CN111835498A - Multi-wing chaotic signal generator and encryption system - Google Patents
Multi-wing chaotic signal generator and encryption system Download PDFInfo
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Abstract
The invention discloses a multi-wing chaotic signal generator and an encryption system, wherein the multi-wing chaotic signal generator comprises: the device comprises an x signal output end, a y signal output end, a z signal output end, an F connecting end, a basic chaotic signal generating circuit N1 and a nonlinear function generating circuit N2. The encryption system is used for encrypting through the multi-wing chaotic signal generator. The chaotic signal generator can generate a complex chaotic signal, improve the signal dimension and improve the complexity of the chaotic signal. The encryption system has larger key space and stronger system anti-deciphering capability. The invention is mainly used in the technical field of chaotic encryption.
Description
Technical Field
The invention relates to the technical field of chaotic encryption, in particular to a multi-wing chaotic signal generator and an encryption system.
Background
Since the first chaotic system was discovered by Lorenz in the 60's of the 20 th century, the chaotic system has attracted wide attention in the fields of image encryption, information security and the like because of its characteristics of strong sensitivity, dependence, unpredictability and the like on initial conditions and parameters. The chaos is a deterministic random-like process in a nonlinear power system and has ergodicity, mixing and exponential divergence. The chaotic signal output by the conventional chaotic signal generator has low dimensionality and low complexity. Therefore, the encryption system obtained by using the chaotic signal generator also has the problem of easy cracking.
Disclosure of Invention
The present invention is directed to a multi-wing chaotic signal generator and encryption system, which solves one or more of the problems of the prior art and provides at least one of the advantages.
The solution of the invention for solving the technical problem is as follows: in one aspect, a multi-wing chaotic signal generator is provided, and a state equation of the chaotic signal generator is as follows:
wherein, F1＝1.61,F2＝1.81,F3＝2.64,F4＝3.6；
E1＝0.94,E2＝1.4,E3＝1.87,E4＝2.26。
Further, the multi-wing chaotic signal generator includes: an x signal output end, a y signal output end, a z signal output end, an F connecting end, a basic chaotic signal generating circuit N1 and a nonlinear function generating circuit N2;
the basic chaotic signal generating circuit N1 includes: operational amplifier OP1To OP9Multiplier MUL1To MUL3Resistance R1To R19And a capacitor C1To C3；
The nonlinear function generation circuit N2 includes: operational amplifier OP10To OP31Multiplier MUL4Resistance R21To the resistance R62And a voltage terminal V1To V12；
Operational amplifier OP1Is passed through a resistor R3And operational amplifier OP1Is connected to the negative input terminal of an operational amplifier OP1Is connected to the negative input terminal through a resistor R1And operational amplifier OP5Is connected to the output of an operational amplifier OP1Is connected to the negative input terminal through a resistor R2And multiplier MUL1Is connected to the output of an operational amplifier OP1Is passed through a resistor R4And operational amplifier OP2Is connected with the negative input end of the power supply;
operational amplifier OP2Is passed through a capacitor C1And operational amplifier OP2Is connected with the negative input end of the power supply; operational amplifier OP2Is passed through a resistor R5And operational amplifier OP3Is connected with the negative input end of the power supply;
operational amplifier OP3Is passed through a resistor R6OP with operational amplifier3Negative input terminal connected, operational amplifier OP3The output end of the X-ray detector is connected with the x signal output end;
operational amplifier OP4Is passed through a resistor R10And operational amplifier OP4Is connected to the negative input terminal of an operational amplifier OP4Is passed through a resistor R11And operational amplifier OP5Is connected to the negative input terminal of an operational amplifier OP4Is connected to the negative input terminal through a resistor R7And operational amplifier OP2Is connected to the output of an operational amplifier OP4Is connected to the negative input terminal through a resistor R8And OP6Is connected to the output of an operational amplifier OP4Is connected to the negative input terminal through a resistor R9And multiplier MUL2The output ends of the two-way valve are connected;
operational amplifier OP5Is passed through a capacitor C2And operational amplifier OP5Is connected to the negative input terminal of an operational amplifier OP5Is passed through a resistor R12And operational amplifier OP6Is connected with the negative input end of the power supply;
operational amplifier OP6Is passed through a resistor R13And operational amplifier OP6Is connected to the negative input terminal of an operational amplifier OP6The output end of the y-shaped switch is connected with the y signal output end;
multiplier MUL1First input terminal of and operational amplifier OP5Is connected to the output of the multiplier MUL1Second input terminal of and operational amplifier OP9The output ends of the two-way valve are connected;
multiplier MUL2First input terminal of and operational amplifier OP3Is connected to the output of the multiplier MUL2Second input terminal of and operational amplifier OP9The output ends of the two-way valve are connected;
multiplier MUL3First input terminal of and operational amplifier OP2Is connected to the output of the multiplier MUL3Second input terminal of and operational amplifier OP6The output ends of the two-way valve are connected;
