CN101030848A - Enciphering telecommunicating experimental apparatus based on chaos synchronization and its usage - Google Patents

Enciphering telecommunicating experimental apparatus based on chaos synchronization and its usage Download PDF

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CN101030848A
CN101030848A CN 200710098488 CN200710098488A CN101030848A CN 101030848 A CN101030848 A CN 101030848A CN 200710098488 CN200710098488 CN 200710098488 CN 200710098488 A CN200710098488 A CN 200710098488A CN 101030848 A CN101030848 A CN 101030848A
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circuit
chaotic
signal
chaos
chaotic signal
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CN100534032C (en
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肖井华
代琼琳
王世红
程洪艳
李海红
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Beijing University of Posts and Telecommunications
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Beijing University of Posts and Telecommunications
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Abstract

The device controlling circuit comprises an adder, a one-way coupling circuit, a subtraction circuit, a filter circuit, a sending end, a chaotic signal generating circuit, and a multi switches on the control panel. Its method can be used in four experiment contents: observing the chaotic signals; observing the synchronism of the chaotic signals; using encryption method of chaotic signals to encrypt communication experiment; using chaotic keyed encryption method to make encryption communication experiment for the digital signals. The invention can be used in the educations about the features of chaotic signals and the yielding of chaotic signals.

Description

Based on chaos synchronous enciphering telecommunicating experimental apparatus and using method thereof
Technical field
The present invention relates to a kind of experiment teaching instrument and using method thereof of special purpose, exactly, relate to a kind of laboratory apparatus and using method thereof of utilizing the coded communication that chaotic signal carries out numeral and analog signal, belong to the model that teaching of electronic communication science or technique drill use or the technical field of experimental provision.
Background technology
1963, Lorenz found chaos attractor, had discussed the sensitiveness of this attractor to initial value with sufficient data.After this approximately through about 20 years, because many science learners' joint efforts, set up one finally almost across the chaology of all subjects.
It with the chaology scientific revolution for the third time since the nonlinear science of one of core is described as continue this century the theory of relativity and quantum mechanics.Since the eighties of last century the eighties, the application study tide of chaos has appearred in person in electronics, wherein, be that chaos circuit and systematic research, the chaos of representative all is the focus of various countries' scholar's research with application, the problems such as application, chaotic Signals Processing, fractal data compression and chaotic neural network of chaos in spread spectrum communication of control theory in communicating by letter synchronously with the Cai Shi dual circuit.
Because chaotic signal has aperiodic, continuously broadband, noise like and long-term characteristics such as unpredictable, so be specially adapted to fields such as secure communication, spread spectrum communication.Since nineteen ninety, chaotic communication and chaos encryption technology have become a heat subject of international electronic communication field.Utilizing synchronous chaos to carry out aspect the research of coded communication, proposing up to now and developed three big encryption technologies: chaos is covered, Chaos Modulation and chaos shift keying.Wherein chaos is covered and is claimed masked by chaos or chaos to hide, and is a kind of chaos-based secure communication mode that early proposes; Its basic thought is to utilize chaotic signal to hide signal or cover the information that will transmit as carrier at transmitting terminal, makes that message signale is difficult to extract from mixed signal, thereby realizes coded communication.At receiving terminal, then utilize the chaotic signal deciphering synchronous with transmitting terminal, recover the information that transmitting terminal transmits.The chaos shift keying method then belongs to the chaos digital communication technology, is the parameter of utilizing the digital signal modulation transmitting terminal chaos system that is sent, and it is switched in two values, and information is coded in two chaos attractors; Receiving terminal then is made of the chaos system identical with transmitting terminal, judges the message that is sent by detecting to send with reception chaos synchronization error.
