CN115001528A - Composite chaotic sequence detection and communication integrated spread spectrum signal design method - Google Patents
Composite chaotic sequence detection and communication integrated spread spectrum signal design method Download PDFInfo
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Abstract
A method for designing a composite chaotic sequence detection and communication integrated spread spectrum signal comprises the steps of firstly giving an initial value c to Tent mapping, and calculating to obtain a result S (x) t ) Mixing S (x) t ) S (x) is calculated as the initial value of the Chebyshev mapping c ) And mixing S (x) c ) Binary processing is carried out to obtain Tent-Chebyshev (TC) composite chaotic sequence S TC (t) then adding S TC (t) spreading the communication signal a (t) as a spreading sequence, modulating the detection signal by the spreading signal through BPSK to form an integrated signal with detection and communication capabilities, and demodulating and despreading at a communication receiving end to obtain communication data; at a radar receiving end, after the integrated signal reaches a detection target, the echo signal of the integrated signal is matched and filtered to obtain detection information. The invention can effectively solve the problems of periodicity of the common PN sequence,The method has the advantages of being easy to implement and high in security compared with other detection and communication integrated signals.
Description
Technical Field
The invention relates to the field of detection communication, in particular to a detection communication integrated signal design method.
Background
In a spread spectrum probing and communication integrated system, a Pseudo-noise (PN) sequence such as an m-sequence and a Gold sequence is usually used as a spread spectrum sequence, but due to the disadvantages of low periodicity and low linear complexity of the PN sequence, a probing and communication integrated signal has a safety problem of being easy to crack. The chaotic sequence has higher safety due to the characteristics of non-periodicity, randomness and the like and very sensitivity to the initial value. However, a cracking method exists in the single chaotic mapping model at present, so that a composite chaotic sequence detection and communication integrated spread spectrum signal design method is provided. The method adopts the composite chaotic sequence as the spread spectrum sequence of the spread spectrum detection and communication integrated system, effectively improves the complexity of the spread spectrum sequence and enhances the confidentiality of the spread spectrum detection and communication integrated system.
Disclosure of Invention
The method for designing the composite chaotic sequence detection and communication integrated spread spectrum signal is applied to a spread spectrum detection and communication integrated system, a generated Tent chaotic mapping sequence is used as an initial value of Chebyshev chaotic mapping to form a TC composite chaotic sequence, and a specific schematic diagram of the generated TC composite chaotic sequence is shown in an attached figure 2. And finally, multiplying the communication signal a (t) by the TC composite chaotic sequence for spread spectrum processing, and modulating an LFM signal by the spread spectrum signal through BPSK to form an integrated signal with detection and communication capabilities, wherein the schematic diagram of the integrated signal is shown in figure 1.
The invention solves the technical problems that: the generated Tent chaotic sequence is used as an initial value of Chebyshev chaotic mapping and forms a TC composite chaotic sequence through binarization, a flow chart of the method is shown in figure 3, the sequence is applied to signal encryption of a spread spectrum detection and communication integrated system, the confidentiality of the spread spectrum detection and communication integrated system can be effectively improved, and the safety of the spread spectrum detection and communication integrated system is enhanced.
The technical scheme of the invention is as follows: a composite chaotic sequence detection and communication integrated spread spectrum signal design method comprises the following steps:
1) setting the initial value of the Tent chaotic mapping as c, and calculating to obtain the result of the Tent chaotic mapping as S (x) t ) Mixing S (x) t ) The initial value is endowed with Chebyshev chaotic mapping, and the result of the Chebyshev chaotic mapping is calculated to be S (x) c ) Then to S (x) c ) Binary processing is carried out to obtain a TC composite chaotic sequence S TC (t)；
2) Then the S is TC And (t) carrying out spread spectrum modulation on the communication signal to obtain a spread spectrum signal, and modulating the spread spectrum signal to the detection signal through BPSK to form an integrated signal with detection and communication capabilities.
Step 1) setting an initial value of Tent chaotic mapping as c, wherein the formula of the generated Tent chaotic mapping is as follows:
h in the formula (1) is a constant, when h is more than 0 and less than 1, x is more than or equal to 0 t When the Tent mapping is less than or equal to 1, the Tent mapping is in a chaotic state. Substituting the initial value c into a Tent chaotic mapping formula to obtain a Tent chaotic mapping result S (x) t ) Mixing S (x) t ) As an initial value of the Chebyshev chaotic map, the Chebyshev chaotic map has the following implementation formula:
S(x c )＝cos(p cos -1 x c )-1≤x c ≤1 (2)
in the formula (2), p represents the order of the Chebyshev mapping, and when p is more than 2, the system is in a chaotic state. The generated Chebyshev chaos mapping S (x) c ) Binary processing is carried out to obtain a TC composite chaotic sequence S TC (t), the function used for binarization is a gate function, and the realization formula is as follows:
when S (x) c ) S is greater than or equal to threshold TC And (t) is 1, otherwise, 0, and the setting of the threshold can adjust the run length, balance and other characteristics of the output binary spread spectrum sequence. The spreading sequence generated by the method has good self-correlation, cross-correlation, non-periodicity and randomness.