operational amplifier OP7Is passed through a resistor R17And operational amplifier OP7Is connected to the negative input terminal of an operational amplifier OP7Is passed through a resistor R18And operational amplifier OP8Is connected to the negative input terminal of an operational amplifier OP7Is connected to the negative input terminal through a resistor R14And operational amplifier OP9Is connected to the output of an operational amplifier OP7Is connected to the negative input terminal through a resistor R15And multiplier MUL3Is connected to the output of an operational amplifier OP7Is connected to the negative input terminal through a resistor R16Is connected with the F connecting end;
operational amplifier OP8Is passed through a capacitor C3And operational amplifier OP8Is connected to the negative input terminal of an operational amplifier OP8Is passed through a resistor R19And operational amplifier OP9Is connected with the negative input end of the power supply;
operational amplifier OP9Is passed through a resistor R20And operational amplifier OP9Is connected to the negative input terminal of an operational amplifier OP9The output end of the Z-shaped signal input end is connected with the z-shaped signal output end;
operational amplifier OP10Output terminal of (2) andlaw ware MUL4Are connected to two input terminals of an operational amplifier OP10Output terminal of and operational amplifier OP10Is connected to the negative input terminal of the multiplier MUL4Is passed through a resistor R21And operational amplifier OP31Is connected to the negative input terminal of an operational amplifier OP10The positive input end is connected with the x signal output end;
operational amplifier OP11Is passed through a resistor R22And operational amplifier OP12Is connected to the negative input terminal of an operational amplifier OP11Positive input terminal and voltage terminal V1Connected, operational amplifier OP12Is passed through a resistor R23And operational amplifier OP12Is connected to the negative input terminal of an operational amplifier OP12Is passed through a resistor R25And operational amplifier OP13Is connected to the negative input terminal of an operational amplifier OP13Is connected to the negative input terminal through a resistor R24And a voltage terminal V9Connected, operational amplifier OP13Is connected to the negative input terminal through a resistor R26And operational amplifier OP13Is connected to the output of an operational amplifier OP13Is passed through a resistor R27And operational amplifier OP31Is connected with the negative input end of the power supply; operational amplifier OP14Is passed through a resistor R28And operational amplifier OP15Is connected to the negative input terminal of an operational amplifier OP14Positive input terminal and voltage terminal V2Connected, operational amplifier OP15Is passed through a resistor R29And operational amplifier OP15Is connected to the negative input terminal of an operational amplifier OP15Is passed through a resistor R30And operational amplifier OP13Is connected to the positive input terminal of an operational amplifier OP13Is connected to the positive input end through a resistor R31Is connected with the ground;
operational amplifier OP16Is passed through a resistor R32And operational amplifier OP17Is connected to the negative input terminal of an operational amplifier OP16Positive input terminal and voltage terminal V3Connected, operational amplifier OP17Is passed through a resistor R33And operational amplifier OP17Is connected to the negative input terminal of an operational amplifier OP17Is passed through a resistor R35And operational amplifier OP18Is connected to the negative input terminal of an operational amplifier OP18Is connected to the negative input terminal through a resistor R34And a voltage terminal V10Connected, operational amplifier OP18Is connected to the negative input terminal through a resistor R36And operational amplifier OP18Is connected to the output of an operational amplifier OP18Is passed through a resistor R37And operational amplifier OP31Is connected with the negative input end of the power supply; operational amplifier OP19Is passed through a resistor R38And operational amplifier OP20Is connected to the negative input terminal of an operational amplifier OP19Positive input terminal and voltage terminal V4Connected, operational amplifier OP20Is passed through a resistor R39And operational amplifier OP20Is connected to the negative input terminal of an operational amplifier OP20Is passed through a resistor R40And operational amplifier OP18Is connected to the positive input terminal of an operational amplifier OP18Is connected to the positive input end through a resistor R41Is connected with the ground;
operational amplifier OP21Is passed through a resistor R42And operational amplifier OP22Is connected to the negative input terminal of an operational amplifier OP21Positive input terminal and voltage terminal V5Connected, operational amplifier OP22Is passed through a resistor R43And operational amplifier OP22Is connected to the negative input terminal of an operational amplifier OP22Is passed through a resistor R45And operational amplifier OP23Is connected to the negative input terminal of an operational amplifier OP23Is connected to the negative input terminal through a resistor R44And a voltage terminal V11Connected, operational amplifier OP23Is connected to the negative input terminal through a resistor R46And operational amplifier OP23Is connected to the output of an operational amplifier OP23Is passed through a resistor R47And operational amplifier OP31Is connected with the negative input end of the power supply; operational amplifier OP24Is passed through a resistor R48And operational amplifier OP25Is connected to the negative input terminal of an operational amplifier OP24Positive input terminal and voltage terminal V6Connected, operational amplifier OP25Is passed through a resistor R49And operational amplifier OP25Is connected to the negative input terminal of an operational amplifier OP25Is passed through a resistor R50And operational amplifier OP23Is connected to the positive input terminal of an operational amplifier OP23Is connected to the positive input end through a resistor R51Is connected with the ground;
