CN106301751B - A kind of secret communication method based on memristor chaos system - Google Patents
A kind of secret communication method based on memristor chaos system Download PDFInfo
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- CN106301751B CN106301751B CN201510256104.3A CN201510256104A CN106301751B CN 106301751 B CN106301751 B CN 106301751B CN 201510256104 A CN201510256104 A CN 201510256104A CN 106301751 B CN106301751 B CN 106301751B
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/001—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using chaotic signals
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Abstract
The invention discloses a kind of secret communication methods based on memristor chaos system, this method establishes drive system and response system using a four-dimensional memristor chaos system, devising isochronous controller, to make drive system synchronous with response system realization, so that transmitting clear text signal to be encrypted can achieve secret communication effect.The present invention overcomes three-dimensional chaotic system security performances, and not strong, non-single argument transmits the deficiency of signal, provides a kind of new resolving ideas for the secret communication transmission of signal.
Description
Technical field
The present invention relates to chaos system and secret communication field, specifically a kind of secrecy based on memristor chaos system
Communication means.
Background technique
Chaos phenomenon is irregular movement seemingly in deterministic system, and the system of chaotic characteristic has complicated dynamics
Characteristic, generate chaotic signal is not reproducible, unpredictability.Chaos phenomenon is in physics, chemistry, information science, meteorology
It has widely been studied in equal subjects, and the huge prospect of chaos system application secret communication, attract more and more
The concern of person.1971, the scientist Cai Shaotang of Chinese origin of University of California Berkeley theoretically predicted the 4th kind substantially
Electronic component-memristor, the device describe the device of charge and magnetic flux magnitude relation, due to the limitation of current conditions at that time, do not have
This device of memristor can be produced by having.2008, the laboratory development of Hewlett-Packard went out memristor, and numerous scholars open later
Begin for memristor to be applied in various circuit designs.There is scholar to replace Cai in Cai Shi chaos system using different types of memristor
Family name's diode constitutes the four-dimensional memristor chaos system of new type, since itself is a nonlinear both ends electronics for memristor
Element, so the memristor chaos system being made of memristor can show complicated chaotic characteristic, this characteristic is suitble to apply
In secret communication.
Currently, there are many schemes for realizing secret communication using different chaos systems, but these schemes are mainly based upon two
Chaos system or three-dimensional chaotic system are tieed up, and existing scholar provides and cracks secret communication method accordingly, in terms of safety
It is difficult to ensure, is easy under attack.
Summary of the invention
It is an object of the invention to overcome the shortcomings of that above-mentioned three-dimensional chaotic system in secret communication, is based on memristor chaos system
System proposes a kind of communication schemes of single channel transmission signal, so as to significantly improve secret communication performance.
The technical solution adopted by the present invention comprises the following steps:
(1) description of four-dimensional memristor chaos system
A. memristor chaos drive system is established；
B. memristor chaos motion system is established；
(2) design of isochronous controller
A. error system is constructed；
B. isochronous controller is designed；
(3) realization of communication schemes:
A. transmitting terminal: introducing memristor chaos drive system for clear text signal and adaptive tracing signal, and generates chaos letter
Number, chaotic signal is superimposed to the transmission signal for generating and encrypting with clear text signal and is transferred to receiving end.
B. receiving end: the transmission signal received is introduced into memristor chaos motion system and generates corresponding chaotic signal, so
The clear text signal for sending signal and obtaining decryption combining the chaotic signal afterwards and receiving.
The present invention provides a kind of secret communication method based on memristor chaos system for the first time, so that improving signal transmission
It need to only be transmitted by single line while confidentiality, there is following advantages compared with prior art:
(1) present invention be using can design communication schemes by the four dimensional chaos memristor system of analog circuit realization,
With practical significance.
(2) the chaos memristor system dimension that the present invention utilizes is higher, it more difficult to crack.
(3) only a transmission signal is needed to can be realized during scheme transmission proposed by the invention, physics realization is more
It is convenient.
(4) scheme proposed by the invention may be used in the transmission of the signals such as sound, text, image, have universality.
Detailed description of the invention
Fig. 1 is the overall structure block diagram based on the method for the present invention.
Fig. 2 is the time response curve of clear text signal m (t) in the embodiment of the present invention.
Fig. 3 is the encrypted time response curve for sending signal s (t) of transmitting terminal in the embodiment of the present invention.
Fig. 4 is the time response curve for the clear text signal m ' (t) that receiving end is restored in the embodiment of the present invention.
Specific embodiment
Technical solution for a better understanding of the present invention, is below described in further detail embodiment, and ties
Unify application example to illustrate specific embodiment, but not limited to this.
Designing clear text signal to be encrypted is m (t)=3sin (0.1 π t)+2cos (0.8 π t), and wherein t indicates the time.This
The overall structure block diagram of inventive method is as shown in Figure 1, specific embodiment can be divided into the following steps:
(1) description of four-dimensional memristor chaos system
A. memristor chaos drive system is established
Choosing memristor chaos drive system is
Wherein: x1, x2, x3, x4For drive system state variable, W () is to recall derived function:
Here a=b=1 is taken.It can be obtained after abbreviation
B. memristor chaos motion system is established
Determine that memristor chaos motion system is according to formula (2)
Wherein: y1, y2, y3, y4For response system state variable, u is isochronous controller variable to be designed.
