CN104092530A - Optical image encryption method based on quantum cell nerve network hyperchaotic system - Google Patents
Optical image encryption method based on quantum cell nerve network hyperchaotic system Download PDFInfo
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Abstract
The invention relates to the technical field of information security, and discloses an optical image encryption method based on a quantum cell nerve network hyperchaotic system, for solving the defect of insufficient non-linear degree of a conventional optical encryption system. According to the invention, an optical image is encrypted and decrypted by use of the quantum cell nerve network hyperchaotic system, due to the hyperchaonic characteristic of a quantum cell nerve network, the linearity characteristic of a conventional double-random phase coding optical encryption technology is made up for, and the optical image encryption method has the security characteristics of large secret key space and high anti-attack capability. Besides, since a quantum dot and a quantum cell automatic machine are novel nanometer-level electronic devices which transmit information through coulomb interaction, compared to the prior art, the quantum cell automatic machine has the advantages of super-high integration, super-low power consumption, lead-free integration and the like.
Description
Technical field
The present invention relates to field of information security technology, be specifically related to a kind of image encryption decryption method based on quantum cellular neural hyperchaotic system and fractional Fourier transform.
Background technology
Cyber-net is bringing the huge while easily also to bring unprecedented challenge to the mankind, information security is more and more paid attention to by countries in the world.21 century is the information age, and information has become a kind of important strategic resource.Obtaining of information, processing and safety assurance ability have become the important component part of a national overall national strength.Information security, concerning national security and social stability, therefore, must take measures to guarantee the information security of China.
The research that focus is optical information encryption technology of current optical Information Processing research.Optical Information Processing is nearly four emerging front subjects that grow up during the last ten years, optical information encryption technology based on optical theory and method is the generation information safe handling technology progressively growing up in recent years, and he has become an important component part of optical Information Processing science.The parallel ability of optical information system shows the advantage that conditional electronic information system can not be compared when processing magnanimity information, and handled image is more complicated, the larger this advantage of amount of information is just more obvious.Meanwhile, optical encryption is encrypted and is had the more degree of freedom than conditional electronic, and information can be hidden in a plurality of degrees of freedom space.
But along with going deep into of research, researcher finds most optical image encryption technology, the optical encryption technology that is especially encoded to Typical Representative with double random phase is owing to existing linear this character, and the fail safe of system exists great hidden danger.
What chaos system had ties up in the classical article < < Communication Theory of Secrecy Systems > > that Shannon1949 publishes and just mentions parameter and the highstrung fundamental characteristics of initial value and cryptographic natural pass.Chaos neither self-existent science, and it and other each science promote mutually, rely on mutually, derive thus many cross disciplines, as chaos meteorology, chaos economics, chaos mathematics etc.Chaos not only has researching value, and has application value realistic, can directly or indirectly create the wealth.This makes chaos controlling problem cause the very big concern of nonlinear dynamic system and Engineering Control expert in the world, becomes one of focus of nonlinear science research.
Quantum dot and Quantum Cellular Automata are the Performances of Novel Nano-Porous meter level electronic devices with coulomb effect transmission of information.Compare with conventional art, Quantum Cellular Automata has superelevation integrated level, and super low-power consumption, without the lead-in wire advantage such as integrated.In recent years, Chinese scholars be take Schrodinger equation as basis, uses Cai Schwann Cells neural network structure, with Quantum Cellular Automata, has constructed quantum cellular neural.Because quantum between quantum dot interacts, quantum cellular neural can obtain complicated Nonlinear Dynamical Characteristics from polarizability and the quantum phase of each Quantum Cellular Automata.Can be in order to construct nano level Hyperchaotic Oscillation device.
Summary of the invention
The present invention, for solving the problem of existing optical encryption system nonlinear degree deficiency, provides a kind of based on quantum cellular neural hyperchaotic system optical image encryption method.