operational amplifier OP26Is passed through a resistor R52And operational amplifier OP27Is connected to the negative input terminal of an operational amplifier OP26Positive input terminal and voltage terminal V7Connected, operational amplifier OP27Is passed through a resistor R53And operational amplifier OP27Is connected to the negative input terminal of an operational amplifier OP27Is passed through a resistor R55And operational amplifier OP28Is connected to the negative input terminal of an operational amplifier OP28Is connected to the negative input terminal through a resistor R54And a voltage terminal V12Connected, operational amplifier OP28Is connected to the negative input terminal through a resistor R56And operational amplifier OP28Is connected to the output of an operational amplifier OP28Is passed through a resistor R57And operational amplifier OP31Is connected with the negative input end of the power supply; operational amplifier OP29Is passed through a resistor R58And operational amplifier OP30Is connected to the negative input terminal of an operational amplifier OP29Positive input terminal and voltage terminal V8Connected, operational amplifier OP30Is passed through a resistor R59And operational amplifier OP30Is connected to the negative input terminal of an operational amplifier OP30Is passed through a resistor R60And operational amplifier OP28Is connected to the positive input terminal of an operational amplifier OP28Is connected to the positive input end through a resistor R61Is connected with the ground;
operational amplifier OP31Is passed through a resistor R62And operational amplifier OP31Negative input terminal connected, operational amplifier OP31The output end of the first switch is connected with the F connecting end;
operational amplifierAmplifier OP1Positive input terminal of, operational amplifier OP2Positive input terminal of, operational amplifier OP3Positive input terminal of, operational amplifier OP4Positive input terminal of, operational amplifier OP5Positive input terminal of, operational amplifier OP6Positive input terminal of, operational amplifier OP7Positive input terminal of, operational amplifier OP8Positive input terminal of, operational amplifier OP9Positive input terminal of, operational amplifier OP12Positive input terminal of, operational amplifier OP15Positive input terminal of, operational amplifier OP17Positive input terminal of, operational amplifier OP20Positive input terminal of, operational amplifier OP22Positive input terminal of, operational amplifier OP25Positive input terminal of, operational amplifier OP27Positive input terminal of, operational amplifier OP30And the operational amplifier OP31Are all grounded, an operational amplifier OP11Negative input terminal of (1), operational amplifier OP14Negative input terminal of (1), operational amplifier OP16Negative input terminal of (1), operational amplifier OP19Negative input terminal of (1), operational amplifier OP21Negative input terminal of (1), operational amplifier OP24Negative input terminal of (1), operational amplifier OP26And operational amplifier OP29Are connected with the x signal output terminal.
Further, a resistance R1To R19Are all precision adjustable resistors or precision adjustable potentiometers.
Further, a resistance R21To the resistance R62Are all precision adjustable resistors or precision adjustable potentiometers.
Further, a multiplier MUL1Multiplier MUL2Multiplier MUL3And multiplier MUL4All the proportionality coefficients of (a) and (b) are 0.1.
In another aspect, an encryption system is provided, wherein the encryption system is encrypted by the multi-wing chaotic signal generator according to any one of the above technical solutions.
The invention has the beneficial effects that: on one hand, the number of the wings generated by the multi-wing chaotic signal generator can reach more than ten. Therefore, the complex chaotic signal can be generated, the signal dimension is improved, and the complexity of the chaotic signal is improved. On the other hand, since the encryption system uses the above-mentioned multi-wing chaotic signal generator for encryption, it also has the beneficial effects of the above-mentioned multi-wing chaotic signal generator, and will not be described repeatedly herein.
Drawings
In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings used in the description of the embodiments will be briefly described below. It is obvious that the described drawings are only a part of the embodiments of the invention, not all embodiments, and that a person skilled in the art will be able to derive other designs and drawings from these drawings without the exercise of inventive effort.
Fig. 1 is a schematic circuit diagram of a basic chaotic signal generating circuit N1;
fig. 2 is a schematic circuit diagram of the nonlinear function generation circuit N2.
Detailed Description
Reference will now be made in detail to the present preferred embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like reference numerals refer to like elements throughout.
In the description of the present invention, it should be understood that the orientation or positional relationship referred to in the description of the orientation, such as up, down, front, rear, left, right, etc., is the orientation or positional relationship shown in the drawings, and is only for convenience of description and simplification of the description of the present invention, and does not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus, should not be construed as limiting the present invention.
In the description of the invention, if words such as "a number" or the like are used, the meaning is one or more, the meaning of a plurality is two or more, more than, less than, more than, etc. are understood as not including the number, and more than, less than, more than, etc. are understood as including the number.
In the description of the present invention, unless otherwise explicitly defined, terms such as setup, installation, connection, and the like should be understood in a broad sense, and those skilled in the art can reasonably determine the specific meanings of the terms in the present invention in combination with the detailed contents of the technical solutions.
