CN105553643B - A kind of 0.2 rank T-type fractional order integration circuit module - Google Patents

A kind of 0.2 rank T-type fractional order integration circuit module Download PDF

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CN105553643B
CN105553643B CN201610118764.XA CN201610118764A CN105553643B CN 105553643 B CN105553643 B CN 105553643B CN 201610118764 A CN201610118764 A CN 201610118764A CN 105553643 B CN105553643 B CN 105553643B
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CN105553643A (en
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王树斌
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Ningbo Xucheng Electronic Technology Co., Ltd.
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Zhejiang Xuchang Electronics Technology Co Ltd
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/001Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using chaotic signals

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Abstract

The present invention provides a kind of 0.2 rank Lorenz type chaos system circuit based on T-type general score rank integrating circuit module, T-type fractional order integration circuit module is made of six parts, after first part is by four resistance and a potentiometer series connection, it is composed in parallel with four capacitors, after five part next is by four resistance and the series connection of potentiometer, it is connected in series composition with four capacitor parallel connection parts.The present invention uses T-type structure, has designed and produced PCB circuit, and 0.2 rank fractional order integration circuit is made of preceding four part, and rear two parts do not have to, and vacantly, 0.2 rank fractional order chaotic system circuit of realization in this way, high reliablity is not easy to make mistakes.

Description

A kind of 0.2 rank T-type fractional order integration circuit module
Technical field
The present invention relates to a kind of general score rank integrating circuit modules and its 0.2 rank chaos system circuit to realize, especially relates to And a kind of 0.2 rank T-type fractional order integration circuit module.
Background technique
Because realizing the resistance of the circuit of chaotic systems with fractional order and capacitor being all non-conventional resistive and capacitor, general use The method of resistance series connection and capacitor parallel connection is realized, currently, the main method realized is using existing resistance and capacitor in bread The method combined on plate, this method reliability and stability are relatively low, and exist and be easy error, not easy-to-search etc. after error Problem, the present invention are to overcome this problem, using T-type structure, have designed and produced PCB circuit, entire circuit is by six Part forms, and after first part is connected by four resistance and potentiometer, composes in parallel with four capacitors, behind five parts it is equal It after four resistance and the series connection of potentiometer, is connected in series composition with four capacitor parallel connection parts, 0.2 rank General integral of T-type is electric Preceding four parts composition is routed, aft section does not have to, vacantly, 0.2 rank fractional order chaotic system circuit of realization in this way, High reliablity, it is not easy to make mistakes.
Summary of the invention
The technical problem to be solved in the present invention is to provide a kind of 0.2 rank T-type fractional order integration circuit module, the present invention is used Following technological means realizes goal of the invention:
1, a kind of 0.2 rank T-type fractional order integration circuit module, it is characterized in that being:Resistance Rx is in parallel with capacitor Cx, is formed First part, resistance Ry connect with capacitor Cy, form second part, and resistance Rz connects with capacitor Cz, form Part III, resistance Rw connects with capacitor Cw, forms Part IV, and resistance Ru connects with capacitor Cu, forms Part V, and resistance Rv and capacitor Cv go here and there Connection, forms Part VI, and first part is to be connected in parallel with five parts below;The capacitor Cx by capacitor Cx1, Cx2, Cx3, Cx4 is composed in parallel;The resistance Ry is composed in series by potentiometer Ry1 and resistance Ry2, Ry3, Ry4, Ry5, and the capacitor Cy is by electricity Hold Cy1, Cy2, Cy3, Cy4 to compose in parallel;The resistance Rz is composed in series by potentiometer Rz1 and resistance Rz2, Rz3, Rz4, Rz5, The capacitor Cz is composed in parallel by capacitor Cz1, Cz2, Cz3, Cz4;The resistance Rw by potentiometer Rw1 and resistance Rw2, Rw3, Rw4, Rw5 are composed in series, and the capacitor Cw is composed in parallel by capacitor Cw1, Cw2, Cw3, Cw4;The resistance Ru is by potentiometer Ru1 It is composed in series with resistance Ru2, Ru3, Ru4, Ru5, the capacitor Cu is composed in parallel by capacitor Cu1, Cu2, Cu3, Cu4;The electricity Resistance Rv is composed in series by