Based on quantum cellular neural hyperchaotic system optical image encryption method, the method is realized by following steps:
Ciphering process:
The image of step 1, selection N * N is as original plaintext image PI;
Step 2, the initial condition P of two cell quantum cellular neural hyperchaotic system is set
1(0), P
2(0),
as encryption key;
Step 3, by two cell quantum cellular neural hyperchaotic system described in step 2 to control parameter ω
1, ω
2, b
1, b
2with initial condition P
1(0), P
2(0),
iteration
inferior, acquisition size is
matrix;
Step 4, the matrix that step 3 is obtained split, and obtain two
matrix; To described two
matrix is respectively according to from top to bottom, and order is from left to right carried out matrixing, obtains respectively the matrix that two sizes are N * N, and using two N * N matrixes respectively as the first chaos random-phase marks CRPM
1with the second chaos random-phase marks CRPM
2;
Step 5, the original plaintext image PI described in step 1 is multiplied by the first chaos random-phase marks CRPM
1, carrying out level time is the fractional Fourier transform of p1;
Make original plaintext image PI=f (x, y), the first chaos random-phase marks is CRPM
1(x, y), transformation results is: F
p1{ f (x, y) exp[i π CRPM
1(x, y)] };
Step 6, the transformation results of step 5 is multiplied by the second chaos random-phase marks CRPM
2, carrying out level time is the fractional Fourier transform of p2, obtains encrypted image CI;
Make encrypted image CI=g (x, y), the second chaos random-phase marks is CRPM
2(x, y), the final encrypted result of process Fourier transform is:
g(x,y)＝F
p2{F
p1{f(x,y)exp[iπCRPM
1(x,y)]}exp[iπCRPM
2(x,y)]}；
Decrypting process:
Step 7, with the encryption key P in step 2
1(0), P
2(0),
as decruption key iteration two cell quantum cellular neural hyperchaotic system
inferior, generate two chaos random-phase marks CRPM
1and CRPM
2;
Step 8, encrypted image CI is carried out to the fractional Fourier transform that level time is-p2; And by the second chaos random-phase marks CRPM for transformation results
2negative conjugation
carry out filtering; Filtering result is expressed as:
F-
p2{g(x,y)exp[-iπCRPM
2(x,y)]}；
Then filtering result is carried out to the fractional Fourier transform that level time is-p1; If the fractional Fourier transform result that to carry out level time be-p1 is arithmetic number, can directly by CCD, surveys and obtain deciphering image;
If result is plural number, adopt the first chaos random-phase marks CRPM
1negative conjugation
carry out filtering; Obtain final decrypted result.
Beneficial effect of the present invention: the present invention propose based on quantum cellular neural hyperchaotic system optical image encryption method, hyperchaos characteristic due to quantum cellular neural, made up the linear character of traditional double random phase encoding optical encryption technology, there is key space large, the safety feature that anti-attack ability is strong.And because quantum dot and Quantum Cellular Automata are the Performances of Novel Nano-Porous meter level electronic devices with coulomb effect transmission of information.Compare with conventional art, Quantum Cellular Automata has superelevation integrated level, and super low-power consumption, without the lead-in wire advantage such as integrated.
Accompanying drawing explanation
Fig. 1 is of the present invention based on optical image encryption flow chart in quantum cellular neural hyperchaotic system optical image encryption method;
Fig. 2 is of the present invention based on optical imagery deciphering flow chart in quantum cellular neural hyperchaotic system optical image encryption method;
Fig. 3 is of the present invention based on optical image encryption design sketch in quantum cellular neural hyperchaotic system optical image encryption method; Wherein scheming A is original image, and figure B is encrypted image, figure C deciphering image, and figure D is wrong deciphering image.
Embodiment
Embodiment one, in conjunction with Fig. 1 to Fig. 3, present embodiment is described, based on quantum cellular neural hyperchaotic system optical image encryption method, the method is realized by following steps:
Ciphering process:
The image of step 1, selection N * N is as original plaintext image PI.
Step 2, two cell quantum cellular neural hyperchaotic system initial condition P are set
1(0), P
2(0),
as encryption key.
Step 3, by described hyperchaotic system to control parameter ω
1, ω
2, b
1, b
2, initial condition P
1(0), P
2(0),
iteration
inferior, obtain size and be
matrix.
Step 4, the matrix that step 3 is obtained split, and obtain two sizes to be
matrix.
Step 5, two matrixes that step 4 is obtained are respectively according to from top to bottom, and order is from left to right carried out matrixing, obtains respectively the matrix that two sizes are N * N, respectively as the first and second chaos random-phase marks CRPM.
Step 6, original image is multiplied by the first chaos random-phase marks CRPM
1, carrying out level time is the fractional Fourier transform of p1.
Step 7, the transformation results of step 6 is multiplied by the second random-phase marks CRPM
2, carrying out level time is the fractional Fourier transform of p2, obtains encrypted image CI.
Decrypting process:
Step 1, with decruption key P
1(0), P
2(0),
iteration two cell quantum cellular neural hyperchaotic system
inferior, generate two chaos random-phase marks.
Step 2, encrypted image CI is carried out to the fractional Fourier transform that level time is-p2.
Step 3, by the second chaos random-phase marks CRPM for the transformation results of step 2
2negative conjugation
carry out filtering.
Step 4, the result of step 3 is carried out to the fractional Fourier transform that level time is-p1.