Embodiment 1, referring to fig. 1 and 2, a multi-wing chaotic signal generator includes: an x signal output end, a y signal output end, a z signal output end, an F connecting end, a basic chaotic signal generating circuit N1 and a nonlinear function generating circuit N2;
the basic chaotic signal generating circuit N1 includes: operational amplifier OP1To OP9Multiplier MUL1To MUL3Resistance R1To R19And a capacitor C1To C3；
The nonlinear function generation circuit N2 includes: operational amplifier OP10To OP31Multiplier MUL4Resistance R21To the resistance R62And a voltage terminal V1To V12；
Operational amplifier OP1Is passed through a resistor R3And operational amplifier OP1Is connected to the negative input terminal of an operational amplifier OP1Is connected to the negative input terminal through a resistor R1And operational amplifier OP5Is connected to the output of an operational amplifier OP1Is connected to the negative input terminal through a resistor R2And multiplier MUL1Is connected to the output of an operational amplifier OP1Is passed through a resistor R4And operational amplifier OP2Is connected with the negative input end of the power supply;
operational amplifier OP2Is passed through a capacitor C1And operational amplifier OP2Is connected with the negative input end of the power supply; operational amplifier OP2Is passed through a resistor R5And operational amplifier OP3Is connected with the negative input end of the power supply;
operational amplifier OP3Is passed through a resistor R6And transportOP of operational amplifier3Negative input terminal connected, operational amplifier OP3The output end of the X-ray detector is connected with the x signal output end;
operational amplifier OP4Is passed through a resistor R10And operational amplifier OP4Is connected to the negative input terminal of an operational amplifier OP4Is passed through a resistor R11And operational amplifier OP5Is connected to the negative input terminal of an operational amplifier OP4Is connected to the negative input terminal through a resistor R7And operational amplifier OP2Is connected to the output of an operational amplifier OP4Is connected to the negative input terminal through a resistor R8And OP6Is connected to the output of an operational amplifier OP4Is connected to the negative input terminal through a resistor R9And multiplier MUL2The output ends of the two-way valve are connected;
operational amplifier OP5Is passed through a capacitor C2And operational amplifier OP5Is connected to the negative input terminal of an operational amplifier OP5Is passed through a resistor R12And operational amplifier OP6Is connected with the negative input end of the power supply;
operational amplifier OP6Is passed through a resistor R13And operational amplifier OP6Is connected to the negative input terminal of an operational amplifier OP6The output end of the y-shaped switch is connected with the y signal output end;
multiplier MUL1First input terminal of and operational amplifier OP5Is connected to the output of the multiplier MUL1Second input terminal of and operational amplifier OP9The output ends of the two-way valve are connected;
multiplier MUL2First input terminal of and operational amplifier OP3Is connected to the output of the multiplier MUL2Second input terminal of and operational amplifier OP9The output ends of the two-way valve are connected;
multiplier MUL3First input terminal of and operational amplifier OP2Is connected to the output of the multiplier MUL3Second input terminal of and operational amplifier OP6The output ends of the two-way valve are connected;
operational amplifier OP7Is passed through a resistor R17And operational amplifierAmplifier OP7Is connected to the negative input terminal of an operational amplifier OP7Is passed through a resistor R18And operational amplifier OP8Is connected to the negative input terminal of an operational amplifier OP7Is connected to the negative input terminal through a resistor R14And operational amplifier OP9Is connected to the output of an operational amplifier OP7Is connected to the negative input terminal through a resistor R15And multiplier MUL3Is connected to the output of an operational amplifier OP7Is connected to the negative input terminal through a resistor R16Is connected with the F connecting end;
operational amplifier OP8Is passed through a capacitor C3And operational amplifier OP8Is connected to the negative input terminal of an operational amplifier OP8Is passed through a resistor R19And operational amplifier OP9Is connected with the negative input end of the power supply;
operational amplifier OP9Is passed through a resistor R20And operational amplifier OP9Is connected to the negative input terminal of an operational amplifier OP9The output end of the Z-shaped signal input end is connected with the z-shaped signal output end;
operational amplifier OP10And multiplier MUL4Are connected to two input terminals of an operational amplifier OP10Output terminal of and operational amplifier OP10Is connected to the negative input terminal of the multiplier MUL4Is passed through a resistor R21And operational amplifier OP31Is connected to the negative input terminal of an operational amplifier OP10The positive input end is connected with the x signal output end;
operational amplifier OP11Is passed through a resistor R22And operational amplifier OP12Is connected to the negative input terminal of an operational amplifier OP11Positive input terminal and voltage terminal V1Connected, operational amplifier OP12Is passed through a resistor R23And operational amplifier OP12Is connected to the negative input terminal of an operational amplifier OP12Is passed through a resistor R25And operational amplifier OP13Is connected to the negative input terminal of an operational amplifier OP13Is connected to the negative input terminal through a resistor R24And a voltage terminal V9Connected, operational amplifier OP13Is connected to the negative input terminal through a resistor R26And operational amplifier OP13Is connected to the output of an operational amplifier OP13Is passed through a resistor R27And operational amplifier OP31Is connected with the negative input end of the power supply; operational amplifier OP14Is passed through a resistor R28And operational amplifier OP15Is connected to the negative input terminal of an operational amplifier OP14Positive input terminal and voltage terminal V2Connected, operational amplifier OP15Is passed through a resistor R29And operational amplifier OP15Is connected to the negative input terminal of an operational amplifier OP15Is passed through a resistor R30And operational amplifier OP13Is connected to the positive input terminal of an operational amplifier OP13Is connected to the positive input end through a resistor R31Is connected with the ground;
