CN102694643A - Composite chaotic signal generator - Google Patents

Composite chaotic signal generator Download PDF

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Publication number
CN102694643A
CN102694643A CN2012101295561A CN201210129556A CN102694643A CN 102694643 A CN102694643 A CN 102694643A CN 2012101295561 A CN2012101295561 A CN 2012101295561A CN 201210129556 A CN201210129556 A CN 201210129556A CN 102694643 A CN102694643 A CN 102694643A
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operational amplifier
output
resistance
mul
connect
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CN102694643B (en
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张朝霞
禹思敏
周如旗
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GUANGDONG SECOND NORMAL COLLEGE
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GUANGDONG SECOND NORMAL COLLEGE
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Abstract

The invention discloses a composite chaotic signal generator which comprises a basic chaotic signal generation circuit N1, a sequence generator N2, a sequence generator N3 and a sequence generator N4, wherein the sequence generator N2, the sequence generator N3 and the sequence generator N4 are used for generating switching control functions. An output end of the basic chaotic signal generation circuit N1 is respectively connected with an input end of the sequence generator N2, an input end of the sequence generator N3 and an input end of the sequence generator N4. An output end of each of the sequence generator N2, the sequence generator N3 and the sequence generator N4 are connected with an input end of the basic chaotic signal generation circuit N1. The sequence generators for generating switching control functions enable hardware of the composite chaotic signal generator to be realized more easily. The composite chaotic signal generator can generate a composite Lorenz-Chen-Lu chaotic system to enhance chaotic encryption.

Description

A kind of composite chaotic signal generator
Technical field
The present invention relates to chaos circuit required in the chaotic secret communication, be specifically related to a kind of compound Lorenz-Chen-L ü chaos signal generator based on the switching controls function.
Background technology
How to produce and be used for the frontier that the required various chaos circuits of chaotic secret communication are nonlinear circuit and systematics section research in recent years; Some relevant achievements in research have been obtained at present; Patent documentation like Chinese patent Granted publication CN1199968A discloses a kind of deformed cai's circuit; But do not relate to the compound of a plurality of dipteron wing chaos attractors in the Generalized Lorenz system, therefore, be used for chaotic secure communication and also have limitation.
Summary of the invention
In order to overcome the deficiency of prior art, the purpose of this invention is to provide a kind of composite chaotic signal generator, make chaos signal generator hardware more be prone to realize that encryption is stronger.
To achieve these goals, the present invention takes following scheme:
A kind of composite chaotic signal generator comprises that the basic chaotic signal of being made up of operational amplifier and multiplier produces circuit N1, is used to produce the switching controls function S 1(z) sequencer N2, be used to produce the switching controls function S 2(z) sequencer N3, be used to produce the switching controls function S 3(z) sequencer N4; The output that said basic chaotic signal produces circuit N1 is connected with the input of sequencer N2, sequencer N3, sequencer N4 respectively, and the output of sequencer N2, sequencer N3, sequencer N4 all is connected with the input that basic chaotic signal produces circuit N1.
Said basic chaotic signal produces circuit N1 and comprises 22 operational amplifiers and 15 multipliers; Said 22 operational amplifiers are respectively OP 1, OP 2, OP 3, OP 4, OP 5, OP 6, OP 7, OP 8, OP 9, OP 10, OP 11, OP 12, OP 13, OP 14, OP 15, OP 16, OP 17, OP 18, OP 19, OP 20, OP 21, OP 22, said 15 multipliers are respectively MUL 1, MUL 2, MUL 3, MUL 4, MUL 5, MUL 6, MUL 7, MUL 8, MUL 9, MUL 10, MUL 11, MUL 12, MUL 13, MUL 14, MUL 15
Said operational amplifier OP 1Output be connected with the input of sequencer N2, sequencer N3, sequencer N4 respectively; And respectively through resistance and OP 12, OP 17, OP 22Positive input terminal connect;
Said operational amplifier OP 3Output respectively through resistance and operational amplifier OP 8, OP 9, OP 14, OP 19Negative input end connect; And with multiplier MUL 11Input connect;
Said operational amplifier OP 5Output respectively through resistance and operational amplifier OP 7, OP 10, OP 13, OP 15, OP 18Negative input end connect; And with multiplier MUL 10, MUL 12, MUL 13, MUL 14, MUL 15Input connect; MUL 14Another input termination voltage E 5
Said multiplier MUL 1, MUL 4, MUL 7Output all through resistance and operational amplifier OP 6Negative input end, output connect; Operational amplifier OP 6Output through resistance and operational amplifier OP 5Negative input end connect;
Said multiplier MUL 2, MUL 5, MUL 8Output all through resistance and operational amplifier OP 4Negative input end, output connect; Operational amplifier OP 4Output through resistance and operational amplifier OP 3Negative input end connect;
Said multiplier MUL 3, MUL 6, MUL 9Output all through resistance and operational amplifier OP 2Negative input end, output connect; Operational amplifier OP 2Output through resistance and operational amplifier OP 1Negative input end connect;