potentiometer Rv1 and resistance Rv2, Rv3, Rv4, Rv5, and the capacitor Cv is by capacitor Cv1, Cv2, Cv3, Cv4 It composes in parallel;The resistance Rx=2.512M, the potentiometer Rx1=0K, described resistance Rx2=2M, Rx3=500K, Rx4= 10K, Rx5=2K, the capacitor Cx=0.012563uF, the capacitor Cx1=10nF, Cx2=2.2nF, Cx3=330PF, Cx4=33PF;The resistance Ry=3.394M, the potentiometer Ry1=0K, described resistance Ry2=3.3M, Ry3=51K, Ry4 =33K, Ry5=10K, the capacitor Cy=5.238uF, the capacitor Cy1=4.7uF, Cy2=470nF, Cy3=68nF, Cy4 is hanging;The resistance Rz=1.865M, the potentiometer Rz1=0K and described resistance Rz2=1M, Rz3=510K, Rz4= 360K, Rz5=5K, the capacitor Cz=0.538uF, described capacitor Cz1=470nF, Cz2=68nF, Cz3 are hanging, Cz4 is outstanding It is empty;The resistance Rw=1.104M, the potentiometer Rw1=0K and the resistance Rw2=1M, Rw3=100K, Rw4=2K, Rw5=2K, the capacitor Cw=0.05093uF, described capacitor Cw1=47nF, Cw2=3.3nF, Cw3=33PF, Cw4= 30PF;Described resistance Ru, Rv are hanging, and described capacitor Cu, Cv are hanging.
2, the 0.2 rank Lorenz type chaos system circuit based on T-type general score rank integrating circuit module, feature exist In:
(1) the mathematical model i of Lorenz type chaos system:
The mathematical model ii of (2) 0.2 rank Lorenz type chaos systems is:
(3) according to the mathematical model ii constructing analog circuit of 0.2 rank Lorenz type chaos system, operational amplifier is utilized U1, operational amplifier U2 and resistance and 0.2 rank integrating circuit module U5 of T-type, 0.2 rank integrating circuit module U6 of T-type, 0.2 rank of T-type Integrating circuit module U7 constitutes reverse phase adder and 0.2 rank integrator of reverse phase, realizes multiplication using multiplier U3 and multiplier U4 Operation, the operational amplifier U1 and operational amplifier U2 are used using LF347N, the multiplier U3 and multiplier U4 AD633JN;
The operational amplifier U1 connection operational amplifier U2,0.2 rank integrating circuit of multiplier U3, multiplier U4 and T-type Module, T-type 0.2 rank integrating circuit module U6, the operational amplifier U2 connection multiplier U3, multiplier U4 and 0.2 rank of T-type product Parallel circuit module U7, the multiplier U3 connection operational amplifier U1, the multiplier U4 connection operational amplifier U2;
The 1st pin of the operational amplifier U1 is connected by resistance R7 with the 6th pin of U1, and the 2nd pin passes through resistance R6 connects with the 1st pin, and the 3rd, 5,10,12 pins ground connection, the 4th pin meet VCC, and the 11st pin meets VEE, and the 6th pin connects T-type The A pin of 0.2 rank integrating circuit module U6, the 7th pin meet output y, are connected by resistance R1 with the 13rd pin, pass through resistance R8 Connect with the 2nd pin, connects the B pin of 0.2 rank integrating circuit module U6 of T-type, connect the 3rd pin of multiplier U4, the 8th pin connects defeated X out, is connected by resistance R4 with the 9th pin, is connected by resistance R5 with the 2nd pin, is connect the 1st pin of multiplier U3, connect and multiply The 1st pin of musical instruments used in a Buddhist or Taoist mass U4, connects the B pin of 0.2 rank integrating circuit module U5 of T-type, and the 9th pin connects 0.2 rank integrating circuit module of T-type The A pin of U5, the 13rd pin are connected by resistance R2 with the 14th pin, and the 14th pin is connected by resistance R3 with the 9th pin;
The operational amplifier U2 the 1st, 2,6,7 pin floating, the 3rd, 5,10,12 pins ground connection, the 4th pin meets VCC, 11st pin meets VEE, and the 8th pin exports z, connected by resistance R12 with the 9th pin, connect the 3rd pin of multiplier U3, meet T The B pin of 0.2 rank integrating circuit module of type, the 9th pin connect the A pin of 0.2 rank integrating circuit module U7 of T-type, and the 13rd pin is logical It crosses resistance R10 and connects the 14th pin, the 14th pin connects the 9th pin by resistance R13;
The 1st pin of the multiplier U3 connects the 8th foot of U1, and the 3rd pin connects the 8th pin of U2, the 2nd, 4,6 pins connect Ground, the 5th pin meet VEE, and the 7th pin connects the 6th pin of U1 by resistance R9, and the 8th pin meets VCC;
The 1st pin of the multiplier U4 connects the 8th foot of U1, and the 3rd pin connects the 7th foot of U1, the 2nd, 4,6 pins connect Ground, the 5th pin meet VEE, and the 7th pin connects the 13rd pin of U2 by resistance R11, and the 8th pin meets VCC;
The A pin of the 0.2 rank integrating circuit module U5 of T-type connects the 9th pin of operational amplifier U1, and B pin connects fortune Calculate the 8th pin of amplifier U1;
The A pin of the 0.2 rank integrating circuit module U6 of T-type connects the 6th pin of operational amplifier U1, and B pin connects fortune Calculate the 7th pin of amplifier U1;
The A pin of the 0.2 rank integrating circuit module U7 of T-type connects the 9th pin of operational amplifier U2, and B pin connects fortune Calculate the 8th pin of amplifier U2.