operational amplifier OP16Is passed through a resistor R32And operational amplifier OP17Is connected to the negative input terminal of an operational amplifier OP16Positive input terminal and voltage terminal V3Connected, operational amplifier OP17Is passed through a resistor R33And operational amplifier OP17Is connected to the negative input terminal of an operational amplifier OP17Is passed through a resistor R35And operational amplifier OP18Is connected to the negative input terminal of an operational amplifier OP18Is connected to the negative input terminal through a resistor R34And a voltage terminal V10Connected, operational amplifier OP18Is connected to the negative input terminal through a resistor R36And operational amplifier OP18Is connected to the output of an operational amplifier OP18Is passed through a resistor R37And operational amplifier OP31Is connected with the negative input end of the power supply; operational amplifier OP19Is passed through a resistor R38And operational amplifier OP20Is connected to the negative input terminal of an operational amplifier OP19Positive input terminal and voltage terminal V4Connected, operational amplifier OP20Is passed through a resistor R39And operational amplifier OP20Is connected to the negative input terminal of an operational amplifier OP20Is passed through a resistor R40And operational amplifier OP18Is turning toInput terminal connected, operational amplifier OP18Is connected to the positive input end through a resistor R41Is connected with the ground;
operational amplifier OP21Is passed through a resistor R42And operational amplifier OP22Is connected to the negative input terminal of an operational amplifier OP21Positive input terminal and voltage terminal V5Connected, operational amplifier OP22Is passed through a resistor R43And operational amplifier OP22Is connected to the negative input terminal of an operational amplifier OP22Is passed through a resistor R45And operational amplifier OP23Is connected to the negative input terminal of an operational amplifier OP23Is connected to the negative input terminal through a resistor R44And a voltage terminal V11Connected, operational amplifier OP23Is connected to the negative input terminal through a resistor R46And operational amplifier OP23Is connected to the output of an operational amplifier OP23Is passed through a resistor R47And operational amplifier OP31Is connected with the negative input end of the power supply; operational amplifier OP24Is passed through a resistor R48And operational amplifier OP25Is connected to the negative input terminal of an operational amplifier OP24Positive input terminal and voltage terminal V6Connected, operational amplifier OP25Is passed through a resistor R49And operational amplifier OP25Is connected to the negative input terminal of an operational amplifier OP25Is passed through a resistor R50And operational amplifier OP23Is connected to the positive input terminal of an operational amplifier OP23Is connected to the positive input end through a resistor R51Is connected with the ground;
operational amplifier OP26Is passed through a resistor R52And operational amplifier OP27Is connected to the negative input terminal of an operational amplifier OP26Positive input terminal and voltage terminal V7Connected, operational amplifier OP27Is passed through a resistor R53And operational amplifier OP27Is connected to the negative input terminal of an operational amplifier OP27Is passed through a resistor R55And operational amplifier OP28Is connected to the negative input terminal of an operational amplifier OP28Is connected to the negative input terminal through a resistor R54And a voltage terminal V12Connected, operational amplifier OP28Is connected to the negative input terminal through a resistor R56And operational amplifier OP28Is connected to the output of an operational amplifier OP28Is passed through a resistor R57And operational amplifier OP31Is connected with the negative input end of the power supply; operational amplifier OP29Is passed through a resistor R58And operational amplifier OP30Is connected to the negative input terminal of an operational amplifier OP29Positive input terminal and voltage terminal V8Connected, operational amplifier OP30Is passed through a resistor R59And operational amplifier OP30Is connected to the negative input terminal of an operational amplifier OP30Is passed through a resistor R60And operational amplifier OP28Is connected to the positive input terminal of an operational amplifier OP28Is connected to the positive input end through a resistor R61Is connected with the ground;
operational amplifier OP31Is passed through a resistor R62And operational amplifier OP31Negative input terminal connected, operational amplifier OP31The output end of the first switch is connected with the F connecting end;
operational amplifier OP1Positive input terminal of, operational amplifier OP2Positive input terminal of, operational amplifier OP3Positive input terminal of, operational amplifier OP4Positive input terminal of, operational amplifier OP5Positive input terminal of, operational amplifier OP6Positive input terminal of, operational amplifier OP7Positive input terminal of, operational amplifier OP8Positive input terminal of, operational amplifier OP9Positive input terminal of, operational amplifier OP12Positive input terminal of, operational amplifier OP15Positive input terminal of, operational amplifier OP17Positive input terminal of, operational amplifier OP20Positive input terminal of, operational amplifier OP22Positive input terminal of, operational amplifier OP25Positive input terminal of, operational amplifier OP27Positive input terminal of, operational amplifier OP30And the operational amplifier OP31Are all grounded, an operational amplifier OP11Negative input terminal of (1), operational amplifier OP14Negative input terminal, fortuneOperational amplifier OP16Negative input terminal of (1), operational amplifier OP19Negative input terminal of (1), operational amplifier OP21Negative input terminal of (1), operational amplifier OP24Negative input terminal of (1), operational amplifier OP26And operational amplifier OP29Are connected with the x signal output terminal. Wherein, the multiplier MUL1Multiplier MUL2Multiplier MUL3And multiplier MUL4All the proportionality coefficients of (a) and (b) are 0.1.