Said operational amplifier OP 8Output and operational amplifier OP 7Negative input end connect operational amplifier OP 7Output and multiplier MUL 1Input connect; Said operational amplifier OP 10Output through resistance and operational amplifier OP 9Negative input end connect operational amplifier OP 9Output and multiplier MUL 2Input connect; Operational amplifier OP 10Output and multiplier MUL 11Another input connect; Multiplier MUL 11Output through resistance and operational amplifier OP 11Negative input end connect operational amplifier OP 11Output and multiplier MUL 3Input connect; Operational amplifier OP 12Output and multiplier MUL 10Another input connect multiplier MUL 10Output through resistance and operational amplifier OP 9Negative input end connect; Operational amplifier OP 12Output is through resistance and operational amplifier OP 11Negative input end connects;
Operational amplifier OP 14Output is through resistance and operational amplifier OP 13Negative input end connects; Operational amplifier OP 13Output and multiplier MUL 4Input connect operational amplifier OP 14Output is also through resistance and operational amplifier OP 15Negative input end connects; Operational amplifier OP 15Output and multiplier MUL 5Input connect operational amplifier OP 14Output and multiplier MUL 13Another input connect; Multiplier MUL 13Output through resistance and operational amplifier OP 16Negative input end connect operational amplifier OP 16Output and multiplier MUL 6Input connect; Operational amplifier OP 17Output and multiplier MUL 12Another input connect multiplier MUL 12Output through resistance and operational amplifier OP 15Negative input end connect;
Operational amplifier OP 19Output is through resistance and operational amplifier OP 18Negative input end connects; Operational amplifier OP 18Output and multiplier MUL 7Input connect operational amplifier OP 19Output is also through resistance and operational amplifier OP 20Negative input end connects; Operational amplifier OP 20Output and multiplier MUL 8Input connect operational amplifier OP 19Output and multiplier MUL 15Another input connect; Multiplier MUL 15Output through resistance and operational amplifier OP 21Negative input end connect operational amplifier OP 21Output and multiplier MUL 9Input connect; Multiplier MUL 14Output through resistance and operational amplifier OP 20Negative input end connect;
The output of said sequencer N2 respectively with multiplier MUL 1, MUL 2, MUL 3Another input connect; The output of said sequencer N3 respectively with multiplier MUL 4, MUL 5, MUL 6Another input connect; The output of said sequencer N4 respectively with multiplier MUL 7, MUL 8, MUL 9Another input connect;
Said operational amplifier OP 1, OP 2, OP 3, OP 4, OP 5, OP 6, OP 7, OP 8, OP 9, OP 10, OP 11, OP 13, OP 14, OP 15, OP 16, OP 18, OP 19, OP 20, OP 21Positive input terminal ground connection;
Said operational amplifier OP 12Positive-negative input end passes through grounding through resistance, operational amplifier OP respectively 12Positive input terminal meet vectorial translational movement E through resistance Z1, OP 22Positive-negative input end respectively through grounding through resistance, operational amplifier OP 22Positive input terminal meet vectorial translational movement E through resistance Z2Said operational amplifier OP 17Negative input end through grounding through resistance, positive input terminal meets vectorial translational movement E through resistance Z3
Said sequencer N2 comprises operational amplifier OP 23, OP 24, OP 25, OP 26, OP 27, OP 36, OP 37Said basic chaotic signal produces the first operational amplifier OP among the circuit N1 1Output through resistance respectively with operational amplifier OP 23, OP 26Positive input terminal connect operational amplifier OP 23Positive input terminal also through resistance respectively ground connection and voltage E 1, operational amplifier OP 23Negative input end through grounding through resistance, and through resistance and operational amplifier OP 23Output connect operational amplifier OP 23Output and operational amplifier OP 36Negative input end connect operational amplifier OP 36Output through resistance and operational amplifier OP 24Negative input end connect operational amplifier OP 36Positive input terminal ground connection, operational amplifier OP 24Negative input end through resistance and operational amplifier OP 24Output connect operational amplifier OP 24Positive input terminal ground connection, operational amplifier OP 24Output through resistance and operational amplifier OP 25Positive input terminal connect operational amplifier OP 25Positive input terminal through grounding through resistance, operational amplifier OP 25Negative input end through resistance and operational amplifier OP 25Output connect.
Operational amplifier OP 26Positive input terminal also through grounding through resistance, operational amplifier OP 26Negative input end meet voltage E through resistance 2, and through resistance and operational amplifier OP 26Output connect operational amplifier OP 26Output and operational amplifier OP 37Negative input end connect operational amplifier OP 37Output through resistance and operational amplifier OP 27Negative input end connect operational amplifier OP 37Positive input terminal ground connection, operational amplifier OP 27Negative input end through resistance and operational amplifier OP 27Output connect operational amplifier OP 27Positive input terminal ground connection; Operational amplifier OP 27Output through resistance and operational amplifier OP 25Negative input end connect operational amplifier OP 25Output produce the first multiplier MUL among the circuit N1 with basic chaotic signal respectively 1, the second multiplier MUL 2, the 3rd multiplier MUL 3Input connect.