In the last few years, because chaos-based secure communication is popular research topic always, therefore, the various laboratory apparatuss of observation and understanding chaos phenomenon were very universal in colleges and universities.But the experiment and the instrument and equipment thereof that utilize chaotic signal to carry out coded communication but are in space state in the education experiment of each colleges and universities at home.Therefore, develop a kind of laboratory apparatus that utilizes chaos technology to carry out coded communication, so that utilize this instrument in colleges and universities, to offer the new problem that chaos-based secure communication experiment course just becomes many science and technology in the industry, faculty's concern.
Summary of the invention
In view of this, the purpose of this invention is to provide a kind of based on chaos synchronous enciphering telecommunicating experimental apparatus and using method thereof, so that this experimental provision is incorporated in the college experiment teaching, by operation simply and easily, make the student can understand the basic characteristics of chaotic signal and the production method of chaotic signal, and the chaotic signal that utilizes this device to produce carry out the coded communication experiment of digital signal and analog signal respectively directly perceived, perceptually.
In order to achieve the above object, the invention provides a kind of based on the synchronous enciphering telecommunicating experimental apparatus of chaos, it is characterized in that: the control circuit of described device comprises six circuit modules: add circuit, the unidirectional couplings circuit, subtraction circuit, filter circuit, the chaotic signal of transmitting terminal produces circuit, the chaotic signal of receiving terminal produces circuit, and button is positioned at a plurality of switches on the control panel, wherein: two chaotic signal generation circuit structures are identical, two inputs of add circuit are used separately as the output (A) of input end of analog signal and the chaotic signal generation circuit that is connected transmitting terminal by switch (S1), the output (B) of the chaotic signal generation circuit of this transmitting terminal then is connected to the input of unidirectional couplings circuit, the output of this unidirectional couplings circuit is connected to the signal input part (C) of the chaotic signal generation circuit of receiving terminal via switch (S3), the output (D) of the chaotic signal generation circuit of receiving terminal is connected to an input of subtraction circuit via switch (S2), another input of this subtraction circuit then connects the output of add circuit by switch (S4), the output of described unidirectional couplings circuit (E), (F) respectively via switch (S6), (S7) be connected to two inputs of subtraction circuit, the output of this subtraction circuit is connected to the input of filter circuit, and the output of this filter circuit is total output of this device.
In the control circuit of described device, be serially connected with switch (S5) between inductance element in the chaotic signal of the transmitting terminal generation circuit and the ground, produce on circuit so that digital signal can be loaded into this chaotic signal.
It is cai's circuit that described two chaotic signals produce circuit: two electric capacity composition " ∏ " type circuit at a variable resistor and its two ends, again on these two electric capacity respectively and connect an inductance and a nonlinear resistance; Wherein nonlinear resistance is made up of two amplifiers and peripheral resistance thereof.
Isolator and variable potentiometer that described unidirectional couplings circuit is made up of operational amplifier are formed, and wherein isolator is used to realize unidirectional couplings, and variable potentiometer is as coupling resistance, so that realize stiffness of coupling control.
On the control panel of described device, also be provided with a plurality of terminals jacks of the input/output signal of supply socket, battery main switch and described six circuit modules.
All be serially connected with isolator between output that the chaotic signal of described transmitting terminal produces between the output and add circuit of circuit, the chaotic signal of receiving terminal produces circuit and the subtraction circuit and between the chaotic signal generation circuit of digital signal input end and transmitting terminal, this isolator is identical with isolator circuit structure in the unidirectional couplings circuit, all is made up of operational amplifier.
