined period of time;a nonlinear function means for converting through a nonlinear function a signal derived from at least one of said delay means;a coefficient means for multiplying signals derived from at least one of said delay means by a predetermined coefficient:an adding means for adding signals derived from said nonlinear function means and coefficient means;an initializing means for conferring initial values on said nonlinear function means and said coefficient means at the time of initiation of operation; andan output terminal connected to an output of one of: one of said delay means; said nonlinear function means; said coefficient means; said adding means; and said initializing means for supplying an output chaotic signal;output of said adding means being fed back to a foremost one of said plurality of delay means.
  3. 3. An apparatus for generating chaotic signals, comprising:a plurality of delay means for delaying input signals in sequence by a predetermined period of time;a nonlinear function means for converting through a nonlinear function a signal derived from at least one of said delay means;a coefficient means for multiplying signals derived from at least one of said delay means by a predetermined coefficient:an adding means for adding signals derived from said nonlinear function means and coefficient means;an initializing means for conferring initial values on said adding means at the time of initiation of operation; andan output terminal connected to an output of one of: one of said delay means; said nonlinear function means; said coefficient means; said adding means; and said initializing means for supplying an output chaotic signal;output of said adding means being fed back to a foremost one of said plurality of delay means.
  4. 4. A chaos device comprising:a plurality of delay circuits for delaying input signals in sequence by an infinitesimal period of time;a nonlinear function circuit for converting through a nonlinear function a signal derived from at least one of said delay circuits;a coefficient circuit for multiplying signals derived from at least one of said delay circuits by a predetermined coefficient;an adding circuit for adding signals derived from said nonlinear function circuit and said coefficient circuit;an initializing circuit for conferring initial values on said delay circuits at the time of initiation of operation; andan output terminal connected to an output of one of: one of said delay circuits; said nonlinear function circuit; said coefficient circuit; said adding circuit; and said initializing circuit for supplying an output chaotic signal;output of said adding circuit being fed back to a foremost one of said plurality of delay circuits.
  5. 5. A chaos device comprising:a plurality of delay circuits for delaying input signals in sequence by an infinitesimal period of time;a nonlinear function circuit for converting through a nonlinear function a signal derived from at least one of said delay circuits;a coefficient circuit for multiplying signals derived from at least one of said delay circuits by a predetermined coefficient;an adding circuit for adding signals derived from said nonlinear function circuit and said coefficient circuit;an initializing circuit for conferring initial values on said nonlinear function circuit and said coefficient circuit at the time of initiation of operation; andan output terminal connected to an output of one of: one of said delay circuits; said nonlinear function circuit; said coefficient circuit; said adding circuit; and said initializing circuit for supplying an output chaotic signal;output of said adding circuit being fed back to a foremost one of said plurality of delay circuits.
  6. 6. A chaos device comprising:a plurality of delay circuits for delaying input signals in sequence by an infinitesimal period of time;a nonlinear function circuit for converting through a nonlinear function a signal derived from at least one of said delay circuits;a coefficient circuit for multiplying signals derived from at least one of said delay circuits by a predetermined coefficient;an adding circuit for adding signals derived from said nonlinear function circuit and said coefficient circuit;an initializing circuit for conferring initial values on said adding circuit at the time of initiation of operation; andan output terminal connected to an output of one of: one of said delay circuits; said nonlinear function circuit; said coefficient circuit; said adding circuit; and said initializing circuit for supplying an output chaotic signal;output of said adding circuit being fed back to a foremost one of said plurality of delay circuits.
  7. 7. An apparatus for generating chaotic signals, comprising:a plurality of delay means for delaying input signals in sequence by a predetermined period of time;a plurality of nonlinear function means for converting signals derived from at least one of said delay means through their respective nonlinear functions;an adding means for adding signals derived from said plurality of nonlinear function means;an initializing means for conferring initial values on said delay means at the time of initiation of operation; andan output terminal connected to an output of one of: one of said delay means; one of said nonlinear function means; said adding means; and said initializing means for supplying an output chaotic signal;output of said adding means being fed back to a foremost one of said plurality of delay means.
  8. 8. An apparatus for generating chaotic signals, comprising:a plurality of delay means for delaying input signals in sequence by a predetermined period of time;a plurality of nonlinear function means for converting signals derived from at least one of said delay means through their respective nonlinear functions;an adding means for adding signals derived from said plurality of nonlinear function means;an initializing means for conferring initial values on said nonlinear function means at the time of initiation of operation; andan output terminal connected to an output of one of: one of said delay means; one of said nonlinear function means; said adding means; and said initializing means for supplying an output chaotic signal;output of said adding means being fed back to a foremost one of said plurality of delay means.
  9. 9. A chaos device comprising:a plurality of delay circuits for delaying input signals in sequence by an infinitesimal period of time;a plurality of nonlinear function circuits for converting signals derived from said delay circuits through their respective predetermined nonlinear functions;an adding circuit for adding signals derived from said plurality of nonlinear function circuits;an initializing circuit for conferring initial values on said delay circuits at the time of initiation of operation; andan output terminal connected to an output of one of: one of said delay circuits; one of said nonlinear function circuits; said adding circuit; and said initializing circuit for supplying an output chaotic signal;output of said adding circuit being fed back to a foremost one of said plurality of delay circuits.
  10. 10.10. A chaos device comprising:a plurality of delay circuits for delaying input signals in sequence by an infinitesimal period of time;a plurality of nonlinear function circuits for converting signals derived from said delay circuits through their respective predetermined nonlinear functions;an adding circuit for adding signals derived from said plurality of nonlinear function circuits;an initializing circuit for conferring initial values on said nonlinear function circuits at the time of initiation of operation; andan output terminal connected to an output of one of: one of said delay circuits; one of said nonlinear function circuits; said adding circuit; and said initializing circuit for supplying an output chaotic signal;output of said adding circuit being fed back to a foremost one of said plurality of delay circuits.

References Cited

U.S. Patent Documents

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Foreign Patent Documents

Document NumberAssigneesInventorsIssue/Pub Date
EP0467239Hughes Aircraft CompanyJan 1992
JP1147657Jun 1989
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JP4221937Aug 1992
JP4260923Sep 1992

Other Publications

"Chaos-Basis and Application of Chaos Theory", Kazuyuki Aihara, 1990, Science Co., Ltd publisher.
"Mathematical Science", May 1989 No. 311, Science Co., Ltd. publisher.
"Computer Today", Jul. 1989, No. 32, Science Co., Ltd. publisher.
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Maruyama et al., "Chaos in an Auto Gain Controlled Oscillator Containing Time Delay", 1989, Transactions of the Inst. of Electronics, Information, and Communication Engineers vol. J72A No. 11.

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