If the result that step 5 step 4 obtains is arithmetic number, can directly by CCD, surveys and obtain deciphering image; If the result that step 4 obtains is plural number, deciphering also needs with the first chaos random-phase marks CRPM completely
1negative conjugation
carry out filtering, eliminate the impact of random phase.
Embodiment two, in conjunction with Fig. 1 to Fig. 3, present embodiment is described, present embodiment be described in embodiment one based on quantum cellular neural hyperchaotic system optical image encryption method, the method ciphering process is realized by following steps:
" Cameraman " image of A1, selection 256 * 256, Fig. 3 (A) is as original plaintext image PI.
B1, encryption key are set to respectively P
1(0)=0.55, P
2(0)=-0.1,
C1, iteration two cell quantum cellular neural hyperchaotic system
inferior, obtain size and be 32768 * 4 matrix.
D1, the matrix that C1 is obtained split, and obtain the matrix that two sizes are 32768 * 2.
E1, two matrixes that D1 is obtained are respectively according to from top to bottom, and order is from left to right carried out matrixing, obtains respectively the matrix that two sizes are 256 * 256, respectively as the first and second chaos random-phase marks CRPM
1and CRPM
2.
F1, original image is multiplied by the first chaos random-phase marks CRPM
1, carrying out level time is the fractional Fourier transform of p1.
G1, the transformation results of F1 is multiplied by the second random-phase marks CRPM
2, carrying out level time is the fractional Fourier transform of p2, obtains encrypted image CI.
The method decrypting process is realized by following steps:
A2, with decruption key ω
1, ω
2, b
1, b
2and P
1(0), P
2(0),
iteration two cell quantum cellular neural hyperchaotic system 32768 times, generates two chaos random-phase marks.
B2, encrypted image CI is carried out to the fractional Fourier transform that level time is-p2.
C2, by the second chaos random-phase marks CRPM for the transformation results of B2
2negative conjugation
carry out filtering.
D2, the result of C2 is carried out to the fractional Fourier transform that level time is-p1.
If the result that E2 D2 obtains is arithmetic number, can directly by CCD, surveys and obtain deciphering image; If the result that D2 obtains is plural number, deciphering also needs with the first chaos random-phase marks CRPM completely
1negative conjugation
carry out filtering, eliminate the impact of random phase.
The state equation of the quantum cellular neural of the two cell couplings that present embodiment step C1 is used is defined as:
P wherein
1, P
2,
for state variable; b
1, b
2to in each cell between quantum dot can be directly proportional, ω
1, ω
2represent the weighting impact of the difference of flanking cell polarizability, be equivalent to clone's template of traditional C NN.Work as b
1=0.28, b
2=0.28, ω
1=0.7, ω
2within=0.3 o'clock, system is in hyperchaos state.
By encipherer, with the form of encryption key, system initial value is set.Because this quantum cellular neural system is hyperchaotic system, even if system initial value, system key has small difference also will to cause the greatest differences of system iterative result, causes correctly deciphering.By simulation results show, the key space of system is 10
56, this encryption system has enough large key space with opposing brute force attack.
In present embodiment step F 1, make original image PI=f (x, y), the first chaos random-phase marks is CRPM
1(x, y), the transformation results of process step F 1 is: F
p1{ f (x, y) exp[i π CRPM
1(x, y)] }.
In present embodiment step G1, make encrypted image CI=g (x, y), the second chaos random-phase marks is CRPM
2(x, y), the final encrypted result obtaining through step G1 is:
g(x,y)＝F
p2{F
p1{f(x,y)exp[iπCRPM
1(x,y)]}exp[iπCRPM
2(x,y)]}。
Filtering result in present embodiment step C2 can be expressed as: F
-p2{ g (x, y) exp[-i π CRPM
2(x, y)] }.