In order to achieve the above object, the present invention also provides a kind of using method based on the synchronous enciphering telecommunicating experimental apparatus of chaos, it is characterized in that: comprise following operating procedure:
(1) observe chaotic signal: the switch (S5) that the transmitting terminal chaotic signal is produced circuit is got to closure state, and all the other each switches are all got to off-state, then this device is powered up, connect output and the oscillographic input that the transmitting terminal chaotic signal produces circuit respectively with cable, by regulating the variable resistor R or the inductance L of this chaotic signal generation circuit, observe this chaotic signal and produce various chaos phenomenons or the phasor that circuit produces;
(2) synchronia of observation chaotic signal: regulate variable resistor R or inductance L respectively, it is identical or close and be in the chaos operating state to make two chaotic signals of transmitting terminal and receiving terminal produce the circuit parameter of circuit, again with connection switch (S3) closure of unidirectional couplings circuit, and regulate coupling resistance R CSize, utilize oscilloscope to observe this two chaotic signals and produce circuit and realize synchronous phenomenons;
(3) encryption method of covering with chaos is carried out the coded communication experiment to analog signal: respectively closed following three connection switches: the transmitting terminal chaotic signal produces the output of circuit and the switch S 1 of add circuit input, the receiving terminal chaotic signal produces the output of circuit and the switch S 2 of subtraction circuit input, and the switch S between add circuit and the subtraction circuit 4, import analog signal at another input of add circuit again, after making it in this add circuit, to realize that chaos is covered, send into subtraction circuit, so that utilize subtraction circuit and synchronous chaotic signal to recover original analog signal, utilize oscilloscope to observe signal and the original analog signal of behind filter circuit, exporting again;
(4) with the encryption method of chaos shift keying digital signal is carried out the coded communication experiment: open the switch S 5 in the transmitting terminal chaotic signal generation circuit, and to its supplied with digital signal, distinguish two switch S 6, S7 between closed unidirectional couplings circuit output end (E), (F) and two inputs of subtraction circuit again, and regulate coupling resistance R CTo 600-1200 ohm, make the signal at coupling resistance two ends subtract, can behind filter circuit, utilize oscilloscope observation post signal that recovers and the digital signal of importing originally by output.
Sequential between the operating procedure of described method (3), (4) is arranged side by side, the operating procedure of promptly observing the coded communication experiment of the analog signal that chaos covers is in proper order: step (1), (2), (3), and the operating procedure of coded communication experiment of observing the digital signal of chaos shift keying is in proper order: (1), (2), (4); Wherein step (1), (2) both can be used as the basis or the preorder operation of coded communication experiment, also can be used as independently experimental implementation content.
In the described step (1), the chaos phenomenon that produces circuit with the observed transmitting terminal chaotic signal of oscilloscope includes: period doubling bifurcation, period windows, by period doubling bifurcation to chaos, single suction introduction, double suction introduction, intermittency chaos.
In the described step (2), at the coupling resistance R that regulates the unidirectional couplings circuit CThe time, R CResistance more little, stiffness of coupling is strong more, synchronous effect is good more: when resistance was zero, synchronous effect was best; Work as R CResistance when being infinitely great, then these resistance two ends are in off-state, not coupling can be not synchronous.
The present invention is a kind of laboratory apparatus and using method thereof of utilizing the coded communication that chaotic signal carries out numeral and analog signal, and the circuit structure of this instruments used for education device is simple, has only used very a spot of circuit module to make, and is with low cost, penetration and promotion easily.The present invention is used for the college experiment teaching course, makes the student to chaos phenomenon and utilize chaos-based secure communication that integral body understanding is arranged, and makes the student understand the forward position of development in science and technology, promotes the development of chaos-based secure communication experiment in colleges and universities with this.In addition, the experiment content that apparatus of the present invention provide is abundant, and when specifically implementing, experiment content can be selected flexibly, make up, and can satisfy different levels student's requirement.
Description of drawings
Fig. 1 is the circuit theory diagrams that the present invention is based on the synchronous enciphering telecommunicating experimental apparatus of chaos.
Fig. 2 is the panel schematic diagram that the present invention is based on the synchronous enciphering telecommunicating experimental apparatus of chaos.
Fig. 3 is the nonlinear resistance Rn circuit structure diagram among Fig. 1.
Fig. 4 is the using method operating procedure block diagram that the present invention is based on the synchronous enciphering telecommunicating experimental apparatus of chaos.
Fig. 5 is the experiment content circuit connection diagram of the present invention's synchronia of observing chaotic signal.
Fig. 6 covers the experiment content circuit connection diagram of analog signal being carried out coded communication with chaos.
