CN102694643B - Composite chaotic signal generator - Google Patents
Composite chaotic signal generator Download PDFInfo
- Publication number
- CN102694643B CN102694643B CN201210129556.1A CN201210129556A CN102694643B CN 102694643 B CN102694643 B CN 102694643B CN 201210129556 A CN201210129556 A CN 201210129556A CN 102694643 B CN102694643 B CN 102694643B
- Authority
- CN
- China
- Prior art keywords
- operational amplifier
- output
- resistance
- mul
- connect
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Fee Related
Links
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
Technical field
The present invention relates to chaos circuit required in chaotic secret communication, be specifically related to a kind of compound Lorenz-Chen-L ü chaos signal generator based on switching control function.
Background technology
How producing for various chaos circuits required in chaotic secret communication is frontiers of nonlinear circuit and system disciplinary study in recent years, achieve the achievement in research that some are relevant at present, a kind of deformed cai's circuit is patent document discloses as Chinese patent Authorization Notice No. CN1199968A, but do not relate to the compound of multiple dipteron wing chaos attractor in general Lucas number, therefore, also there is limitation for chaotic secure communication.
Summary of the invention
In order to overcome the deficiencies in the prior art, the object of this invention is to provide a kind of composite chaotic signal generator, chaos signal generator hardware is more easily realized, and encryption is stronger.
To achieve these goals, the present invention takes following scheme:
A kind of composite chaotic signal generator, comprise be made up of operational amplifier and multiplier basic Generation of Chaotic Signals N1, for generation of switching control function S
1the sequencer N2 of (z), for generation of switching control function S
2the sequencer N3 of (z), for generation of switching control function S
3the sequencer N4 of (z); The output of described basic Generation of Chaotic Signals N1 is connected with the input of sequencer N2, sequencer N3, sequencer N4 respectively, and the output of sequencer N2, sequencer N3, sequencer N4 is all connected with the input of basic Generation of Chaotic Signals N1.
Described basic Generation of Chaotic Signals N1 comprises 22 operational amplifiers and 15 multipliers; Described 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, described 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;
Described operational amplifier OP
1output be connected with the input of sequencer N2, sequencer N3, sequencer N4 respectively; And respectively by resistance and OP
12, OP
17, OP
22positive input terminal connect;
Described operational amplifier OP
3output respectively by resistance and operational amplifier OP
8, OP
9, OP
14, OP
19negative input end connect; And with multiplier MUL
11input connect;
Described operational amplifier OP
5output respectively by 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;
Described multiplier MUL
1, MUL
4, MUL
7output all by resistance and operational amplifier OP
6negative input end, output connect; Operational amplifier OP
6output by resistance and operational amplifier OP
5negative input end connect;
Described multiplier MUL
2, MUL
5, MUL
8output all by resistance and operational amplifier OP
4negative input end, output connect; Operational amplifier OP
4output by resistance and operational amplifier OP
3negative input end connect;
Described multiplier MUL
3, MUL
6, MUL
9output all by resistance and operational amplifier OP
2negative input end, output connect; Operational amplifier OP
2output by resistance and operational amplifier OP
1negative input end connect;
Described operational amplifier OP
8output and operational amplifier OP
7negative input end connect, operational amplifier OP
7output and multiplier MUL
1input connect; Described operational amplifier OP
10output by 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 by 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 by resistance and operational amplifier OP
9negative input end connect; Operational amplifier OP
12output is by resistance and operational amplifier OP
11negative input end connects;
Operational amplifier OP
14output is by resistance and operational amplifier OP
13negative input end connects; Operational amplifier OP
13output and multiplier MUL
4input connect, operational amplifier OP
14output is also by 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 by 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 by resistance and operational amplifier OP
15negative input end connect;
Operational amplifier OP
19output is by resistance and operational amplifier OP
18negative input end connects; Operational amplifier OP
18output and multiplier MUL
7input connect, operational amplifier OP
19output is also by 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 by resistance and operational amplifier OP
21negative input end connect, operational amplifier OP
21output and multiplier MUL
9input connect; Multiplier MUL
14output by resistance and operational amplifier OP
20negative input end connect;
The output of described sequencer N2 respectively with multiplier MUL
1, MUL
2, MUL
3another input connect; The output of described sequencer N3 respectively with multiplier MUL
4, MUL
5, MUL
6another input connect; The output of described sequencer N4 respectively with multiplier MUL
7, MUL
8, MUL
9another input connect;
Described 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;
Described operational amplifier OP
12positive-negative input end respectively by grounding through resistance, operational amplifier OP
12positive input terminal meet vectorial translational movement E by resistance
z1, OP
22positive-negative input end respectively by grounding through resistance, operational amplifier OP
22positive input terminal meet vectorial translational movement E by resistance
z2; Described operational amplifier OP
17negative input end by grounding through resistance, positive input terminal meets vectorial translational movement E by resistance
z3.