(2) design of isochronous controller
A. error system is constructed
Define synchronous error ei=xi-αyi, wherein i=1,2,3,4, α be scale factor, can any value.Combine (2)
(3) can obtain error system is
B. isochronous controller is designed；
The isochronous controller is taken to be
Wherein: s (t) is to transmit signal, c in transmission communication to be determined2For the auto-adaptive controling signal of receiving end.
(3) realization of communication schemes
A. transmitting terminal: by clear text signal m (t) and adaptive tracing signal c1Memristor chaos drive system composition is introduced to send
The state equation of the memristor chaos drive system at end
And generate chaotic signal x1(t), by chaotic signal x1(t) the transmission letter for generating encryption is superimposed with clear text signal m (t)
Number s (t)=x1(t)+m (t) is transferred to receiving end.
B. receiving end: by the transmission signal s (t) received=x1(t)+m (t) introduces memristor chaos motion system composition and connects
The state equation of the memristor chaos drive system of receiving end
Generate corresponding chaotic signal y1(t), then combine chaotic signal y1(t) and the transmission signal s (t) that receives
=x1(t)+m (t) obtains clear text signal m ' (t)=s (t)-y of decryption1(t)。
(4) simulating, verifying
In this implementation, α=- 0.5 is taken, the state initial value of drive system (2) and response system (2) is chosen for x (0) respectively
=[- 0.5,1,0,0], y (0)=[0,0,0,0], auto-adaptive controling signal c1And c2Initial value be c1(0)=c2(0)=0.
Fig. 2 gives the time response curve of clear text signal m (t) in the embodiment of the present invention, and wherein abscissa is time t,
Ordinate m (t)；The clear text signal generates the transmission signal s (t) such as Fig. 3 institute of encryption by transmitting terminal memristor chaos drive system
Show, wherein abscissa is time t, ordinate s (t)；The time response curve of the clear text signal m ' (t) of recovery as shown in figure 4, its
Middle abscissa is time t, ordinate m ' (t).By comparing effect as it can be seen that the signal in transmission channel is chaos state, play
Privacy functions；And the clear text signal that receiving end is restored can be completely synchronous with the holding of original plaintext signal after about 2 seconds, to have
Signal is restored in effect ground.
Claims (1)
1. a kind of secret communication method based on memristor chaos system, it is characterised in that described method includes following steps:
(1) description of four-dimensional memristor chaos system
A. memristor chaos drive system is established
Choosing memristor chaos drive system is
Wherein: x1, x2, x3, x4For drive system state variable, W () is to recall derived function:
Here a=b=1 is taken；It can be obtained after abbreviation
B. memristor chaos motion system is established
Determine that memristor chaos motion system is according to formula (2)
Wherein: y1, y2, y3, y4For response system state variable, u is isochronous controller variable to be designed；
(2) design of isochronous controller
A. error system is constructed
Define synchronous error ei=xi-αyi, wherein i=1,2,3,4, α be scale factor, can any value；Combine (2) and
(3) can obtain error system is
B. isochronous controller is designed；
The isochronous controller is taken to be
Wherein: s (t) is to send signal, c in transmission communication to be determined2For the auto-adaptive controling signal of receiving end；
(3) realization of communication schemes
A. transmitting terminal: by clear text signal m (t) and adaptive tracing signal c1Introduce memristor chaos drive system composition transmitting terminal
The state equation of memristor chaos drive system
And generate chaotic signal x1(t), by chaotic signal x1(t) the transmission signal s for generating encryption is superimposed with clear text signal m (t)
(t)=x1(t)+m (t) is transferred to receiving end；
B. receiving end: by the transmission signal s (t) received=x1(t)+m (t) introduces memristor chaos motion system and forms receiving end
Memristor chaos drive system state equation
Generate corresponding chaotic signal y1(t), then combine chaotic signal y1(t) and transmission signal s (t)=x for receiving1
(t)+m (t) obtains clear text signal m ' (t)=s (t)-y of decryption1(t)。
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Families Citing this family (6)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN107359983B (en) * | 2017-08-25 | 2019-11-29 | 中国人民解放军海军航空工程学院 | The signal encryption transmission and restoration methods covered based on without item chaotic signal |
| CN108418672A (en) * | 2018-03-14 | 2018-08-17 | 长安大学 | A kind of voice communication encryption method based on inverse time chaos matched filter |
| CN109412808B (en) * | 2018-11-13 | 2020-11-27 | 中国地质大学（武汉） | Image transmission method and system based on finite time synchronization of memristive chaotic system |
| CN110740031B (en) * | 2019-10-25 | 2023-02-14 | 华中师范大学 | Two chaotic system circuit synchronization method based on memristor and system circuit |
| CN111181713A (en) * | 2020-01-06 | 2020-05-19 | 江南大学 | Event trigger control method and device and chaotic secret communication system |
| CN113590082B (en) * | 2021-06-28 | 2024-05-03 | 杭州电子科技大学 | Three-value memristor full adder circuit based on text operation |
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