Fig. 7 is the experiment content circuit connection diagram of digital signal being carried out coded communication with chaos shift keying.
Embodiment
For making the purpose, technical solutions and advantages of the present invention clearer, the present invention is described in further detail below in conjunction with accompanying drawing.
Referring to Fig. 1, the present invention is based on the synchronous enciphering telecommunicating experimental apparatus of chaos and comprise six circuit modules: the chaotic signal generation circuit 2 that the chaotic signal of two identical transmitting terminals of circuit structure produces circuit 1 and receiving terminal (all is that circuit structure is simple, the cai's circuit that the chaos phenomenon that is produced is abundant), unidirectional couplings circuit 3, add circuit 4, subtraction circuit 5, filter circuit 6, and button is positioned at 7 switch S 1~S7 on the control panel, wherein be serially connected with switch S 5 between inductance element and the ground in the chaotic signal of the transmitting terminal generation circuit 1, two inputs of add circuit are used separately as the output (A) of input end of analog signal and the chaotic signal generation circuit 1 that is connected transmitting terminal by switch S 1, the output (B) of the chaotic signal generation circuit 1 of this transmitting terminal is connected to the input of unidirectional couplings circuit 3, the output of this unidirectional couplings circuit 3 is connected to the signal input part (C) of the chaotic signal generation circuit 2 of receiving terminal via switch S 3, the output (D) of the chaotic signal generation circuit 2 of receiving terminal is connected to an input of subtraction circuit 5 via switch S 2, another input of this subtraction circuit 5 is connected to the output of add circuit 4 by switch S 4, the output of unidirectional couplings circuit 3 (E), (F) respectively via switch S 6, S7 is attempted by two inputs of subtraction circuit 5, the output of this subtraction circuit 5 is connected to the input of filter circuit 6, and the output of filter circuit 6 is total outputs of this device.
It all is cai's circuit that two chaotic signals in apparatus of the present invention produce circuit 1,2: two capacitor C 1 at a variable resistor and its two ends, C2 composition " ∏ " type circuit, again on these two electric capacity respectively and meet an inductance L and a nonlinear resistance Rn; Wherein nonlinear resistance Rn is formed (referring to Fig. 3) by two amplifiers and peripheral 6 resistance thereof.Isolator and variable potentiometer Rc that unidirectional couplings circuit 3 is made up of operational amplifier form, and wherein isolator is used to realize unidirectional couplings, and potentiometer Rc is as coupling resistance, so that realize stiffness of coupling control.
Referring to Fig. 2, on the control panel of experimental provision of the present invention, each relevant components and parts of foregoing circuit have been drawn intuitively, in addition, also be provided with a plurality of terminals jacks (representing with hollow small circle and the small circle that has oblique line respectively) of the input/output signal of supply socket, battery main switch and above-mentioned six circuit modules.
For the adverse effect of bringing for each circuit owing to the plug connection cable can be reduced to minimum in experimentation, all be serially connected with the isolator of being made up of operational amplifier between output that apparatus of the present invention produce between the output and add circuit 4 of circuit 1 at the chaotic signal of transmitting terminal, the chaotic signal of receiving terminal produces circuit 2 and the subtraction circuit 5 and between the chaotic signal generation circuit of digital signal input end and transmitting terminal, this isolator is identical with isolator circuit structure in the unidirectional couplings circuit.
Referring to Fig. 4, introduce the using method that the present invention is based on the synchronous enciphering telecommunicating experimental apparatus of chaos, its operating procedure is as follows:
(1) observe chaotic signal: the switch S 5 that the transmitting terminal chaotic signal is produced circuit is got to closure state, and all the other each switches are all got to off-state, then this device is powered up, connect output and the oscillographic input that the transmitting terminal chaotic signal produces circuit respectively with cable, by regulating the variable resistor R or the inductance L of this chaotic signal generation circuit, can utilize oscilloscope to observe this chaotic signal and produce various chaos phenomenons or the phasor (voltage signal on capacitor C 1 and the capacitor C 2 that circuit produces, comprise period doubling bifurcation, period windows, arrive chaos by period doubling bifurcation, the single suction introduction, the double suction introduction, phenomenons such as intermittency chaos), the characteristics of understanding chaotic signal.
