CN108400865A - One kind being based on DCSK chaos encrypting methods - Google Patents
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- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/001—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using chaotic signals
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Abstract
The invention discloses one kind being based on DCSK chaos encrypting methods, includes the following steps：1) bipolar signal is randomly generated in transmitting terminal；2) bipolar signal in step 1) is input in second order inverse time chaos system and generates chaotic signal；3) signal after the bipolar signal in step 1) being multiplied with the chaotic signal in step 2)；4) binary signal of transmitting terminal is become into bipolar signal；5) signal after being multiplied in the bipolar signal and step 3) in step 4) is multiplied again as transmission signal；6) it receives signal and is integrated in a neighborhood at each reception each integer point moment intermediate value of signal, then its binaryzation is obtained into the bipolar signal of receiving terminal；7) binary signal of transmitting terminal can be recovered by the bipolar signal of receiving terminal being become binary signal.The present invention generates chaotic signal using second order inverse time chaos system and carries out keyed cryptographic to the binary signal to be sent.
Description
Technical field
The invention belongs to secret communication fields, and in particular to one kind being based on DCSK chaos encrypting methods.
Background technology
Although chaotic signal structure is more complicated, the composition of chaos system is fairly simple.The research of chaotic communication
It include mainly mutually the following aspects：It is encrypted using chaos technology；Spread spectrum communication and chaos are carried out using chaos
Modulation technique.Chaos modulation (DCSK) encipherment scheme includes mainly two kinds at present.A method of using coherent demodulation, this
It is a to need to know that the information of transmitting terminal just recover the signal of transmission in receiving terminal, thus very dependent on Chaotic Synchronous and
It is more sensitive for noise.And the mode of non-coherent demodulation is without Chaotic Synchronous, it is stronger for the anti-interference ability of noise,
Therefore application is very extensive.
Invention content
The object of the present invention is to provide one kind being based on DCSK chaos encrypting methods, and this method utilizes second order inverse time chaos system
It generates chaotic signal and keyed cryptographic is carried out to the binary signal to be sent.
The present invention adopts the following technical scheme that realize：
One kind being based on DCSK chaos encrypting methods, includes the following steps：
1) a series of bipolar signals of random generation；
2) using the bipolar signal in step 1) as the input of second order inverse time chaos system, to generate chaotic signal；
3) by the bipolar sequence in step 1) with the chaotic signal in step 2), the phase in each corresponding code-element period
The multiplied chaotic signal to after being multiplied, to ensure in a neighborhood at each integer moment intermediate value, the value of chaotic signal is all
More than 0；
4) binary signal to be sent is converted into bipolar signal；
5) chaotic signal after being multiplied in the bipolar signal and step 4) in step 5) is multiplied again as transmission signal；
6) signal come in self-channel is received, a neighborhood of the signal at each integer point moment intermediate value then will be received
It is inside integrated, its binaryzation is then obtained into the bipolar signal of receiving terminal；
7) bipolar signal of receiving terminal is become into binary signal can be obtained be transmitting terminal binary signal.
The present invention, which further improves, to be, in step 3), second order inverse time chaos system, mathematic(al) representation is：
Wherein, u is the inverse time chaotic signal of required generation,It is the second-order differential of u,It is the first differential of u, β and ω
It is the control parameter of the system, ω is angular frequency；
Excitation function s (t) is described as：
S (t)=sn, n ＜ t≤n+1 (2)
Wherein snIt is bipolar sequence.
The present invention, which further improves, to be, it is rapid 4) in, bipolar signal s (t) and inverse time chaotic signal u (t) are carried out
Chaotic signal y (t) after being multiplied, i.e.,：
Y (t)=u (t) × s (t) (3).
The present invention further improve is, in step 6), by after multiplication chaotic signal and the binary system to be sent
Signal m (t) multiplications obtain sending signal r (t), i.e.,：
R (t)=m (t) × y (t) (4)
It obtains receiving signal R (t) to signal addition noise w (t) is sent, i.e.,：
R (t)=r (t)+w (t) (5).
The present invention, which further improves, to be, in step 7), docks one of the collection of letters number at its integer point moment intermediate value
It is integrated in neighborhood：
Wherein, l is the length of the neighborhood of integral, then to stnIt carries out binaryzation and obtains kn, i.e.,：
The present invention, which further improves, to be, in step 8), the bipolar sequence after integral is become binary signal i.e.