Described sequencer N2 comprises operational amplifier OP
23, OP
24, OP
25, OP
26, OP
27, OP
36, OP
37; First operational amplifier OP in described basic Generation of Chaotic Signals N1
1output by resistance respectively with operational amplifier OP
23, OP
26positive input terminal connect, operational amplifier OP
23positive input terminal also by resistance respectively ground connection and voltage E
1, operational amplifier OP
23negative input end by grounding through resistance, and by resistance and operational amplifier OP
23output connect, operational amplifier OP
23output and operational amplifier OP
36negative input end connect, operational amplifier OP
36output by resistance and operational amplifier OP
24negative input end connect, operational amplifier OP
36positive input terminal ground connection, operational amplifier OP
24negative input end by resistance and operational amplifier OP
24output connect, operational amplifier OP
24positive input terminal ground connection, operational amplifier OP
24output by resistance and operational amplifier OP
25positive input terminal connect, operational amplifier OP
25positive input terminal by grounding through resistance, operational amplifier OP
25negative input end by resistance and operational amplifier OP
25output connect.
Operational amplifier OP
26positive input terminal also by grounding through resistance, operational amplifier OP
26negative input end meet voltage E by resistance
2, and by resistance and operational amplifier OP
26output connect, operational amplifier OP
26output and operational amplifier OP
37negative input end connect, operational amplifier OP
37output by resistance and operational amplifier OP
27negative input end connect, operational amplifier OP
37positive input terminal ground connection, operational amplifier OP
27negative input end by resistance and operational amplifier OP
27output connect, operational amplifier OP
27positive input terminal ground connection; Operational amplifier OP
27output by resistance and operational amplifier OP
25negative input end connect, operational amplifier OP
25output respectively with the first multiplier MUL in basic Generation of Chaotic Signals N1
1, the second multiplier MUL
2, the 3rd multiplier MUL
3input connect.
Described sequencer N3 comprises operational amplifier OP
28, OP
29, OP
30, OP
31; First operational amplifier OP in described basic Generation of Chaotic Signals N1
1output by 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 by resistance
3, operational amplifier OP
28negative input end by 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 by resistance and operational amplifier OP
30negative input end connect, operational amplifier OP
30negative input end by resistance and operational amplifier OP
30output connect, operational amplifier OP
30positive input terminal ground connection; Operational amplifier OP
30output by resistance and operational amplifier OP
31positive input terminal connect, operational amplifier OP
31positive input terminal by resistance respectively ground connection, voltage; Operational amplifier OP
31negative input end by grounding through resistance, and by resistance and operational amplifier OP
31output connect, operational amplifier OP
31output respectively with the 4th multiplier MUL in basic Generation of Chaotic Signals N1
4, the 5th multiplier MUL
5, the 6th multiplier MUL
6input connect.
Described sequencer N4 comprises operational amplifier OP
32, OP
33, OP
34, OP
35; First operational amplifier OP in described basic Generation of Chaotic Signals N1
1output by resistance and operational amplifier OP
32positive input terminal connect, operational amplifier OP
32positive input terminal by grounding through resistance, operational amplifier OP
32a negative input meet voltage E by resistance
4, and by resistance and operational amplifier OP
32output connect, operational amplifier OP
32output by operational amplifier OP
33and resistance and operational amplifier OP
34negative input end connect, operational amplifier OP
34negative input end by resistance and operational amplifier OP
34output connect, operational amplifier OP
34output by resistance and operational amplifier OP
35negative input end connect, operational amplifier OP
35negative input end by resistance and operational amplifier OP
35output connect, operational amplifier OP
35positive input terminal by resistance respectively ground connection, voltage; Operational amplifier OP
35output respectively with the 7th multiplier MUL in basic Generation of Chaotic Signals N1
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 easily realizes.
The present invention's beneficial effect is compared with the prior art: 1) owing to producing compound Lorenz-Chen-L ü chaotic signal by 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, for the encryption in communication, its performance is better.
