US 11,381,378 B2Granted

Chaotic communication method and system based on complex modified projective difference function synchronization

AssigneesQilu University of Technology, Shandong Institute of Artificial Intelligence

InventorsFangfang Zhang, Minglei Shu, Kai Sun, Mingming Huang, Xue Zhang

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Abstract

According to the chaotic communication method and system based on complex modified projective difference function synchronization provided in the present invention, when a chaotic signal has a relatively small amplitude, the amplitude of the chaotic signal can be adjusted by adjusting a proportional matrix, so as to mask plaintext better. Moreover, a robust controller is designed according to a filtered signal and a second coupling function, to ensure complex modified projective difference function synchronization, and such synchronization allows the bit error rate to be zero theoretically. In addition, complex modified projective difference function synchronization does not require a transmitter and a receiver to be exactly consistent, provided that the synchronization can be implemented under the effect of the controller, thereby solving the disadvantage in the prior art that the receiver system and transmitter system are required to have exactly identical structures, and simplifying a structure requirement on the communication system.

Claims8

Dependent claims

A chaotic communication method based on complex modified projective difference function synchronization, comprising:

obtaining an information signal, a proportional matrix, and a first coupling function and a second coupling function of a coupled complex chaotic system under control, wherein the first coupling function is a derivative equation of a first complex state vector in a chaos equation of a drive system;
the second coupling function is a derivative equation of a first complex state vector in a chaos equation of a response system;
the proportional matrix is a private key shared by the drive system and the response system;
the information signal is H(t):
H(t)={h1(t), h2(t), . . . , hq(t)}T, wherein h1(t), h2(t), . . . , hq(t) are all factors of a difference function, and q is a number of the factors;
determining a transmission signal according to the information signal, the proportional matrix and the first coupling function by using an encryptor;
forming an actual transmission signal after adding noise in a process of transmitting the transmission signal in a channel;
obtaining a filtered signal according to the actual transmission signal by using a filter;
determining a controller according to the filtered signal and the second coupling function, the controller being ν:
v=s″−f(x,z)+ke;
wherein s″ represents a filtered transmission signal of the response system;
f(x,z) represents the second coupling function;
k is a real number less than zero;
e=x(t)−∫0tsdt, x(t) represents the first complex state vector in the chaos equation of the response system, s represents the transmission signal, and t represents a communication time;
reconstructing the first complex state vector in the chaos equation of the response system according to a second complex state vector in the chaos equation of the drive system by using the controller, to obtain a reconstructed complex state vector;
and
performing decryption according to the reconstructed complex state vector, the proportional matrix, and the first complex state vector in the chaos equation of the drive system by using a decryptor, to obtain the information signal.

14 more elements

A chaotic communication system based on complex modified projective difference function synchronization, comprising:

an obtaining module, configured to obtain an information signal, a proportional matrix, and a first coupling function and a second coupling function of a coupled complex chaotic system under control, wherein the first coupling function is a derivative equation of a first complex state vector in a chaos equation of a drive system;
the second coupling function is a derivative equation of a first complex state vector in a chaos equation of a response system;
and the proportional matrix is a private key shared by the drive system and the response system;
a transmission signal determining module, configured to determine a transmission signal according to the information signal, the proportional matrix and the first coupling function by using an encryptor;
an actual transmission signal determining module, configured to form an actual transmission signal after adding noise in a process of transmitting the transmission signal in a channel;
a filtered signal determining module, configured to obtain a filtered signal according to the actual transmission signal by using a filter;
a controller determining module, configured to determine a controller according to the filtered signal and the second coupling function, the controller being ν:
v=s″−f(x,z)+ke;
wherein s″ represents a filtered transmission signal of the response system;
f(x,z) represents the second coupling function;
k is a real number less than zero;
e=x(t)−∫0tsdt, x(t) represents the first complex state vector in the chaos equation of the response system, s represents the transmission signal, and t represents a communication time;
a complex state vector reconstruction module, configured to reconstruct the first complex state vector in the chaos equation of the response system according to a second complex state vector in the chaos equation of the drive system by using the controller, to obtain a reconstructed complex state vector;
and
an information signal decryption module, configured to perform decryption according to the reconstructed complex state vector, the proportional matrix, and the first complex state vector in the chaos equation of the drive system by using a decryptor, to obtain the information signal.

12 more elements

Dependencies are inferred from the claim text.

Facts

Application: 17/038,143Filed 30 Sep 2020
Priority: CN 202010781255.16 Aug 2020
Published: US 2022/0045838 A110 Feb 2022
Granted: 5 Jul 2022
Term ends: Not estimatedThe source records don’t support an estimate.

Classification4 codes

H04L 9/001
Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols: using chaotic signals
H04L 9/12
Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols: transmitting and receiving…
H04L 27/001
Modulated-carrier systems: using chaotic signals
H04L
Digital communication