Said sequencer N3 comprises operational amplifier OP 28, OP 29, OP 30, OP 31Said basic chaotic signal produces the first operational amplifier OP among the circuit N1 1Output through resistance and operational amplifier OP 28Positive input terminal connect operational amplifier OP 28Positive input terminal pass through grounding through resistance; Operational amplifier OP 28Negative input end meet voltage E through resistance 3, operational amplifier OP 28Negative input end through resistance and operational amplifier OP 28Output connect operational amplifier OP 28Output and operational amplifier OP 29Negative input end connect operational amplifier OP 29Positive input terminal ground connection, operational amplifier OP 29Output through resistance and operational amplifier OP 30Negative input end connect operational amplifier OP 30Negative input end through resistance and operational amplifier OP 30Output connect operational amplifier OP 30Positive input terminal ground connection; Operational amplifier OP 30Output through resistance and operational amplifier OP 31Positive input terminal connect operational amplifier OP 31Positive input terminal through resistance respectively ground connection, voltage; Operational amplifier OP 31Negative input end through grounding through resistance, and through resistance and operational amplifier OP 31Output connect operational amplifier OP 31Output produce the 4th multiplier MUL among the circuit N1 with basic chaotic signal respectively 4, the 5th multiplier MUL 5, the 6th multiplier MUL 6Input connect.
Said sequencer N4 comprises operational amplifier OP 32, OP 33, OP 34, OP 35Said basic chaotic signal produces the first operational amplifier OP among the circuit N1 1Output through resistance and operational amplifier OP 32Positive input terminal connect operational amplifier OP 32Positive input terminal through grounding through resistance, operational amplifier OP 32A negative input meet voltage E through resistance 4, and through resistance and operational amplifier OP 32Output connect operational amplifier OP 32Output through operational amplifier OP 33And resistance and operational amplifier OP 34Negative input end connect operational amplifier OP 34Negative input end through resistance and operational amplifier OP 34Output connect operational amplifier OP 34Output through resistance and operational amplifier OP 35Negative input end connect operational amplifier OP 35Negative input end through resistance and operational amplifier OP 35Output connect operational amplifier OP 35Positive input terminal through resistance respectively ground connection, voltage; Operational amplifier OP 35Output produce the 7th multiplier MUL among the circuit N1 with basic chaotic signal respectively 7, the 8th multiplier MUL 8, the 9th multiplier MUL 9Input connect.
Sequencer N2, sequencer N3, sequencer N4 produce compound Lorenz-Chen-L ü chaotic signal as switch controller, and its hardware circuit more is prone to realize.
The present invention's beneficial effect compared with present technology is: 1) owing to produce compound Lorenz-Chen-L ü chaotic signal with the staircase waveform sequence of function as switch controller, the realization of its hardware circuit is more prone to; 2) adopt chaos signal generator of the present invention, can produce the composite chaotic signal of Lorenz-Chen-L ü system, be used for the encryption of communication, its performance is better.
Description of drawings
Fig. 1 is a general structure sketch map of the present invention;
Fig. 2 is for producing the switching controls function S 1(z) circuit diagram of sequencer N2;
Fig. 3 is for producing the switching controls function S 2(z) circuit diagram of sequencer N3;
Fig. 4 is for producing the switching controls function S 3(z) circuit diagram of sequencer N4.
Embodiment
Each device among the figure:
OP 1～OP 22: basic chaotic signal produces the operational amplifier of circuit N1;
MUL 1～MUL 15: basic chaotic signal produces the multiplier of circuit N1;
OP 23～OP 27, OP 36, OP 37: produce the switching controls function S 1(z) operational amplifier of sequencer N2;
OP 28～OP 31: produce the switching controls function S 2(z) operational amplifier of sequencer N3;
OP 32～OP 35: produce the switching controls function S 3(z) operational amplifier of sequencer N4;
E 1, E 2: produce the switching controls function S 1(z) the time-delay voltage of sequencer N2;
E 3: produce the switching controls function S 2(z) the time-delay voltage of sequencer N3;
E 4: produce the switching controls function S 3(z) the time-delay voltage of sequencer N4;
E Z1: the translational movement of Lorenz system on Z-direction;
E Z2: the translational movement of Chen system on Z-direction;
E Z3: the translational movement of L ü system on Z-direction.
Below implement to be used to explain the present invention, but be not used for limiting scope of the present invention.