Final decrypted result in present embodiment step e 2 is:
f(x,y)＝F
-p1{F
-p2{g(x,y)exp[-iπCRPM
2(x,y)]}exp[-iπCRPM
1(x,y)]}。
Claims (2)
1. based on quantum cellular neural hyperchaotic system optical image encryption method, the method comprises the encryption and decryption process to optical imagery, it is characterized in that, the method is realized by following steps:
Ciphering process:
The image of step 1, selection N * N is as original plaintext image PI;
Step 2, the initial condition P of two cell quantum cellular neural hyperchaotic system is set
1(0), P
2(0),
as encryption key;
Step 3, by two cell quantum cellular neural hyperchaotic system described in step 2 to control parameter ω
1, ω
2, b
1, b
2with initial condition P
1(0), P
2(0),
iteration
inferior, acquisition size is
matrix;
Step 4, the matrix that step 3 is obtained split, and obtain two
matrix; To described two
matrix is respectively according to from top to bottom, and order is from left to right carried out matrixing, obtains respectively the matrix that two sizes are N * N, and using two N * N matrixes respectively as the first chaos random-phase marks CRPM
1with the second chaos random-phase marks CRPM
2;
Step 5, the original plaintext image PI described in step 1 is multiplied by the first chaos random-phase marks CRPM
1, carrying out level time is the fractional Fourier transform of p1;
Make original plaintext image PI=f (x, y), the first chaos random-phase marks is CRPM
1(x, y), transformation results is: F
p1{ f (x, y) exp[i π CRPM
1(x, y)] };
Step 6, the transformation results of step 5 is multiplied by the second chaos random-phase marks CRPM
2, carrying out level time is the fractional Fourier transform of p2, obtains encrypted image CI;
Make encrypted image CI=g (x, y), the second chaos random-phase marks is CRPM
2(x, y), the final encrypted result of process Fourier transform is:
g(x,y)＝F
p2{F
p1{f(x,y)exp[iπCRPM
1(x,y)]}exp[iπCRPM
2(x,y)]}；
Decrypting process:
Step 7, with the encryption key P in step 2
1(0), P
2(0),
as decruption key iteration two cell quantum cellular neural hyperchaotic system
inferior, generate two chaos random-phase marks CRPM
1and CRPM
2;
Step 8, encrypted image CI is carried out to the fractional Fourier transform that level time is-p2; And by the second chaos random-phase marks CRPM for transformation results
2negative conjugation
carry out filtering; Filtering result is expressed as:
F-
p2{g(x,y)exp[-iπCRPM
2(x,y)]}；
Then filtering result is carried out to the fractional Fourier transform that level time is-p1; If the fractional Fourier transform result that to carry out level time be-p1 is arithmetic number, can directly by CCD, surveys and obtain deciphering image;
If result is plural number, adopt the first chaos random-phase marks CRPM
1negative conjugation
carry out filtering; Obtain final decrypted result.
2. according to claim 1ly based on quantum cellular neural hyperchaotic system optical image encryption method, it is characterized in that, the state equation of the quantum cellular neural of two described cells couplings is defined as:
P in formula
1, P
2,
for state variable; b
1, b
2to in each cell between quantum dot energy be directly proportional, ω
1, ω
2represent the weighting impact of the difference of flanking cell polarizability.
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| CN106850182A (en) * | 2017-01-16 | 2017-06-13 | 长春理工大学 | Video chaotic encryption method based on quantum cellular neural |
| CN108932691A (en) * | 2018-08-14 | 2018-12-04 | 长春理工大学 | More diffusion image encrypting and decrypting methods of quantum cellular neural chaos |
| CN109120813A (en) * | 2018-08-14 | 2019-01-01 | 长春理工大学 | Quantum chaos optical image encryption decryption method based on Kronecker product |
| CN109190393A (en) * | 2018-08-14 | 2019-01-11 | 长春理工大学 | Optical image encryption decryption method based on composite chaotic and quantum chaos |
| CN116016993A (en) * | 2022-11-15 | 2023-04-25 | 上海热线信息网络有限公司 | Video encryption and decryption method and device based on reversible cellular automaton |
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Cited By (10)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN106056527A (en) * | 2016-09-05 | 2016-10-26 | 中山大学 | Image encryption method based on hybrid balanced second-order reversible two-dimensional cellular automata |
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| CN106850182B (en) * | 2017-01-16 | 2020-04-21 | 长春理工大学 | Video chaotic encryption method based on quantum cell neural network |
| CN108932691A (en) * | 2018-08-14 | 2018-12-04 | 长春理工大学 | More diffusion image encrypting and decrypting methods of quantum cellular neural chaos |
| CN109120813A (en) * | 2018-08-14 | 2019-01-01 | 长春理工大学 | Quantum chaos optical image encryption decryption method based on Kronecker product |
| CN109190393A (en) * | 2018-08-14 | 2019-01-11 | 长春理工大学 | Optical image encryption decryption method based on composite chaotic and quantum chaos |
| CN109190393B (en) * | 2018-08-14 | 2022-03-29 | 长春理工大学 | Optical image encryption and decryption method based on composite chaos and quantum chaos |
| CN108932691B (en) * | 2018-08-14 | 2022-12-30 | 长春理工大学 | Quantum cell neural network chaotic multi-diffusion image encryption and decryption method |
| CN116016993A (en) * | 2022-11-15 | 2023-04-25 | 上海热线信息网络有限公司 | Video encryption and decryption method and device based on reversible cellular automaton |
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