The binary signal of transmitting terminal can be obtained：
The present invention has following beneficial technical benefits：
1) cipher round results are good
The bipolar signal of the generation chaotic signal of the present invention randomly generates, complete with the binary signal to be sent
It is not associated with entirely.
2) bit error rate is low
Receiving terminal recovers the binary signal of transmitting terminal using integral, theoretically for the program the bit error rate
It goes to zero
3) efficiency of transmission is high
Traditional DCSK is in one binary signal of two code elements period internal modulation, and scheme proposed in this paper is in a symbol
One binary signal of period internal modulation.
Description of the drawings
Fig. 1 is the bipolar signal figure randomly generated；
The inverse time chaotic signal figure that Fig. 2 is generated with the bipolar signal randomly generated；
Fig. 3 is the chaotic signal figure after being multiplied with inverse time chaotic signal with bipolar sequence；
Fig. 4 is the binary signal figure to be sent；
Fig. 5 is the chaotic signal figure after the binary signal sent is multiplied with chaos；
Fig. 6 is to send Signal averaging noise pattern；
Fig. 7 is receiving terminal signal graph obtained by the adjacent domain integral at output signal integer moment；
Fig. 8 is the binary signal figure of transmitting terminal obtained by integrating the signal progress binaryzation of gained.
Specific implementation mode
The present invention is described in detail with reference to the accompanying drawings and examples.
The present invention utilizes second order inverse time chaos system, expression formula as follows：
Wherein, u is the inverse time chaotic signal of required generation,It is the second-order differential of u,It is the first differential of u, β and ω
It is the control parameter of the system, ω is angular frequency；
Excitation function s (t) is described as：
S (t)=sn, n ＜ t≤n+1 (2)
Wherein snIt is bipolar signal.
It is as shown in Figure 1 to randomly generate a series of bipolar signal：sn=[- 1-1-1 1-1 1 1-1 1 1-1
-1 -1 1 -1 1 1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 1 -1 -1 1 -1 1 1 -1 1 -1 -1 -1
1 -1 -1 1 -1 1 1-1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 1 -1 -1 1 -1 -1 -1 1 -1 1 1 -1
1 1 -1 -1 -1 1 -1 1]；
By the s of above-mentioned generationnIt is updated to formula (1) and generates corresponding chaotic signal u (t) as shown in Figure 2；
S (t) is multiplied to obtain the modulated chaotic signal y (t) of transmitting terminal as shown in figure 3, i.e. with u (t)：
Y (t)=s (t) × u (t) (3)
The binary signal m (t) to be sent is multiplied to obtain as shown in Figure 4 with modulated chaotic signal y (t) to send signal
As shown in Figure 5：
R (t)=m (t) × y (t) (4)
Obtain receiving signal R (t) as shown in fig. 6, i.e. to signal addition noise w (t) is sent：
R (t)=r (t)+w (t) (5)
The docking collection of letters number is integrated to obtain st in a neighborhood at its integer point moment intermediate valuenAs shown in fig. 7, l
=0.25：
Wherein, l is half length of the neighborhood of integral, then to stnIt carries out binaryzation and obtains kn, i.e.,：
Bipolar sequence after integral is become into binary signal as shown in figure 8, can be obtained the binary system letter of transmitting terminal
Number.
Embodiment
Using a specific signal as example, to being verified to the present invention, wherein Fig. 6 is to send signal, and Fig. 7 is practical
The signal transmitted in the channel, Fig. 8 are the binary signals finally recovered, and the noise simulated in channel is white Gaussian noise,
The binary signal of Signal to Noise Ratio (SNR)=0dB, binary signal and recovery from transmission can be seen that the feasibility of this method.
Claims (6)
1. one kind being based on DCSK chaos encrypting methods, which is characterized in that include the following steps：
1) a series of bipolar signals of random generation；
2) using the bipolar signal in step 1) as the input of second order inverse time chaos system, to generate chaotic signal；
3) mutually multiplied in each corresponding code-element period by the bipolar sequence in step 1) and the chaotic signal in step 2)
Chaotic signal after to multiplication, to ensure in a neighborhood at each integer moment intermediate value, the value of chaotic signal is all greater than 0
's；
4) binary signal to be sent is converted into bipolar signal；
5) chaotic signal after being multiplied in the bipolar signal and step 4) in step 5) is multiplied again as transmission signal；
6) receive come self-channel in signal, then will receive signal in a neighborhood at each integer point moment intermediate value into
Row integral, then obtains the bipolar signal of receiving terminal by its binaryzation；
7) bipolar signal of receiving terminal is become into binary signal can be obtained be transmitting terminal binary signal.