Accompanying drawing explanation
Fig. 1 is general structure schematic diagram of the present invention;
Fig. 2 is for producing switching control function S
1the circuit diagram of (z) sequencer N2;
Fig. 3 is for producing switching control function S
2the circuit diagram of (z) sequencer N3;
Fig. 4 is for producing switching control function S
3the circuit diagram of (z) sequencer N4.
Embodiment
Each device in figure:
OP
1~ OP
22: the operational amplifier of basic Generation of Chaotic Signals N1;
MUL
1~ MUL
15: the multiplier of basic Generation of Chaotic Signals N1;
OP
23~ OP
27, OP
36, OP
37: produce switching control function S
1the operational amplifier of (z) sequencer N2;
OP
28~ OP
31: produce switching control function S
2the operational amplifier of (z) sequencer N3;
OP
32~ OP
35: produce switching control function S
3the operational amplifier of (z) sequencer N4;
E
1, E
2: produce switching control function S
1the time delay voltage of (z) sequencer N2;
E
3: produce switching control function S
2the time delay voltage of (z) sequencer N3;
E
4: produce switching control function S
3the time delay voltage of (z) sequencer N4;
E
z1: Lorenz system translational movement in the Z-axis direction;
E
z2: Chen system translational movement in the Z-axis direction;
E
z3: L ü system translational movement in the Z-axis direction.
Below implement for illustration of the present invention, but be not used for limiting the scope of the invention.
As shown in Figure 1, a kind of compound Lorenz-Chen-L ü chaos signal generator of the present invention, comprises basic Generation of Chaotic Signals N1, for generation of switching control function S
1the sequencer N2 of (z), for generation of switching control function S
2the sequencer N3 of (z), for generation of switching control function S
3the sequencer N4 of (z).First operational amplifier OP in basic Generation of Chaotic Signals N1
1output is connected with the input of sequencer N2, sequencer N3, sequencer N4 respectively, the output of sequencer N2 respectively with the first multiplier MUL in basic Generation of Chaotic Signals N1
1, the second multiplier MUL
2, the 3rd multiplier MUL
3input connect; The output of sequencer N3 respectively with the 4th multiplier MUL in basic Generation of Chaotic Signals N1
4, the 5th multiplier MUL
5, the 6th multiplier MUL
6input connect; The output of sequencer N4 respectively with the 7th multiplier MUL in basic Generation of Chaotic Signals N1
7, the 8th multiplier MUL
8, the 9th multiplier MUL
9input connect.The Inner Constitution of circuit various piece and annexation are each other:
Basic chaos produces circuit N1 and is made up of 22 operational amplifiers and 15 multipliers, its concrete annexation as shown in Figure 1, wherein OP
2, OP
4, OP
6, OP
8, OP
10, OP
14, OP
19for inverter, OP
1, OP
3, OP
5for, OP
12, OP
17, OP
22for plus and minus calculation device, OP
7, OP
9, OP
11, OP
13, OP
15, OP
16, OP
18, OP
20, OP
21for anti-phase summation operation device, MUL
1~ MUL
15for multiplier.
Produce switching control function S
1(z) sequencer N2, integrator OP in its signal input part and basic Generation of Chaotic Signals N1
1output be connected, its signal output part respectively with the first multiplier MUL in basic Generation of Chaotic Signals N1
1, the second multiplier MUL
2, the 3rd multiplier MUL
3one of them input be connected.
As shown in Figure 2, sequencer N2 is by operational amplifier OP
23, OP
24, OP
25, OP
26, OP
27, OP
36, OP
37; Described operational amplifier OP
1output by resistance respectively with operational amplifier OP
23, OP
26positive input terminal connect, operational amplifier OP
23positive input terminal also by resistance respectively ground connection and voltage E
1, operational amplifier OP
23negative input end by grounding through resistance, and by resistance and operational amplifier OP
23output connect, operational amplifier OP
23output and operational amplifier OP
36negative input end connect, operational amplifier OP
36output by resistance and operational amplifier OP
24negative input end connect, operational amplifier OP
36positive input terminal ground connection, operational amplifier OP
24negative input end by resistance and operational amplifier OP
24output connect, operational amplifier OP
24positive input terminal ground connection, operational amplifier OP
24output by resistance and operational amplifier OP
25positive input terminal connect, operational amplifier OP
25positive input terminal by grounding through resistance, operational amplifier OP
25negative input end by resistance and operational amplifier OP
25output connect.
