Apparatus and method for generating chaotic signals and chaos device

• US 5,506,795 A
• Filed: 02/18/1993
• Issued: 04/09/1996
• Est. Priority Date: 02/21/1992
• Status: Expired due to Fees

• Current Assignee: Takeshi Yamakawa
• Original Assignee: Takeshi Yamakawa
• Inventors: Yamakawa, Takeshi
• Primary Examiner(s): Voeltz, Emanuel T.
• Assistant Examiner(s): Miller, Craig S.
• Application Number:
  US08/019,134
• Time in Patent Office: 1,146 Days
• Field of Search: 364/524, 364/514, 364/709.05, 364/715.01, 364/717, 364/718, 364/801-802, 364/808, 307/1, 380/46, 331/78
• US Class Current: 708/250
• CPC Class Codes: G06G 7/26 Arbitrary function generators using Fourier series or other orthogonal functions G06G7/19; using curve followers G06K11/02
• CPC Class Codes: H03B 29/00 Generation of noise currents and voltages gasfilled discharge tubes with solid cathode specially adapted as noise generators H01J17/005

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 Δt, the delay, nonlinear operation, coefficient multiplication, and addition are repeated.

Claims

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; and

an 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. 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; and

an 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. 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; and

an 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. 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; and

an 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. 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; and

an 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. 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; and

an 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. 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; and

an 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. 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; and

an 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. 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; and

an 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. 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; and

an 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.