The beneficial effects of the invention are as follows:Using T-type structure, PCB circuit has been designed and produced, circuit is made of six parts, the After a part is by four resistance and the series connection of potentiometer, composed in parallel with four capacitors, behind five parts by four resistance After connecting with potentiometer, it is connected in series composition with four capacitor parallel connection parts, 0.2 rank General integral circuit of T-type is by first four It being grouped as, rear two parts do not have to, vacantly, and 0.2 rank fractional order chaotic system circuit of realization in this way, high reliablity, It is not easy to make mistakes.
Detailed description of the invention
Fig. 1 is T-type fractional order integration circuit module schematic diagram of internal structure (a) of the invention, internal practical connection figure (b) With 0.2 rank integrating circuit module map (c).
Fig. 2 is the schematic diagram of circuit connection structure of the preferred embodiment of the present invention.
Fig. 3 and Fig. 4 is the practical connection figure of circuit of the invention.
Specific embodiment
The present invention is further described in detail with preferred embodiment with reference to the accompanying drawing, referring to figures 1-4.
1, a kind of 0.2 rank T-type fractional order integration circuit module, it is characterized in that being:Resistance Rx is in parallel with capacitor Cx, is formed First part, resistance Ry connect with capacitor Cy, form second part, and resistance Rz connects with capacitor Cz, form Part III, resistance Rw connects with capacitor Cw, forms Part IV, and resistance Ru connects with capacitor Cu, forms Part V, and resistance Rv and capacitor Cv go here and there Connection, forms Part VI, and first part is to be connected in parallel with five parts below;The capacitor Cx by capacitor Cx1, Cx2, Cx3, Cx4 is composed in parallel;The resistance Ry is composed in series by potentiometer Ry1 and resistance Ry2, Ry3, Ry4, Ry5, and the capacitor Cy is by electricity Hold Cy1, Cy2, Cy3, Cy4 to compose in parallel;The resistance Rz is composed in series by potentiometer Rz1 and resistance Rz2, Rz3, Rz4, Rz5, The capacitor Cz is composed in parallel by capacitor Cz1, Cz2, Cz3, Cz4;The resistance Rw by potentiometer Rw1 and resistance Rw2, Rw3, Rw4, Rw5 are composed in series, and the capacitor Cw is composed in parallel by capacitor Cw1, Cw2, Cw3, Cw4;The resistance Ru is by potentiometer Ru1 It is composed in series with resistance Ru2, Ru3, Ru4, Ru5, the capacitor Cu is composed in parallel by capacitor Cu1, Cu2, Cu3, Cu4;The electricity Resistance Rv is composed in series by potentiometer Rv1 and resistance Rv2, Rv3, Rv4, Rv5, and the capacitor Cv is by capacitor Cv1, Cv2, Cv3, Cv4 It composes in parallel;The resistance Rx=2.512M, the potentiometer Rx1=0K, described resistance Rx2=2M, Rx3=500K, Rx4= 10K, Rx5=2K, the capacitor Cx=0.012563uF, the capacitor Cx1=10nF, Cx2=2.2nF, Cx3=330PF, Cx4=33PF;The resistance Ry=3.394M, the potentiometer Ry1=0K, described resistance Ry2=3.3M, Ry3=51K, Ry4 =33K, Ry5=10K, the capacitor Cy=5.238uF, the capacitor Cy1=4.7uF, Cy2=470nF, Cy3=68nF, Cy4 is hanging;The resistance Rz=1.865M, the potentiometer Rz1=0K and described resistance Rz2=1M, Rz3=510K, Rz4= 360K, Rz5=5K, the capacitor Cz=0.538uF, described capacitor Cz1=470nF, Cz2=68nF, Cz3 are hanging, Cz4 is outstanding It is empty;The resistance Rw=1.104M, the potentiometer Rw1=0K and the resistance Rw2=1M, Rw3=100K, Rw4=2K, Rw5=2K, the capacitor Cw=0.05093uF, described capacitor Cw1=47nF, Cw2=3.3nF, Cw3=33PF, Cw4= 30PF;Described resistance Ru, Rv are hanging, and described capacitor Cu, Cv are hanging.