2. according to claim 1 a kind of based on DCSK chaos encrypting methods, which is characterized in that in step 3), second order is inverse
When chaos system, mathematic(al) representation is：
Wherein, u is the inverse time chaotic signal of required generation,It is the second-order differential of u,It is the first differential of u, β and ω are these
The control parameter of system, ω are angular frequency；
Excitation function s (t) is described as：
S (t)=sn, n ＜ t≤n+1 (2)
Wherein snIt is bipolar sequence.
A kind of being based on DCSK chaos encrypting methods 3. according to claim 2, which is characterized in that it is rapid 4) in, by bipolarity
Signal s (t) be multiplied with inverse time chaotic signal u (t) after chaotic signal y (t), i.e.,：
Y (t)=u (t) × s (t) (3).
4. according to claim 3 a kind of based on DCSK chaos encrypting methods, which is characterized in that in step 6), will be multiplied
Chaotic signal afterwards, which is multiplied to obtain with the binary signal m (t) to be sent, sends signal r (t), i.e.,：
R (t)=m (t) × y (t) (4)
It obtains receiving signal R (t) to signal addition noise w (t) is sent, i.e.,：
R (t)=r (t)+w (t) (5).
5. according to claim 4 a kind of based on DCSK chaos encrypting methods, which is characterized in that in step 7), to receiving
Signal is integrated in a neighborhood at its integer point moment intermediate value：
Wherein, l is the length of the neighborhood of integral, then to stnIt carries out binaryzation and obtains kn, i.e.,：
6. according to claim 5 a kind of based on DCSK chaos encrypting methods, which is characterized in that in step 8), will integrate
Bipolar sequence afterwards becomes the binary signal that binary signal can be obtained transmitting terminal：
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN114024660A (en) * | 2021-10-25 | 2022-02-08 | 杭州电子科技大学 | Chaotic encryption OFDM system with noise reduction function in 5G network |
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| CN104393977A (en) * | 2014-12-04 | 2015-03-04 | 中邮科通信技术股份有限公司 | Synchronization method of differential chaos shift keying or frequency-modification differential chaos keying ultra wideband system |
| CN105933104A (en) * | 2016-07-04 | 2016-09-07 | 重庆邮电大学 | Multi-user difference chaotic communication system based on Walsh codes |
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| CN104393977A (en) * | 2014-12-04 | 2015-03-04 | 中邮科通信技术股份有限公司 | Synchronization method of differential chaos shift keying or frequency-modification differential chaos keying ultra wideband system |
| CN105933104A (en) * | 2016-07-04 | 2016-09-07 | 重庆邮电大学 | Multi-user difference chaotic communication system based on Walsh codes |
| CN107872412A (en) * | 2016-09-27 | 2018-04-03 | 重庆邮电大学 | A kind of energy-efficient difference chaotic communication system |
| CN108075878A (en) * | 2017-12-23 | 2018-05-25 | 长安大学 | A kind of Chaotic Secure Speech Communication method based on transmitting terminal |
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| GEORGES KADDOUM ECT.: ""I-DCSK: An Improved Noncoherent Communication System Architecture"", 《IEEE》 * |
| GEORGES KADDOUM ECT.: ""NR-DCSK: A Noise Reduction Differential Chaos Shift Keying System"", 《IEEE》 * |
| 刘立东等: ""Easy encoding and low bit-error-rate chaos communication system based on reverse-time chaotic oscillator"", 《IET SIGNAL PROCESSING》 * |
| 杨华: ""基于DCSK的混沌数字调制研究"", 《中国博士学位论文全文数据库 信息科技辑》 * |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN114024660A (en) * | 2021-10-25 | 2022-02-08 | 杭州电子科技大学 | Chaotic encryption OFDM system with noise reduction function in 5G network |
| CN114024660B (en) * | 2021-10-25 | 2024-01-12 | 杭州电子科技大学 | Chaotic encryption OFDM system with noise reduction function in 5G network |
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