As shown in Figure 1, a kind of compound Lorenz-Chen-L ü chaos signal generator of the present invention comprises that basic chaotic signal produces circuit N1, is used to produce the switching controls function S 1(z) sequencer N2, be used to produce the switching controls function S 2(z) sequencer N3, be used to produce the switching controls function S 3(z) sequencer N4.Basic chaotic signal produces the first operational amplifier OP among the circuit N1 1Output is connected with the input of sequencer N2, sequencer N3, sequencer N4 respectively, and the output of sequencer N2 produces the first multiplier MUL among the circuit N1 with basic chaotic signal respectively 1, the second multiplier MUL 2, the 3rd multiplier MUL 3Input connect; The output of sequencer N3 produces the 4th multiplier MUL among the circuit N1 with basic chaotic signal respectively 4, the 5th multiplier MUL 5, the 6th multiplier MUL 6Input connect; The output of sequencer N4 produces the 7th multiplier MUL among the circuit N1 with basic chaotic signal respectively 7, the 8th multiplier MUL 8, the 9th multiplier MUL 9Input connect.The inside of circuit various piece constitutes and annexation each other is:
Basic chaos produces circuit N1 and is made up of 22 operational amplifiers and 15 multipliers, and its concrete annexation is as shown in Figure 1, wherein OP 2, OP 4, OP 6, OP 8, OP 10, OP 14, OP 19Be inverter, OP 1, OP 3, OP 5For, OP 12, OP 17, OP 22Be plus and minus calculation device, OP 7, OP 9, OP 11, OP 13, OP 15, OP 16, OP 18, OP 20, OP 21Be anti-phase summation operation device, MUL 1～MUL 15Be multiplier.
Produce the switching controls function S 1(z) sequencer N2, its signal input part produces integrator OP among the circuit N1 with basic chaotic signal 1Output link to each other, its signal output part produces the first multiplier MUL among the circuit N1 with basic chaotic signal respectively 1, the second multiplier MUL 2, the 3rd multiplier MUL 3One of them input link to each other.
As shown in Figure 2, sequencer N2 is by operational amplifier OP 23, OP 24, OP 25, OP 26, OP 27, OP 36, OP 37Said operational amplifier OP 1Output through resistance respectively with operational amplifier OP 23, OP 26Positive input terminal connect operational amplifier OP 23Positive input terminal also through resistance respectively ground connection and voltage E 1, operational amplifier OP 23Negative input end through grounding through resistance, and through resistance and operational amplifier OP 23Output connect operational amplifier OP 23Output and operational amplifier OP 36Negative input end connect operational amplifier OP 36Output through resistance and operational amplifier OP 24Negative input end connect operational amplifier OP 36Positive input terminal ground connection, operational amplifier OP 24Negative input end through resistance and operational amplifier OP 24Output connect operational amplifier OP 24Positive input terminal ground connection, operational amplifier OP 24Output through resistance and operational amplifier OP 25Positive input terminal connect operational amplifier OP 25Positive input terminal through grounding through resistance, operational amplifier OP 25Negative input end through resistance and operational amplifier OP 25Output connect.
Operational amplifier OP 26Positive input terminal also through grounding through resistance, operational amplifier OP 26Negative input end meet voltage E through resistance 2, and through resistance and operational amplifier OP 26Output connect operational amplifier OP 26Output and operational amplifier OP 37Negative input end connect operational amplifier OP 37Output through resistance and operational amplifier OP 27Negative input end connect operational amplifier OP 37Positive input terminal ground connection, operational amplifier OP 27Negative input end through resistance and operational amplifier OP 27Output connect operational amplifier OP 27Positive input terminal ground connection; Operational amplifier OP 27Output through resistance and operational amplifier OP 25Negative input end connect operational amplifier OP 25Output produce the first multiplier MUL among the circuit N1 with basic chaotic signal respectively 1, the second multiplier MUL 2, the 3rd multiplier MUL 3Input connect.
Produce the switching controls function S 2(z) sequencer N3, the signal input part of this generator links to each other with the output that basic chaotic signal produces integrator OP1 among the circuit N1, and its signal output part produces the 4th multiplier MUL among the circuit N1 with basic chaotic signal respectively 4, the 5th multiplier MUL 5, the 6th multiplier MUL 6One of them input link to each other.
As shown in Figure 3, sequencer N3 is by operational amplifier OP 28, OP 29, OP 30, OP 31Said operational amplifier OP 1Output through resistance and operational amplifier OP 28Positive input terminal connect operational amplifier OP 28Positive input terminal pass through grounding through resistance; Operational amplifier OP 28Negative input end meet voltage E through resistance 3, operational amplifier OP 28Negative input end through resistance and operational amplifier OP 28Output connect operational amplifier OP 28Output and operational amplifier OP 29Negative input end connect operational amplifier OP 29Positive input terminal ground connection, operational amplifier OP 29Output through resistance and operational amplifier OP 30Negative input end connect operational amplifier OP 30Negative input end through resistance and operational amplifier OP 30Output connect operational amplifier OP 30Positive input terminal ground connection; Operational amplifier OP 30Output through resistance and operational amplifier OP 31Positive input terminal connect operational amplifier OP 31Positive input terminal through resistance respectively ground connection, voltage; Operational amplifier OP 31Negative input end through grounding through resistance, and through resistance and operational amplifier OP 31Output connect operational amplifier OP 31Output produce the 4th multiplier MUL among the circuit N1 with basic chaotic signal respectively 4, the 5th multiplier MUL 5, the 6th multiplier MUL 6Input connect.