(2) utilization produces circuit and receiving terminal chaotic signal generation circuit as the transmitting terminal chaotic signal of drive system and responding system respectively, and the unidirectional couplings circuit between them carries out chaos and tests synchronously, observe the synchronia (its experimental circuit as shown in Figure 5) of chaotic signal: regulate variable resistor R or inductance L respectively, it is basic identical and be in the chaos operating state to make two chaotic signals of transmitting terminal and transmitting terminal produce the circuit parameter of circuit, with connection switch S 3 closures of unidirectional couplings circuit, regulate coupling resistance R again CSize, utilize oscilloscope to observe this two chaotic signals and produce circuit and realize synchronous phenomenons.When regulating the unidirectional couplings circuit, R CResistance more little, stiffness of coupling is strong more, synchronous effect is good more: when resistance was zero, synchronous effect was best; Work as R CResistance when being infinitely great, then these resistance two ends are in off-state, not coupling can be not synchronous.
(3) encryption method of covering with chaos is carried out coded communication experiment (its experimental circuit as shown in Figure 6) to analog signal: in an input input analog signal of add circuit, respectively closed more following three connection switches: the transmitting terminal chaotic signal produces the output of circuit and the switch S 1 (chaotic signal is input to another input of add circuit) of add circuit input, switch S 4 between add circuit and the subtraction circuit (so that will be by realizing the output signal after chaos is covered after the add circuit addition---by the covered signal of chaotic signal, be input to an input of subtraction circuit), the receiving terminal chaotic signal produces the output of circuit and the switch S 2 (synchronous chaotic signal being input to another input of subtraction circuit) of subtraction circuit input, so that utilize subtraction circuit and synchronous chaotic signal to recover original simulation message signale, signal that utilizes oscilloscope to observe again behind filter circuit, to export and original analog signal;
(4) with the encryption method of chaos shift keying digital signal is carried out coded communication experiment (its experimental circuit as shown in Figure 7): disconnect the switch S 5 in the transmitting terminal chaotic signal generation circuit, and to its supplied with digital signal, distinguish two switch S 6, S7 between two inputs of closed unidirectional couplings circuit two ends and subtraction circuit again, and regulate coupling resistance R CTo 600~1200 ohm, make the signal at coupling resistance two ends subtract, can behind filter circuit, utilize the signal of oscilloscope observation post recovery and the digital signal of original input by output.
Sequential between the operating procedure of the inventive method (3), (4) is arranged side by side, the operating procedure of promptly observing the coded communication experiment of the analog signal that chaos covers is in proper order: step (1), (2), (3), and the operating procedure of coded communication experiment of observing the digital signal of chaos shift keying is in proper order: (1), (2), (4); Wherein step (1), (2) both can be used as the basis or the preorder operation of two coded communication experiments, also can be used as independently experimental implementation content.That is to say that the present invention can carry out four experiment contents as a kind of experiment teaching instrument:
The chaotic signal of A, the chaotic signal generation circuit that utilizes transmitting terminal or receiving terminal produces circuit and observes chaotic signal, the characteristics of understanding chaotic signal.(only needing an operating procedure (1))
B, the chaotic signal that utilizes the chaotic signal of transmitting terminal to produce circuit, unidirectional couplings circuit and receiving terminal produce circuit to carry out chaos and tests synchronously.(only needing two operating procedures (1)+(2))
C, the encryption method of covering with chaos are carried out the coded communication experiment to analog signal.(needing three operating procedures (1)+(2)+(3))
D, digital signal is carried out the coded communication experiment with the encryption method of chaos shift keying.(needing three operating procedures (1)+(2)+(4))
In the transmission course of two kinds of above-mentioned signal encryption communication experiments, it is small-signal that the message signale of transmission all requires, and the signal after the deciphering is through output again after the suitable filter process.