According to the circuit connection of fig. 1 and fig. 2, the state equation of the multi-wing chaotic signal generator can be obtained as follows:
wherein:
F1＝1.61,F2＝1.81,F3＝2.64,F4＝3.6；E1＝0.94,E2＝1.4,E3＝1.87,E4＝2.26。
to verify that the invention can generate wing numbers, the circuit elements of the invention were selected: all operational amplifiers in fig. 1 and 2 are model TL 082. The multiplier in fig. 1 and 2 has model number AD 633. In order to facilitate circuit experiments and ensure the accuracy of the resistance value, all the resistors in fig. 1 and 2 adopt a precision resistor or a precision adjustable potentiometer.
The component parameter table of the invention is as follows:
TABLE 1
Table 1 shows the resistance values of the respective resistors, wherein the unit of the resistor is k Ω. Such as a resistor R1Has a resistance value of 100kΩResistance R2Resistance value of 2kΩ。
TABLE 2
Table 2 shows the level values in V in each voltage terminal. Such as voltage terminal V1Has a level value of-0.94V and a voltage terminal V2Is 0.94V.
TABLE 3
| C1 | 33 | C2 | 33 | C3 | 33 |
Table 3 showsThe capacitance value in each capacitor, where the unit is nF. Such as a capacitor C1Has a capacitance value of 33nF, a capacitance C2Has a capacitance value of 33 nF.
Through verification, the number of the wings generated by the multi-wing chaotic signal generator can reach more than ten. Therefore, the complex chaotic signal can be generated, the signal dimension is improved, and the complexity of the chaotic signal is improved.
The embodiment also provides an encryption system, wherein the encryption system is encrypted by the multi-wing chaotic signal generator in any one of the embodiments. Because the multi-wing chaotic signal generator is used for encryption, the encryption system has larger key space and stronger system anti-deciphering capability.
While the preferred embodiments of the present invention have been described in detail, it will be understood by those skilled in the art that the invention is not limited to the details of the embodiments shown, but is capable of various modifications and substitutions without departing from the spirit of the invention.
Claims (6)
1. A multi-wing chaotic signal generator, characterized in that: the state equation of the chaotic signal generator is as follows:
wherein, F1＝1.61,F2＝1.81,F3＝2.64,F4＝3.6；
E1＝0.94,E2＝1.4,E3＝1.87,E4＝2.26。
2. The multi-wing chaotic signal generator of claim 1, comprising: an x signal output end, a y signal output end, a z signal output end, an F connecting end, a basic chaotic signal generating circuit N1 and a nonlinear function generating circuit N2;
the basic chaotic signal generating circuit N1 includes: operational amplifier OP1To OP9Multiplier MUL1To MUL3Resistance R1To R19And a capacitor C1To C3；
The nonlinear function generation circuit N2 includes: operational amplifier OP10To OP31Multiplier MUL4Resistance R21To the resistance R62And a voltage terminal V1To V12；
Operational amplifier OP1Is passed through a resistor R3And operational amplifier OP1Is connected to the negative input terminal of an operational amplifier OP1Is connected to the negative input terminal through a resistor R1And operational amplifier OP5Is connected to the output of an operational amplifier OP1Is connected to the negative input terminal through a resistor R2And multiplier MUL1Is connected to the output of an operational amplifier OP1Is passed through a resistor R4And operational amplifier OP2Is connected with the negative input end of the power supply;
operational amplifier OP2Is passed through a capacitor C1And operational amplifier OP2Is connected with the negative input end of the power supply; operational amplifier OP2Is passed through a resistor R5And operational amplifier OP3Is connected with the negative input end of the power supply;
operational amplifier OP3Is passed through a resistor R6OP with operational amplifier3Negative input terminal connected, operational amplifier OP3The output end of the X-ray detector is connected with the x signal output end;
operational amplifier OP4Is passed through a resistor R10And operational amplifier OP4Is connected to the negative input terminal of an operational amplifier OP4Is passed through a resistor R11And operational amplifier OP5Is connected to the negative input terminal of an operational amplifier OP4Is connected to the negative input terminal through a resistor R7And operational amplifier OP2Is connected to the output of an operational amplifier OP4Is connected to the negative input terminal through a resistor R8And OP6Is connected to the output of an operational amplifier OP4Is connected to the negative input terminal through a resistor R9And multiplier MUL2The output ends of the two-way valve are connected;
operational amplifier OP5Is passed through a capacitor C2And operational amplifier OP5Is connected to the negative input terminal of an operational amplifier OP5Is passed through a resistor R12And operational amplifier OP6Is connected with the negative input end of the power supply;
operational amplifier OP6Is passed through a resistor R13And operational amplifier OP6Is connected to the negative input terminal of an operational amplifier OP6The output end of the y-shaped switch is connected with the y signal output end;