Operational amplifier OP
26positive input terminal also by grounding through resistance, operational amplifier OP
26negative input end meet voltage E by resistance
2, and by resistance and operational amplifier OP
26output connect, operational amplifier OP
26output and operational amplifier OP
37negative input end connect, operational amplifier OP
37output by resistance and operational amplifier OP
27negative input end connect, operational amplifier OP
37positive input terminal ground connection, operational amplifier OP
27negative input end by resistance and operational amplifier OP
27output connect, operational amplifier OP
27positive input terminal ground connection; Operational amplifier OP
27output by resistance and operational amplifier OP
25negative input end connect, operational amplifier OP
25output respectively with the first multiplier MUL in basic Generation of Chaotic Signals N1
1, the second multiplier MUL
2, the 3rd multiplier MUL
3input connect.
Produce switching control function S
2(z) sequencer N3, the signal input part of this generator is connected with the output of integrator OP1 in basic Generation of Chaotic Signals N1, its signal output part respectively with the 4th multiplier MUL in basic Generation of Chaotic Signals N1
4, the 5th multiplier MUL
5, the 6th multiplier MUL
6one of them input be connected.
As shown in Figure 3, sequencer N3 is by operational amplifier OP
28, OP
29, OP
30, OP
31; Described operational amplifier OP
1output by 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 by resistance
3, operational amplifier OP
28negative input end by 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 by resistance and operational amplifier OP
30negative input end connect, operational amplifier OP
30negative input end by resistance and operational amplifier OP
30output connect, operational amplifier OP
30positive input terminal ground connection; Operational amplifier OP
30output by resistance and operational amplifier OP
31positive input terminal connect, operational amplifier OP
31positive input terminal by resistance respectively ground connection, voltage; Operational amplifier OP
31negative input end by grounding through resistance, and by resistance and operational amplifier OP
31output connect, operational amplifier OP
31output respectively with the 4th multiplier MUL in basic Generation of Chaotic Signals N1
4, the 5th multiplier MUL
5, the 6th multiplier MUL
6input connect.
Produce switching control function S
1(z) sequencer N4, OP in the signal input part of this generator and basic Generation of Chaotic Signals N1
1output be connected, its signal output part respectively with the 7th multiplier MUL in basic Generation of Chaotic Signals N1
7, the 8th multiplier MUL
8, the 9th multiplier MUL
9one of them input be connected.
As shown in Figure 4, sequencer N4 is by operational amplifier OP
32, OP
33, OP
34, OP
35; Described operational amplifier OP
1output by resistance and operational amplifier OP
32positive input terminal connect, operational amplifier OP
32positive input terminal by grounding through resistance, operational amplifier OP
32a negative input meet voltage E by resistance
4, and by resistance and operational amplifier OP
32output connect, operational amplifier OP
32output by operational amplifier OP
33and resistance and operational amplifier OP
34negative input end connect, operational amplifier OP
34negative input end by resistance and operational amplifier OP
34output connect, operational amplifier OP
34output by resistance and operational amplifier OP
35negative input end connect, operational amplifier OP
35negative input end by resistance and operational amplifier OP
35output connect, operational amplifier OP
35positive input terminal by resistance respectively ground connection, voltage; Operational amplifier OP
35output respectively with the 7th multiplier MUL in basic Generation of Chaotic Signals N1
7, the 8th multiplier MUL
8, the 9th multiplier MUL
9input connect.
According to Fig. 1-Fig. 4 connecting circuit, according to the data that table 1, table 2 provide, the parameter of each components and parts in each figure can be determined.Circuit produces compound Lorenz-Chen-L ü chaotic signal.
According to Fig. 2, obtain the switching control function S of sequencer N2
1z the mathematic(al) representation of () is
S
1(z)=0.5(sgn(z+0.5)-sgn(z-0.5)) (1)
According to Fig. 3, obtain the switching control function S of sequencer N3
2z the mathematic(al) representation of () is
S
2(z)=0.5(1+sgn(z-0.5)) (2)
According to Fig. 4, obtain the switching control function S of sequencer N4
3z the mathematic(al) representation of () is
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 following formula:
A in above 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: operational amplifiers all in Fig. 1 ~ Fig. 4, model is TL082, and supply voltage is ± E=± 15V, and the saturation value that experiment records now each op-amp output voltage is V
sat=± 13.5V.Multipliers all in Fig. 1 ~ Fig. 4, model is AD633, and supply voltage is ± E=± 15V.For the ease of Experiment of Electrical Circuits, in order to ensure the accuracy of resistance value, in Fig. 1 ~ Fig. 4, all resistance all adopts accurate adjustable resistance or accurate adjustable potentiometer.