Produce the switching controls function S 1(z) sequencer N4, the signal input part of this generator produces OP among the circuit N1 with basic chaotic signal 1Output link to each other, its signal output part produces the 7th multiplier MUL among the circuit N1 with basic chaotic signal respectively 7, the 8th multiplier MUL 8, the 9th multiplier MUL 9One of them input link to each other.
As shown in Figure 4, sequencer N4 is by operational amplifier OP 32, OP 33, OP 34, OP 35Said operational amplifier OP 1Output through resistance and operational amplifier OP 32Positive input terminal connect operational amplifier OP 32Positive input terminal through grounding through resistance, operational amplifier OP 32A negative input meet voltage E through resistance 4, and through resistance and operational amplifier OP 32Output connect operational amplifier OP 32Output through operational amplifier OP 33And resistance and operational amplifier OP 34Negative input end connect operational amplifier OP 34Negative input end through resistance and operational amplifier OP 34Output connect operational amplifier OP 34Output through resistance and operational amplifier OP 35Negative input end connect operational amplifier OP 35Negative input end through resistance and operational amplifier OP 35Output connect operational amplifier OP 35Positive input terminal through resistance respectively ground connection, voltage; Operational amplifier OP 35Output produce the 7th multiplier MUL among the circuit N1 with basic chaotic signal respectively 7, the 8th multiplier MUL 8, the 9th multiplier MUL 9Input connect.
According to Fig. 1-Fig. 4 connecting circuit,, can confirm the parameter of each components and parts among each figure according to the data that table 1, table 2 provide.Circuit produces compound Lorenz-Chen-L ü chaotic signal.
According to Fig. 2, the switching controls function S of calling sequence generator N2 1(z) mathematic(al) representation does
S 1(z)＝0.5(sgn(z+0.5)-sgn(z-0.5)) (1)
According to Fig. 3, the switching controls function S of calling sequence generator N3 2(z) mathematic(al) representation does
S 2(z)＝0.5(1+sgn(z-0.5)) (2)
According to Fig. 4, the switching controls function S of calling sequence generator N4 3(z) mathematic(al) representation does
S 3(z)＝0.5(1-sgn(z+0.5)) (3)
The state equation that can produce compound Lorenz-Chen-L ü chaotic signal is a following formula:
x = ( - a 1 x + a 1 y ) · S 1 ( z ) + ( - a 2 x + a 2 y ) · S 2 ( z ) + ( - a 3 x + a 3 y ) · S 3 ( z ) y = [ b 1 x - x ( z - z 1 ) / K 1 - y ] · S 1 ( z ) + [ ( c 2 - a 2 ) x + c 2 y - x ( z - z 2 ) / K 2 ] · S 2 ( z ) + [ - x ( z - z 3 ) / K 3 + c 3 y ] · S 3 ( z ) z = [ xy / K 1 - c 1 ( z - z 1 ) ] · S 1 ( z ) + [ xy / K 2 - b 2 ( z - z 2 ) ] · S 2 ( z ) + [ ( xy / K 3 - b 3 ( z - z 3 ) ] · S 3 ( z )
A in the following formula 1=10, b 1=28, c 1=2.67, a 2=35, b 2=2.67, c 2=28, a 3=36, b 3=3, c 3=20, K 1=1/38, K 2=1/36, K 3=1/30, z 1=-0.75, z 2=0.14, z 3=-1.65.
The selection of circuit element of the present invention and supply voltage: all operational amplifier among Fig. 1～Fig. 4, model is TL082, supply voltage is ± E=± 15V that the saturation value that experiment records each operational amplifier output voltage this moment is V Sat=± 13.5V.All multiplier among Fig. 1～Fig. 4, model is AD633, supply voltage is ± E=± 15V.For the ease of Experiment of Electrical Circuits, in order to guarantee the accuracy of resistance value, all resistance all adopt accurate adjustable resistance or accurate adjustable potentiometer among Fig. 1～Fig. 4.