2, the 0.2 rank Lorenz type chaos system circuit based on T-type general score rank integrating circuit module, feature exist In:
(1) the mathematical model i of Lorenz type chaos system:
The mathematical model ii of (2) 0.2 rank Lorenz type chaos systems is:
(3) according to the mathematical model ii constructing analog circuit of 0.2 rank Lorenz type chaos system, operational amplifier is utilized U1, operational amplifier U2 and resistance and 0.2 rank integrating circuit module U5 of T-type, 0.2 rank integrating circuit module U6 of T-type, 0.2 rank of T-type Integrating circuit module U7 constitutes reverse phase adder and 0.2 rank integrator of reverse phase, realizes multiplication using multiplier U3 and multiplier U4 Operation, the operational amplifier U1 and operational amplifier U2 are used using LF347N, the multiplier U3 and multiplier U4 AD633JN;
The operational amplifier U1 connection operational amplifier U2,0.2 rank integrating circuit of multiplier U3, multiplier U4 and T-type Module, T-type 0.2 rank integrating circuit module U6, the operational amplifier U2 connection multiplier U3, multiplier U4 and 0.2 rank of T-type product Parallel circuit module U7, the multiplier U3 connection operational amplifier U1, the multiplier U4 connection operational amplifier U2;
The 1st pin of the operational amplifier U1 is connected by resistance R7 with the 6th pin of U1, and the 2nd pin passes through resistance R6 connects with the 1st pin, and the 3rd, 5,10,12 pins ground connection, the 4th pin meet VCC, and the 11st pin meets VEE, and the 6th pin connects T-type The A pin of 0.2 rank integrating circuit module U6, the 7th pin meet output y, are connected by resistance R1 with the 13rd pin, pass through resistance R8 Connect with the 2nd pin, connects the B pin of 0.2 rank integrating circuit module U6 of T-type, connect the 3rd pin of multiplier U4, the 8th pin connects defeated X out, is connected by resistance R4 with the 9th pin, is connected by resistance R5 with the 2nd pin, is connect the 1st pin of multiplier U3, connect and multiply The 1st pin of musical instruments used in a Buddhist or Taoist mass U4, connects the B pin of 0.2 rank integrating circuit module U5 of T-type, and the 9th pin connects 0.2 rank integrating circuit module of T-type The A pin of U5, the 13rd pin are connected by resistance R2 with the 14th pin, and the 14th pin is connected by resistance R3 with the 9th pin;
The operational amplifier U2 the 1st, 2,6,7 pin floating, the 3rd, 5,10,12 pins ground connection, the 4th pin meets VCC, 11st pin meets VEE, and the 8th pin exports z, connected by resistance R12 with the 9th pin, connect the 3rd pin of multiplier U3, meet T The B pin of 0.2 rank integrating circuit module of type, the 9th pin connect the A pin of 0.2 rank integrating circuit module U7 of T-type, and the 13rd pin is logical It crosses resistance R10 and connects the 14th pin, the 14th pin connects the 9th pin by resistance R13;
The 1st pin of the multiplier U3 connects the 8th foot of U1, and the 3rd pin connects the 8th pin of U2, the 2nd, 4,6 pins connect Ground, the 5th pin meet VEE, and the 7th pin connects the 6th pin of U1 by resistance R9, and the 8th pin meets VCC;
The 1st pin of the multiplier U4 connects the 8th foot of U1, and the 3rd pin connects the 7th foot of U1, the 2nd, 4,6 pins connect Ground, the 5th pin meet VEE, and the 7th pin connects the 13rd pin of U2 by resistance R11, and the 8th pin meets VCC;
The A pin of the 0.2 rank integrating circuit module U5 of T-type connects the 9th pin of operational amplifier U1, and B pin connects fortune Calculate the 8th pin of amplifier U1;
The A pin of the 0.2 rank integrating circuit module U6 of T-type connects the 6th pin of operational amplifier U1, and B pin connects fortune Calculate the 7th pin of amplifier U1;
The A pin of the 0.2 rank integrating circuit module U7 of T-type connects the 9th pin of operational amplifier U2, and B pin connects fortune Calculate the 8th pin of amplifier U2.