Component parameter table of the present invention is as follows:
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 (4)
1. a composite chaotic signal generator, it is characterized in that comprising be made up of operational amplifier and multiplier basic Generation of Chaotic Signals N1, for generation of switching control function S
1the sequencer N2 of (z), for generation of switching control function S
2the sequencer N3 of (z), for generation of switching control function S
3the sequencer N4 of (z); The output of described basic Generation of Chaotic Signals N1 is connected with the input of sequencer N2, sequencer N3, sequencer N4 respectively, and the output of sequencer N2, sequencer N3, sequencer N4 is all connected with the input of basic Generation of Chaotic Signals N1;
Described basic Generation of Chaotic Signals N1 comprises 22 operational amplifiers and 15 multipliers; Described 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, described 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;
Described operational amplifier OP
1output be connected with the input of sequencer N2, sequencer N3, sequencer N4 respectively; And respectively by resistance and OP
12, OP
17, OP
22positive input terminal connect;
Described operational amplifier OP
3output respectively by resistance and operational amplifier OP
8, OP
9, OP
14, OP
19negative input end connect; And with multiplier MUL
11input connect;
Described operational amplifier OP
5output respectively by 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;
Described multiplier MUL
1, MUL
4, MUL
7output all by resistance and operational amplifier OP
6negative input end, output connect; Operational amplifier OP
6output by resistance and operational amplifier OP
5negative input end connect;
Described multiplier MUL
2, MUL
5, MUL
8output all by resistance and operational amplifier OP
4negative input end, output connect; Operational amplifier OP
4output by resistance and operational amplifier OP
3negative input end connect;
Described multiplier MUL
3, MUL
6, MUL
9output all by resistance and operational amplifier OP
2negative input end, output connect; Operational amplifier OP
2output by resistance and operational amplifier OP
1negative input end connect;
Described operational amplifier OP
8output and operational amplifier OP
7negative input end connect, operational amplifier OP
7output and multiplier MUL
1input connect; Described operational amplifier OP
10output by 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 by 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 by resistance and operational amplifier OP
9negative input end connect; Operational amplifier OP
12output is by resistance and operational amplifier OP
11negative input end connects;
Operational amplifier OP
14output is by resistance and operational amplifier OP
13negative input end connects; Operational amplifier OP
13output and multiplier MUL
4input connect, operational amplifier OP
14output is also by 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 by 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 by resistance and operational amplifier OP
15negative input end connect;
Operational amplifier OP
19output is by resistance and operational amplifier OP
18negative input end connects; Operational amplifier OP
18output and multiplier MUL
7input connect, operational amplifier OP
19output is also by 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 by resistance and operational amplifier OP
21negative input end connect, operational amplifier OP
21output and multiplier MUL
9input connect; Multiplier MUL
14output by resistance and operational amplifier OP
20negative input end connect;
The output of described sequencer N2 respectively with multiplier MUL
1, MUL
2, MUL
3another input connect; The output of described sequencer N3 respectively with multiplier MUL
4, MUL
5, MUL
6another input connect; The output of described sequencer N4 respectively with multiplier MUL
7, MUL
8, MUL
9another input connect;
Described 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;
Described operational amplifier OP
12positive-negative input end respectively by grounding through resistance, operational amplifier OP
12positive input terminal meet vectorial translational movement E by resistance
z1, OP
22positive-negative input end respectively by grounding through resistance, operational amplifier OP
22positive input terminal meet vectorial translational movement E by resistance
z2; Described operational amplifier OP
17negative input end by grounding through resistance, positive input terminal meets vectorial translational movement E by resistance
z3.