Component parameter table of the present invention is following:
Table 1 (unit: k Ω)
R1 100 R11 36 R21 1
R2 100 R12 2.78 R22 1
R3 28 R13 3.3 R23 1
R4 28 R14 50 R24 10
R5 27 R15 2.63 R25 10
R6 27 R16 375 R26 10
R7 35 R17 2.78 R27 10
R8 2.63 R18 375 R28 10
R9 1000 R19 3.3 R29 10
R10 143 R20 333.3 R30 10
Table 2 (unit: v)
E1 0.5 Ez1 0.75 E6 5
E2 0.5 Ez2 0.14 E7 5
E3 0.5 Ez3 -1.65
E4 -0.5 E5 1
Table 3 (unit: k Ω)
R 31 10 R 50 10 R 69 10 R 88 2.7
R 32 10 R 51 10 R 70 10 R 89 1
R 33 10 R 52 10 R 71 10 R 90 10
R 34 10 R 53 10 R 72 5 R 91 10
R 35 10 R 54 10 R 73 10 R 92 10
R 36 1 R 55 10 R 74 5 R 93 5
R 37 1 R 56 10 R 75 10 R 94 10
R 38 1 R 57 10 R 76 2.7 R 95 10
R 39 1 R 58 10 R 77 2.7 R 96 10
R 40 1 R 59 10 R 78 1 R 97 5
R 41 1 R 60 10 R 79 1 R 98 10
R 42 1 R 61 10 R 80 10 R 99 2.7
R 43 1 R 62 10 R 81 10 R 100 1
R 44 1 R 63 10 R 82 10 R 101 10
R 45 10 R 64 10 R 83 10 R 102 10
R 46 10 R 65 10 R 84 10 R 103 10
R 47 10 R 66 5 R 85 10 R 104 10
R 48 10 R 67 10 R 86 5
R 49 5 R 68 10 R 87 10

Claims (5)

1. a composite chaotic signal generator is characterized in that comprising that the basic chaotic signal of being made up of operational amplifier and multiplier produces circuit N1, is used to produce the switching controls function S 1(z) sequencer N2, be used to produce the switching controls function S 2(z) sequencer N3, be used to produce the switching controls function S 3(z) sequencer N4; The output that said basic chaotic signal produces circuit N1 is connected with the input of sequencer N2, sequencer N3, sequencer N4 respectively, and the output of sequencer N2, sequencer N3, sequencer N4 all is connected with the input that basic chaotic signal produces circuit N1.
2. according to the said composite chaotic signal generator of claim 1, it is characterized in that said basic chaotic signal produces circuit N1 and comprises 22 operational amplifiers and 15 multipliers; Said 22 operational amplifiers are respectively OP 1, OP 2, OP 3, OP 4, OP 5, OP 6, OP 7, OP 8, OP 9, OP 10, OP 11, OP 12, OP 13, OP 14, OP 15, OP 16, OP 17, OP 18, OP 19, OP 20, OP 21, OP 22, said 15 multipliers are respectively MUL 1, MUL 2, MUL 3, MUL 4, MUL 5, MUL 6, MUL 7, MUL 8, MUL 9, MUL 10, MUL 11, MUL 12, MUL 13, MUL 14, MUL 15
Said operational amplifier OP 1Output be connected with the input of sequencer N2, sequencer N3, sequencer N4 respectively; And respectively through resistance and OP 12, OP 17, OP 22Positive input terminal connect;
Said operational amplifier OP 3Output respectively through resistance and operational amplifier OP 8, OP 9, OP 14, OP 19Negative input end connect; And with multiplier MUL 11Input connect;
Said operational amplifier OP 5Output respectively through resistance and operational amplifier OP 7, OP 10, OP 13, OP 15, OP 18Negative input end connect; And with multiplier MUL 10, MUL 12, MUL 13, MUL 14, MUL 15Input connect; MUL 14Another input termination voltage E 5
Said multiplier MUL 1, MUL 4, MUL 7Output all through resistance and operational amplifier OP 6Negative input end, output connect; Operational amplifier OP 6Output through resistance and operational amplifier OP 5Negative input end connect;
Said multiplier MUL 2, MUL 5, MUL 8Output all through resistance and operational amplifier OP 4Negative input end, output connect; Operational amplifier OP 4Output through resistance and operational amplifier OP 3Negative input end connect;
Said multiplier MUL 3, MUL 6, MUL 9Output all through resistance and operational amplifier OP 2Negative input end, output connect; Operational amplifier OP 2Output through resistance and operational amplifier OP 1Negative input end connect;
Said operational amplifier OP 8Output and operational amplifier OP 7Negative input end connect operational amplifier OP 7Output and multiplier MUL 1Input connect; Said operational amplifier OP 10Output through resistance and operational amplifier OP 9Negative input end connect operational amplifier OP 9Output and multiplier MUL 2Input connect; Operational amplifier OP 10Output and multiplier MUL 11Another input connect; Multiplier MUL 11Output through resistance and operational amplifier OP 11Negative input end connect operational amplifier OP 11Output and multiplier MUL 3Input connect; Operational amplifier OP 12Output and multiplier MUL 10Another input connect multiplier MUL 10Output through resistance and operational amplifier OP 9Negative input end connect; Operational amplifier OP 12Output is through resistance and operational amplifier OP 11Negative input end connects;