multiplier MUL1First input terminal of and operational amplifier OP5Is connected to the output of the multiplier MUL1Second input terminal of and operational amplifier OP9The output ends of the two-way valve are connected;
multiplier MUL2First input terminal of and operational amplifier OP3Is connected to the output of the multiplier MUL2Second input terminal of and operational amplifier OP9The output ends of the two-way valve are connected;
multiplier MUL3First input terminal of and operational amplifier OP2Is connected to the output of the multiplier MUL3Second input terminal of and operational amplifier OP6The output ends of the two-way valve are connected;
operational amplifier OP7Is passed through a resistor R17And operational amplifier OP7Is connected to the negative input terminal of an operational amplifier OP7Is passed through a resistor R18And operational amplifier OP8Is connected to the negative input terminal of an operational amplifier OP7Is connected to the negative input terminal through a resistor R14And operational amplifier OP9Is connected to the output of an operational amplifier OP7Is connected to the negative input terminal through a resistor R15And multiplier MUL3Is connected to the output of an operational amplifier OP7Is connected to the negative input terminal through a resistor R16Is connected with the F connecting end;
operational amplifier OP8Is passed through a capacitor C3And operational amplifier OP8Is connected to the negative input terminal of an operational amplifier OP8Is passed through a resistor R19And operational amplifier OP9Is connected with the negative input end of the power supply;
operational amplifier OP9Is passed through a resistor R20And operational amplifier OP9Is connected to the negative input terminal of an operational amplifier OP9The output end of the Z-shaped signal input end is connected with the z-shaped signal output end;
operational amplifier OP10And multiplier MUL4Are connected to two input terminals of an operational amplifier OP10Output terminal of and operational amplifier OP10Is connected to the negative input terminal of the multiplier MUL4Is passed through a resistor R21And operational amplifier OP31Is connected to the negative input terminal of an operational amplifier OP10The positive input end is connected with the x signal output end;
operational amplifier OP11Is passed through a resistor R22And operational amplifier OP12Is connected to the negative input terminal of an operational amplifier OP11Positive input terminal and voltage terminal V1Connected, operational amplifier OP12Is passed through a resistor R23And operational amplifier OP12Is connected to the negative input terminal of an operational amplifier OP12Is passed through a resistor R25And operational amplifier OP13Is connected to the negative input terminal of an operational amplifier OP13Is connected to the negative input terminal through a resistor R24And a voltage terminal V9Connected, operational amplifier OP13Is connected to the negative input terminal through a resistor R26And operational amplifier OP13Is connected to the output of an operational amplifier OP13Is passed through a resistor R27And operational amplifier OP31Is connected with the negative input end of the power supply; operational amplifier OP14Is passed through a resistor R28And operational amplifier OP15Is connected to the negative input terminal of an operational amplifier OP14Positive input terminal and voltage terminal V2Connected, operational amplifier OP15Is passed through a resistor R29And operational amplifier OP15Is connected to the negative input terminal of an operational amplifier OP15Is passed through a resistor R30And operational amplifier OP13Is connected to the positive input terminal of an operational amplifier OP13Is connected to the positive input end through a resistor R31Is connected with the ground;
operational amplifier OP16Is passed through a resistor R32And operational amplifier OP17Is connected to the negative input terminal of an operational amplifier OP16Positive input terminal and voltage terminal V3Connected, operational amplifier OP17Is passed through a resistor R33And operational amplifier OP17Is connected to the negative input terminal of an operational amplifier OP17Is passed through a resistor R35And operational amplifier OP18Is connected to the negative input terminal of an operational amplifier OP18Is connected to the negative input terminal through a resistor R34And a voltage terminal V10Connected, operational amplifier OP18Is connected to the negative input terminal through a resistor R36And operational amplifier OP18Is connected to the output of an operational amplifier OP18Is passed through a resistor R37And operational amplifier OP31Is connected with the negative input end of the power supply; operational amplifier OP19Is passed through a resistor R38And operational amplifier OP20Is connected to the negative input terminal of an operational amplifier OP19Positive input terminal and voltage terminal V4Connected, operational amplifier OP20Is passed through a resistor R39And operational amplifier OP20Is connected to the negative input terminal of an operational amplifier OP20Is passed through a resistor R40And operational amplifier OP18Is connected to the positive input terminal of an operational amplifier OP18Is connected to the positive input end through a resistor R41Is connected with the ground;