2. composite chaotic signal generator according to claim 1, is characterized in that described sequencer N2 comprises operational amplifier OP
23, OP
24, OP
25, OP
26, OP
27, OP
36, OP
37; Operational amplifier OP in described basic Generation of Chaotic Signals N1
1output by resistance respectively with operational amplifier OP
23, OP
26positive input terminal connect, operational amplifier OP
23positive input terminal also by resistance respectively ground connection and voltage E
1, operational amplifier OP
23negative input end by grounding through resistance, and by resistance and operational amplifier OP
23output connect, operational amplifier OP
23output and operational amplifier OP
36negative input end connect, operational amplifier OP
36output by resistance and operational amplifier OP
24negative input end connect, operational amplifier OP
36positive input terminal ground connection, operational amplifier OP
24negative input end by resistance and operational amplifier OP
24output connect, operational amplifier OP
24positive input terminal ground connection, operational amplifier OP
24output by resistance and operational amplifier OP
25positive input terminal connect, operational amplifier OP
25positive input terminal by grounding through resistance, operational amplifier OP
25negative input end by resistance and operational amplifier OP
25output connect;
Operational amplifier OP
26positive input terminal also by grounding through resistance, operational amplifier OP
26negative input end meet voltage E by resistance
2, and by resistance and operational amplifier OP
26output connect, operational amplifier OP
26output and operational amplifier OP
37negative input end connect, operational amplifier OP
37output by resistance and operational amplifier OP
27negative input end connect, operational amplifier OP
37positive input terminal ground connection, operational amplifier OP
27negative input end by resistance and operational amplifier OP
27output connect, operational amplifier OP
27positive input terminal ground connection; Operational amplifier OP
27output by resistance and operational amplifier OP
25negative input end connect, operational amplifier OP
25output respectively with multiplier MUL in basic Generation of Chaotic Signals N1
1, MUL
2, MUL
3input connect.
3. composite chaotic signal generator according to claim 1, is characterized in that described sequencer N3 comprises operational amplifier OP
28, OP
29, OP
30, OP
31; Operational amplifier OP in described basic Generation of Chaotic Signals N1
1output by 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 by resistance
3, operational amplifier OP
28negative input end by 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 by resistance and operational amplifier OP
30negative input end connect, operational amplifier OP
30negative input end by resistance and operational amplifier OP
30output connect, operational amplifier OP
30positive input terminal ground connection; Operational amplifier OP
30output by resistance and operational amplifier OP
31positive input terminal connect, operational amplifier OP
31positive input terminal by resistance respectively ground connection, voltage; Operational amplifier OP
31negative input end by grounding through resistance, and by resistance and operational amplifier OP
31output connect, operational amplifier OP
31output respectively with multiplier MUL in basic Generation of Chaotic Signals N1
4, MUL
5, MUL
6input connect.
4. composite chaotic signal generator according to claim 1, is characterized in that described sequencer N4 comprises operational amplifier OP
32, OP
33, OP
34, OP
35; Operational amplifier OP in described basic Generation of Chaotic Signals N1
1output by resistance and operational amplifier OP
32positive input terminal connect, operational amplifier OP
32positive input terminal by grounding through resistance, operational amplifier OP
32negative input end meet voltage E by resistance
4, and by resistance and operational amplifier OP
32output connect, operational amplifier OP
32output by operational amplifier OP
33and resistance and operational amplifier OP
34negative input end connect, operational amplifier OP
34negative input end by resistance and operational amplifier OP
34output connect, operational amplifier OP
34output by resistance and operational amplifier OP
35negative input end connect, operational amplifier OP
35negative input end by resistance and operational amplifier OP
35output connect, operational amplifier OP
35positive input terminal by resistance respectively ground connection, voltage; Operational amplifier OP
35output respectively with multiplier MUL in basic Generation of Chaotic Signals N1
7, MUL
8, MUL
9input connect.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201210129556.1A CN102694643B (en) | 2012-04-27 | 2012-04-27 | Composite chaotic signal generator |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201210129556.1A CN102694643B (en) | 2012-04-27 | 2012-04-27 | Composite chaotic signal generator |
Publications (2)
Publication Number | Publication Date |