Operational amplifier OP 14Output is through resistance and operational amplifier OP 13Negative input end connects; Operational amplifier OP 13Output and multiplier MUL 4Input connect operational amplifier OP 14Output is also through resistance and operational amplifier OP 15Negative input end connects; Operational amplifier OP 15Output and multiplier MUL 5Input connect operational amplifier OP 14Output and multiplier MUL 13Another input connect; Multiplier MUL 13Output through resistance and operational amplifier OP 16Negative input end connect operational amplifier OP 16Output and multiplier MUL 6Input connect; Operational amplifier OP 17Output and multiplier MUL 12Another input connect multiplier MUL 12Output through resistance and operational amplifier OP 15Negative input end connect;
Operational amplifier OP 19Output is through resistance and operational amplifier OP 18Negative input end connects; Operational amplifier OP 18Output and multiplier MUL 7Input connect operational amplifier OP 19Output is also through resistance and operational amplifier OP 20Negative input end connects; Operational amplifier OP 20Output and multiplier MUL 8Input connect operational amplifier OP 19Output and multiplier MUL 15Another input connect; Multiplier MUL 15Output through resistance and operational amplifier OP 21Negative input end connect operational amplifier OP 21Output and multiplier MUL 9Input connect; Multiplier MUL 14Output through resistance and operational amplifier OP 20Negative input end connect;
The output of said sequencer N2 respectively with multiplier MUL 1, MUL 2, MUL 3Another input connect; The output of said sequencer N3 respectively with multiplier MUL 4, MUL 5, MUL 6Another input connect; The output of said sequencer N4 respectively with multiplier MUL 7, MUL 8, MUL 9Another input connect;
Said operational amplifier OP 1, OP 2, OP 3, OP 4, OP 5, OP 6, OP 7, OP 8, OP 9, OP 10, OP 11, OP 13, OP 14, OP 15, OP 16, OP 18, OP 19, OP 20, OP 21Positive input terminal ground connection;
Said operational amplifier OP 12Positive-negative input end passes through grounding through resistance, operational amplifier OP respectively 12Positive input terminal meet vectorial translational movement E through resistance Z1, OP 22Positive-negative input end respectively through grounding through resistance, operational amplifier OP 22Positive input terminal meet vectorial translational movement E through resistance Z2Said operational amplifier OP 17Negative input end through grounding through resistance, positive input terminal meets vectorial translational movement E through resistance Z3
3. according to the said composite chaotic signal generator of claim 1, it is characterized in that said sequencer N2 comprises operational amplifier OP 23, OP 24, OP 25, OP 26, OP 27, OP 36, OP 37Said basic chaotic signal produces the operational amplifier OP among the circuit N1 1Output through resistance respectively with operational amplifier OP 23, OP 26Positive input terminal connect operational amplifier OP 23Positive input terminal also through resistance respectively ground connection and voltage E 1, operational amplifier OP 23Negative input end through grounding through resistance, and through resistance and operational amplifier OP 23Output connect operational amplifier OP 23Output and operational amplifier OP 36Negative input end connect operational amplifier OP 36Output through resistance and operational amplifier OP 24Negative input end connect operational amplifier OP 36Positive input terminal ground connection, operational amplifier OP 24Negative input end through resistance and operational amplifier OP 24Output connect operational amplifier OP 24Positive input terminal ground connection, operational amplifier OP 24Output through resistance and operational amplifier OP 25Positive input terminal connect operational amplifier OP 25Positive input terminal through grounding through resistance, operational amplifier OP 25Negative input end through resistance and operational amplifier OP 25Output connect;
Operational amplifier OP 26Positive input terminal also through grounding through resistance, operational amplifier OP 26Negative input end meet voltage E through resistance 2, and through resistance and operational amplifier OP 26Output connect operational amplifier OP 26Output and operational amplifier OP 37Negative input end connect operational amplifier OP 37Output through resistance and operational amplifier OP 27Negative input end connect operational amplifier OP 37Positive input terminal ground connection, operational amplifier OP 27Negative input end through resistance and operational amplifier OP 27Output connect operational amplifier OP 27Positive input terminal ground connection; Operational amplifier OP 27Output through resistance and operational amplifier OP 25Negative input end connect operational amplifier OP 25Output produce multiplier MUL among the circuit N1 with basic chaotic signal respectively 1, MUL 2, MUL 3Input connect.