operational amplifier OP21Output terminal of the resistorR42And operational amplifier OP22Is connected to the negative input terminal of an operational amplifier OP21Positive input terminal and voltage terminal V5Connected, operational amplifier OP22Is passed through a resistor R43And operational amplifier OP22Is connected to the negative input terminal of an operational amplifier OP22Is passed through a resistor R45And operational amplifier OP23Is connected to the negative input terminal of an operational amplifier OP23Is connected to the negative input terminal through a resistor R44And a voltage terminal V11Connected, operational amplifier OP23Is connected to the negative input terminal through a resistor R46And operational amplifier OP23Is connected to the output of an operational amplifier OP23Is passed through a resistor R47And operational amplifier OP31Is connected with the negative input end of the power supply; operational amplifier OP24Is passed through a resistor R48And operational amplifier OP25Is connected to the negative input terminal of an operational amplifier OP24Positive input terminal and voltage terminal V6Connected, operational amplifier OP25Is passed through a resistor R49And operational amplifier OP25Is connected to the negative input terminal of an operational amplifier OP25Is passed through a resistor R50And operational amplifier OP23Is connected to the positive input terminal of an operational amplifier OP23Is connected to the positive input end through a resistor R51Is connected with the ground;
operational amplifier OP26Is passed through a resistor R52And operational amplifier OP27Is connected to the negative input terminal of an operational amplifier OP26Positive input terminal and voltage terminal V7Connected, operational amplifier OP27Is passed through a resistor R53And operational amplifier OP27Is connected to the negative input terminal of an operational amplifier OP27Is passed through a resistor R55And operational amplifier OP28Is connected to the negative input terminal of an operational amplifier OP28Is connected to the negative input terminal through a resistor R54And a voltage terminal V12Connected, operational amplifier OP28Is connected to the negative input terminal through a resistor R56And operational amplifier OP28Is connected to the output of an operational amplifier OP28Is passed through a resistor R57And operational amplifier OP31Is connected with the negative input end of the power supply; operational amplifier OP29Is passed through a resistor R58And operational amplifier OP30Is connected to the negative input terminal of an operational amplifier OP29Positive input terminal and voltage terminal V8Connected, operational amplifier OP30Is passed through a resistor R59And operational amplifier OP30Is connected to the negative input terminal of an operational amplifier OP30Is passed through a resistor R60And operational amplifier OP28Is connected to the positive input terminal of an operational amplifier OP28Is connected to the positive input end through a resistor R61Is connected with the ground;
operational amplifier OP31Is passed through a resistor R62And operational amplifier OP31Negative input terminal connected, operational amplifier OP31The output end of the first switch is connected with the F connecting end;
operational amplifier OP1Positive input terminal of, operational amplifier OP2Positive input terminal of, operational amplifier OP3Positive input terminal of, operational amplifier OP4Positive input terminal of, operational amplifier OP5Positive input terminal of, operational amplifier OP6Positive input terminal of, operational amplifier OP7Positive input terminal of, operational amplifier OP8Positive input terminal of, operational amplifier OP9Positive input terminal of, operational amplifier OP12Positive input terminal of, operational amplifier OP15Positive input terminal of, operational amplifier OP17Positive input terminal of, operational amplifier OP20Positive input terminal of, operational amplifier OP22Positive input terminal of, operational amplifier OP25Positive input terminal of, operational amplifier OP27Positive input terminal of, operational amplifier OP30And the operational amplifier OP31Are all grounded, an operational amplifier OP11Negative input terminal of (1), operational amplifier OP14Negative input terminal of (1), operational amplifier OP16Negative input terminal of (1), operational amplifier OP19Negative input terminal of (1), operational amplifier OP21Negative input terminal of (1), operational amplifier OP24Negative input terminal, operational amplifierAmplifier OP26And operational amplifier OP29Are connected with the x signal output terminal.
3. The multi-wing chaotic signal generator of claim 2, wherein: resistance R1To R19Are all precision adjustable resistors or precision adjustable potentiometers.
4. The multi-wing chaotic signal generator of claim 2, wherein: resistance R21To the resistance R62Are all precision adjustable resistors or precision adjustable potentiometers.
5. The multi-wing chaotic signal generator of claim 2, wherein: multiplier MUL1Multiplier MUL2Multiplier MUL3And multiplier MUL4All the proportionality coefficients of (a) and (b) are 0.1.
6. An encryption system, wherein the encryption system is encrypted by the multi-wing chaotic signal generator of any one of claims 1 to 5.
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