The present invention has trial-produceed experimental prototype successfully, and has carried out repeatedly implementing test, has realized goal of the invention.

Claims (10)

1, a kind of based on the synchronous enciphering telecommunicating experimental apparatus of chaos, it is characterized in that: the control circuit of described device comprises six circuit modules: add circuit, the unidirectional couplings circuit, subtraction circuit, filter circuit, the chaotic signal of transmitting terminal produces circuit, the chaotic signal of receiving terminal produces circuit, and button is positioned at a plurality of switches on the control panel, wherein: two chaotic signal generation circuit structures are identical, two inputs of add circuit are used separately as the output (A) of input end of analog signal and the chaotic signal generation circuit that is connected transmitting terminal by switch (S1), the output (B) of the chaotic signal generation circuit of this transmitting terminal then is connected to the input of unidirectional couplings circuit, the output of this unidirectional couplings circuit is connected to the signal input part (C) of the chaotic signal generation circuit of receiving terminal via switch (S3), the output (D) of the chaotic signal generation circuit of receiving terminal is connected to an input of subtraction circuit via switch (S2), another input of this subtraction circuit then connects the output of add circuit by switch (S4), the output of described unidirectional couplings circuit (E), (F) respectively via switch (S6), (S7) be connected to two inputs of subtraction circuit, the output of this subtraction circuit is connected to the input of filter circuit, and the output of this filter circuit is total output of this device.
2, enciphering telecommunicating experimental apparatus according to claim 1, it is characterized in that: in the control circuit of described device, be serially connected with switch (S5) between inductance element in the chaotic signal generation circuit of transmitting terminal and the ground, produce on circuit so that digital signal can be loaded into this chaotic signal.
3, enciphering telecommunicating experimental apparatus according to claim 1, it is characterized in that: it is cai's circuit that described two chaotic signals produce circuit: two electric capacity composition " ∏ " type circuit at a variable resistor and its two ends, again on these two electric capacity respectively and connect an inductance and a nonlinear resistance; Wherein nonlinear resistance is made up of two amplifiers and peripheral resistance thereof.
4, enciphering telecommunicating experimental apparatus according to claim 1, it is characterized in that: isolator and variable potentiometer that described unidirectional couplings circuit is made up of operational amplifier are formed, wherein isolator is used to realize unidirectional couplings, variable potentiometer is as coupling resistance, so that realize stiffness of coupling control.
5, enciphering telecommunicating experimental apparatus according to claim 1 is characterized in that: on the control panel of described device, also be provided with a plurality of terminals jacks of the input/output signal of supply socket, battery main switch and described six circuit modules.
6, enciphering telecommunicating experimental apparatus according to claim 1, it is characterized in that: all be serially connected with isolator between output that the chaotic signal of described transmitting terminal produces between the output and add circuit of circuit, the chaotic signal of receiving terminal produces circuit and the subtraction circuit and between the chaotic signal generation circuit of digital signal input end and transmitting terminal, this isolator is identical with isolator circuit structure in the unidirectional couplings circuit, all is made up of operational amplifier.