4. according to the said composite chaotic signal generator of claim 1, it is characterized in that said sequencer N3 comprises operational amplifier OP 28, OP 29, OP 30, OP 31Said basic chaotic signal produces operational amplifier OP among the circuit N1 1Output through resistance and operational amplifier OP 28Positive input terminal connect operational amplifier OP 28Positive input terminal pass through grounding through resistance; Operational amplifier OP 28Negative input end meet voltage E through resistance 3, operational amplifier OP 28Negative input end through resistance and operational amplifier OP 28Output connect operational amplifier OP 28Output and operational amplifier OP 29Negative input end connect operational amplifier OP 29Positive input terminal ground connection, operational amplifier OP 29Output through resistance and operational amplifier OP 30Negative input end connect operational amplifier OP 30Negative input end through resistance and operational amplifier OP 30Output connect operational amplifier OP 30Positive input terminal ground connection; Operational amplifier OP 30Output through resistance and operational amplifier OP 31Positive input terminal connect operational amplifier OP 31Positive input terminal through resistance respectively ground connection, voltage; Operational amplifier OP 31Negative input end through grounding through resistance, and through resistance and operational amplifier OP 31Output connect operational amplifier OP 31Output produce multiplier MUL among the circuit N1 with basic chaotic signal respectively 4, MUL 5, MUL 6Input connect.
5. according to the said composite chaotic signal generator of claim 1, it is characterized in that said sequencer N4 comprises operational amplifier OP 32, OP 33, OP 34, OP 35Said basic chaotic signal produces operational amplifier OP among the circuit N1 1Output through resistance and operational amplifier OP 32Positive input terminal connect operational amplifier OP 32Positive input terminal through grounding through resistance, operational amplifier OP 32Negative input end meet voltage E through resistance 4, and through resistance and operational amplifier OP 32Output connect operational amplifier OP 32Output through operational amplifier OP 33And resistance and operational amplifier OP 34Negative input end connect operational amplifier OP 34Negative input end through resistance and operational amplifier OP 34Output connect operational amplifier OP 34Output through resistance and operational amplifier OP 35Negative input end connect operational amplifier OP 35Negative input end through resistance and operational amplifier OP 35Output connect operational amplifier OP 35Positive input terminal through resistance respectively ground connection, voltage; Operational amplifier OP 35Output produce multiplier MUL among the circuit N1 with basic chaotic signal respectively 7, MUL 8, MUL 9Input connect.
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Cited By (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102904709A (en) * 2012-09-27 2013-01-30 滨州学院 Method for automatically switching four Chen type system based fractional order chaotic systems and analog circuit
CN102916802A (en) * 2012-09-27 2013-02-06 滨州学院 Fractional-order automatic switching chaotic system method for four Lorenz type systems and analog circuit
CN103647635A (en) * 2013-12-23 2014-03-19 电子科技大学 Step wave based multiple scroll wave circuit
CN103684264A (en) * 2013-11-14 2014-03-26 常州大学 Switchable chaotic signal source by memristor circuit and nonlinear circuit
CN104393983A (en) * 2014-11-11 2015-03-04 胡春华 0.2 order and x2 Chen chaotic system circuit based on a hybrid fractional order integral circuit module
WO2015123794A1 (en) * 2014-02-22 2015-08-27 梅增霞 Liu CHAOTIC SYSTEM SWITCHING METHOD AND CIRCUIT CONTAINING xy WITH DIFFERENTFRACTIONAL ORDERS
CN105790921A (en) * 2016-01-27 2016-07-20 广东第二师范学院 Multi-wing chaotic signal generator based on step wave switching control
CN107294699A (en) * 2017-08-08 2017-10-24 佛山科学技术学院 A kind of three-dimensional multi-scroll chaotic signals generator
CN108599921A (en) * 2018-06-27 2018-09-28 佛山科学技术学院 A kind of grid multi-scroll chaotic signals generator
CN108683490A (en) * 2018-07-11 2018-10-19 佛山科学技术学院 A kind of multiscroll chaotic circuit

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1645781A (en) * 2004-01-19 2005-07-27 广东工业大学 Multi-path information encrpted chaotic communicating system
CN1747377A (en) * 2005-10-13 2006-03-15 中国科学院数学与系统科学研究院 A kind of vortex chaos signal generator and using method thereof
CN102361471A (en) * 2011-05-26 2012-02-22 李锐 Signal generation apparatus and method thereof for controlling output frequency and output characteristic of chaotic signal

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1645781A (en) * 2004-01-19 2005-07-27 广东工业大学 Multi-path information encrpted chaotic communicating system
CN1747377A (en) * 2005-10-13 2006-03-15 中国科学院数学与系统科学研究院 A kind of vortex chaos signal generator and using method thereof
CN102361471A (en) * 2011-05-26 2012-02-22 李锐 Signal generation apparatus and method thereof for controlling output frequency and output characteristic of chaotic signal

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
禹思敏等: "高阶蔡氏电路及其FPGA实现", 《第二十六届中国控制会议(PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE)论文集》 *

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* Cited by examiner, † Cited by third party
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CN104393983B (en) * 2014-11-11 2016-01-20 国网山东省电力公司泰安供电公司 A kind of 0.2 rank mixed type fractional order integration circuit arrangement
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