Resistance R2=R3=R6=R7=R10=R13=10k Ω, R1=R4=5k Ω, R8=9.4k Ω, R5 in circuit =7.14k Ω, R9=R11=1k Ω, R12=35.7k Ω.
Certainly, above description is not limitation of the present invention, and the present invention is also not limited to the example above, the art The variations, modifications, additions or substitutions that those of ordinary skill is made within the essential scope of the present invention also belong to guarantor of the invention Protect range.

Claims (1)

1. a kind of 0.2 rank T-type fractional order integration circuit module, it is characterized in that being:Resistance Rx is in parallel with capacitor Cx, forms first Part, resistance Ry connect with capacitor Cy, form second part, and resistance Rz connect with capacitor Cz, formation Part III, resistance Rw and Capacitor Cw series connection, forms Part IV, and resistance Ru connects with capacitor Cu, forms Part V, and resistance Rv connects with capacitor Cv, shape At Part VI, first part is to be connected in parallel with five parts below;The resistance Rx by potentiometer Rx1 and resistance Rx2, Rx3, Rx4, Rx5 are composed in series, and the capacitor Cx is composed in parallel by capacitor Cx1, Cx2, Cx3, Cx4;The resistance Ry is by potentiometer Ry1 It is composed in series with resistance Ry2, Ry3, Ry4, Ry5, the capacitor Cy is composed in parallel by capacitor Cy1, Cy2, Cy3, Cy4;The electricity Resistance Rz is composed in series by potentiometer Rz1 and resistance Rz2, Rz3, Rz4, Rz5, and the capacitor Cz is by capacitor Cz1, Cz2, Cz3, Cz4 It composes in parallel;The resistance Rw is composed in series by potentiometer Rw1 and resistance Rw2, Rw3, Rw4, Rw5, and the capacitor Cw is by capacitor Cw1, Cw2, Cw3, Cw4 are composed in parallel;The resistance Ru is composed in series by potentiometer Ru1 and resistance Ru2, Ru3, Ru4, Ru5, institute Capacitor Cu is stated to be composed in parallel by capacitor Cu1, Cu2, Cu3, Cu4;The resistance Rv by potentiometer Rv1 and resistance Rv2, Rv3, Rv4, Rv5 is composed in series, and the capacitor Cv is composed in parallel by capacitor Cv1, Cv2, Cv3, Cv4;The resistance Rx=2.512M, the electricity Position device Rx1=0K, described resistance Rx2=2M, Rx3=500K, Rx4=10K, Rx5=2K, the capacitor Cx= 0.012563uF, described capacitor Cx1=10nF, Cx2=2.2nF, Cx3=330PF, Cx4=33PF;The resistance Ry= 3.394M, the potentiometer Ry1=0K, described resistance Ry2=3.3M, Ry3=51K, Ry4=33K, Ry5=10K, the electricity Hold Cy=5.238uF, described capacitor Cy1=4.7uF, Cy2=470nF, Cy3=68nF, Cy4 are hanging;The resistance Rz= 1.865M, the potentiometer Rz1=0K and described resistance Rz2=1M, Rz3=510K, Rz4=360K, Rz5=5K, the electricity Hold Cz=0.538uF, described capacitor Cz1=470nF, Cz2=68nF, Cz3 are hanging, Cz4 is hanging;The resistance Rw= 1.104M, the potentiometer Rw1=0K and described resistance Rw2=1M, Rw3=100K, Rw4=2K, Rw5=2K, the capacitor Cw=0.05093uF, described capacitor Cw1=47nF, Cw2=3.3nF, Cw3=33PF, Cw4=30PF;Described resistance Ru, Rv Hanging, described capacitor Cu, Cv are hanging.
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CN104486062B (en) * 2014-12-14 2015-09-16 国网山东省电力公司泰安供电公司 Based on the Liu chaos system circuit of the 0.4 T-shaped fractional order integration circuit module in rank
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