7, a kind of using method based on the synchronous enciphering telecommunicating experimental apparatus of chaos according to claim 1 is characterized in that: comprise following operating procedure:
(1) observe chaotic signal: the switch (S5) that the transmitting terminal chaotic signal is produced circuit is got to closure state, and all the other each switches are all got to off-state, then this device is powered up, connect output and the oscillographic input that the transmitting terminal chaotic signal produces circuit respectively with cable, by regulating the variable resistor R or the inductance L of this chaotic signal generation circuit, observe this chaotic signal and produce various chaos phenomenons or the phasor that circuit produces;
(2) synchronia of observation chaotic signal: regulate variable resistor R or inductance L respectively, it is identical or close and be in the chaos operating state to make two chaotic signals of transmitting terminal and receiving terminal produce the circuit parameter of circuit, again with connection switch (S3) closure of unidirectional couplings circuit, and regulate coupling resistance R CSize, utilize oscilloscope to observe two chaotic signals and produce circuit and realize synchronous phenomenons;
(3) encryption method of covering with chaos is carried out the coded communication experiment to analog signal: respectively closed following three connection switches: the transmitting terminal chaotic signal produces the output of circuit and the switch S 1 of add circuit input, the receiving terminal chaotic signal produces the output of circuit and the switch S 2 of subtraction circuit input, and the switch S between add circuit and the subtraction circuit 4, import analog signal at another input of add circuit again, after making it in this add circuit, to realize that chaos is covered, send into subtraction circuit, so that utilize subtraction circuit and synchronous chaotic signal to recover original analog signal, utilize oscilloscope to observe signal and the original analog signal of behind filter circuit, exporting again;
(4) with the encryption method of chaos shift keying digital signal is carried out the coded communication experiment: open the switch S 5 in the transmitting terminal chaotic signal generation circuit, and to its supplied with digital signal, distinguish two switch S 6, S7 between closed unidirectional couplings circuit output end (E), (F) and two inputs of subtraction circuit again, and regulate coupling resistance R CTo 600-1200 ohm, make the signal at coupling resistance two ends subtract, signal and the original digital signal of importing that can utilize the oscilloscope observation behind filter circuit, to be recovered.
8, the using method of enciphering telecommunicating experimental apparatus according to claim 7, it is characterized in that: the sequential between the operating procedure of described method (3), (4) is arranged side by side, the operating procedure of promptly observing the coded communication experiment of the analog signal that chaos covers is in proper order: step (1), (2), (3), and the operating procedure of coded communication experiment of observing the digital signal of chaos shift keying is in proper order: (1), (2), (4); Wherein step (1), (2) both can be used as the basis or the preorder operation of coded communication experiment, also can be used as independently experimental implementation content.
9, the using method of enciphering telecommunicating experimental apparatus according to claim 7, it is characterized in that: in the described step (1), the chaos phenomenon that produces circuit with the observed transmitting terminal chaotic signal of oscilloscope includes: period doubling bifurcation, period windows, by period doubling bifurcation to chaos, single suction introduction, double suction introduction, intermittency chaos.
10, the using method of enciphering telecommunicating experimental apparatus according to claim 7 is characterized in that: in the described step (2), at the coupling resistance R that regulates the unidirectional couplings circuit CThe time, R CResistance more little, stiffness of coupling is strong more, synchronous effect is good more: when resistance was zero, synchronous effect was best; Work as R CResistance when being infinitely great, then these resistance two ends are in off-state, not coupling can be not synchronous.
CNB2007100984886A 2007-04-18 2007-04-18 Enciphering telecommunicating experimental apparatus based on chaos synchronization and its usage Expired - Fee Related CN100534032C (en)

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US11251948B2 (en) 2019-06-28 2022-02-15 Central South University Encryption and decryption method and system with continuous-variable quantum neural network
CN111490930A (en) * 2020-04-01 2020-08-04 耒阳新中桥文化传媒有限公司 Safety communication system and method based on instant communication software
CN112929152A (en) * 2021-02-02 2021-06-08 中国地质大学(武汉) Robust chaos keying secret communication system, communication method, terminal and storage medium
CN112929152B (en) * 2021-02-02 2022-05-20 中国地质大学(武汉) Robust chaos keying secret communication system, communication method, terminal and storage medium
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CN113726500B (en) * 2021-08-02 2023-09-19 北京邮电大学 Five-dimensional hyper-chaotic coupling synchronization system and satellite physical layer encryption transmission method
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CN114640435B (en) * 2022-03-24 2024-05-28 中国科学院重庆绿色智能技术研究院 Chaotic synchronization system based on linear resistor coupling and design method

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