---|---|
CN102694643A CN102694643A (en) | 2012-09-26 |
CN102694643B true CN102694643B (en) | 2015-03-18 |
Family
ID=46859936
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN201210129556.1A Expired - Fee Related CN102694643B (en) | 2012-04-27 | 2012-04-27 | Composite chaotic signal generator |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN102694643B (en) |
Families Citing this family (10)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN102904709B (en) * | 2012-09-27 | 2014-12-24 | 国家电网公司 | Method for automatically switching four Chen type system based fractional order chaotic systems and analog circuit |
CN102916802B (en) * | 2012-09-27 | 2014-12-17 | 滨州学院 | Fractional-order automatic switching chaotic system method for four Lorenz type systems and analog circuit |
CN103684264B (en) * | 2013-11-14 | 2016-08-17 | 常州大学 | A kind of memristor circuit and the switchable chaos signal source of nonlinear circuit |
CN103647635B (en) * | 2013-12-23 | 2017-01-18 | 电子科技大学 | Step wave based multiple scroll wave circuit |
CN103812640A (en) * | 2014-02-22 | 2014-05-21 | 滨州学院 | Method and circuit for switching Liu (line interface unit) chaos system with different fraction orders and xy |
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 |
CN105790921B (en) * | 2016-01-27 | 2018-09-28 | 佛山科学技术学院 | A kind of more wing chaos signal generators based on staircase waveform switching control |
CN107294699B (en) * | 2017-08-08 | 2023-03-31 | 佛山科学技术学院 | Three-dimensional multi-scroll chaotic signal generator |
CN108599921B (en) * | 2018-06-27 | 2023-11-03 | 佛山科学技术学院 | Grid multi-scroll chaotic signal generator |
CN108683490B (en) * | 2018-07-11 | 2023-10-31 | 佛山科学技术学院 | Multi-scroll chaotic circuit |
Citations (3)
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 |
-
2012
- 2012-04-27 CN CN201210129556.1A patent/CN102694643B/en not_active Expired - Fee Related
Patent Citations (3)
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)
Title |
---|
高阶蔡氏电路及其FPGA实现;禹思敏等;《第二十六届中国控制会议(Proceedings of the 26th Chinese Control Conference)论文集》;20070731;全文 * |
Also Published As
Publication number | Publication date |
---|---|
CN102694643A (en) | 2012-09-26 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN102694643B (en) | Composite chaotic signal generator | |
CN103684264B (en) | A kind of memristor circuit and the switchable chaos signal source of nonlinear circuit | |
CN106130713A (en) | A kind of the simplest four-dimensional self-governing chaos system with double memristor and realize circuit | |
CN102752099B (en) | Lorenz chaotic signal generator | |
CN103634099A (en) | Five-dimensional chaotic system and chaotic signal generator based on five-dimensional chaotic system | |
CN104821797A (en) | Simple Chua's chaotic circuit realized by bridge diode pair | |
CN106357381A (en) | Three-order memory resistor chaotic signal generator realized based on two-order active band-pass filter | |
CN206524843U (en) | One kind deformation Rikitake chaos system analog circuits | |
CN105207771A (en) | Double-scroll hidden Chua chaos attractor generation circuit based on single-piece current feedback operational amplifier | |
CN103729518A (en) | Simple memristor emulator | |
CN107135063B (en) | Chaotic circuit for generating grid multi-wing hyperchaotic hidden attractor and implementation method | |
CN105790921A (en) | Multi-wing chaotic signal generator based on step wave switching control | |
CN109462467B (en) | Four-dimensional chaotic system containing hidden attractor and implementation circuit thereof | |
CN206042011U (en) | Super chaotic signal generator of many wings of no equilibrium point | |
CN109361503A (en) | A kind of multiple scrolls circuit based on sawtooth wave Anti-control for chaos | |
Khan et al. | A novel impedance multiplier using low voltage digitally controlled CCII | |
CN206042010U (en) | Chaos circuit of net multiple wing | |
CN105846990A (en) | Improved normative Chua's chaotic circuit | |
CN208890813U (en) | A kind of third-order self-governing chaos circuit of cluster hair oscillation | |
CN107453358A (en) | A kind of electric network natural resonance structure analysis method based on complex frequency domain lower node admittance matrix | |
CN205407839U (en) | Super chaotic signal generator of many wings of net | |
CN102739392B (en) | Chen chaotic signal generator | |
CN110224809A (en) | A kind of three rank Non-Self-Governing chaos signal generators based on PI type memristor | |
CN103647435A (en) | A fractional order chaotic circuit applicable to a PWM generator | |
CN207753729U (en) | The voltage-controlled memristor Cai Shi chaos signal generators of five ranks |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
C06 | Publication | ||
PB01 | Publication | ||
C10 | Entry into substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
C14 | Grant of patent or utility model | ||
GR01 | Patent grant | ||
CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20150318 Termination date: 20190427 |
|
CF01 | Termination of patent right due to non-payment of annual fee |