Step 2) adding S TC And (t) carrying out spread spectrum modulation on the communication signal to obtain a spread spectrum signal, and modulating the spread spectrum signal to the detection signal through BPSK to form an integrated signal with detection and communication capabilities. Let the communication signal of the transmitting end be a (t), its formula is as follows:
in the formula (4), a m Is a code element, T a Is code width, g a (T) represents a pulse width of T a The square pulse of (2). Step 1) obtaining a TC composite chaotic sequence S TC (t)：
C in formula (5) m For spreading codes, T c Is code width, g c (T) represents a pulse width of T c The spread signal d (t) is:
in the formula (6), d m Is a m And c m Adding a second mold to obtain:
the LFM signal has the characteristics of large time-bandwidth product, insensitivity to Doppler frequency shift and the like and is widely applied to a detection system, so that the detection signal in the invention adopts the LFM signal and the mathematical expression s thereof lfm (t) is:
s lfm (t)＝exp(jπkt 2 ) (8)
the spread spectrum signal is subjected to BPSK modulation LFM signal to finally obtain a composite chaotic sequence detection communication integrated spread spectrum signal s i The expression of (t) is as follows:
compared with the prior art, the invention has the advantages that: the method for designing the composite chaotic sequence detection and communication integrated spread spectrum signal effectively improves the complexity of the spread spectrum sequence and enhances the safety of the spread spectrum detection and communication integrated system, and can improve the safety of the signal compared with the traditional spread spectrum sequence or a single chaotic spread spectrum sequence.
Drawings
FIG. 1 is a schematic diagram of the design of a composite chaotic sequence detection communication integrated spread spectrum signal in the method of the present invention.
FIG. 2 is a schematic diagram of the TC complex chaotic sequence generation method of the present invention.
FIG. 3 is a flow chart of the method of the present invention for generating a TC complex chaotic sequence.
Detailed Description
The flow chart of the composite chaotic sequence detection and communication integrated spread spectrum signal design method is shown in the attached figure 3, and the specific steps are as follows:
1) setting the initial value of the Tent chaotic map as c, and calculating to obtain the result S (x) of the Tent chaotic map t ) Mixing S (x) t ) Endowing the Chebyshev chaotic map as an initial value, and calculating the result of the Chebyshev chaotic map to be S (x) c ) Then to S (x) c ) Binary processing is carried out to obtain a TC composite chaotic sequence S TC (t)；
2) Then the S is TC And (t) carrying out spread spectrum modulation on the communication signal to obtain a spread spectrum signal, and modulating the spread spectrum signal to the detection signal through BPSK to form an integrated signal with detection and communication capabilities.
Step 1) setting an initial value of Tent chaotic mapping as c, wherein the formula of the generated Tent chaotic mapping is as follows:
h in the formula (1) is a constant, when h is more than 0 and less than 1, x is more than or equal to 0 t When the Tent mapping is less than or equal to 1, the Tent mapping is in a chaotic state. Substituting the initial value c into a Tent chaotic mapping formula to obtain a Tent chaotic mapping result S (x) t ) Mixing S (x) t ) As an initial value of the Chebyshev chaotic map, the Chebyshev chaotic map has the following implementation formula:
S(x c )＝cos(p cos -1 x c )-1≤x c ≤1 (11)
in the formula (2), p represents the order of the Chebyshev mapping, and when p is more than 2, the system is in a chaotic state. The generated Chebyshev chaos mapping S (x) c ) Binary processing is carried out to obtain a TC composite chaotic sequence S TC (t), the function used for binarization is a gate function, and the realization formula is as follows:
when S (x) c ) S is greater than or equal to threshold TC And (t) is 1, otherwise, 0, and the setting of the threshold can adjust the characteristics of the run length, balance and the like of the output binary spread spectrum sequence. The spread spectrum sequence generated by the method has good self-correlation, cross-correlation, non-periodicity and randomness.
Step 2) adding S TC And (t) carrying out spread spectrum modulation on the communication signal to obtain a spread spectrum signal, and modulating the spread spectrum signal to the detection signal through BPSK to form an integrated signal with detection and communication capabilities. Let the communication signal of the transmitting end be a (t), and its formula is as follows:
in the formula (4), a m Is a code element, T a Is code width, g a (T) represents a pulse width of T a Moment ofA pulse is shaped. Step 1) obtaining a TC composite chaotic sequence S TC (t)，
C in formula (5) m For spreading codes, T c Is code width, g c (T) represents a pulse width of T c The spread signal d (t) is:
in the formula (6), d m Is a m And c m And adding the mold two to obtain the product:
the LFM signal has the characteristics of large time-bandwidth product, insensitive Doppler frequency shift and the like and is widely applied to a detection system, so that the detection signal adopts the LFM signal and the mathematical expression s thereof lfm (t) is:
s lfm (t)＝exp(jπkt 2 ) (17)
the spread spectrum signal is subjected to BPSK modulation LFM signal to finally obtain a composite chaotic sequence detection communication integrated spread spectrum signal s i The expression of (t) is as follows:
the above-mentioned embodiments, objects, technical solutions and advantages of the present invention are further described in detail, it should be understood that the above-mentioned embodiments are only examples of the present invention, and are not intended to limit the scope of the present invention, and any modifications, equivalent substitutions, improvements and the like made within the spirit and principle of the present invention should be included in the scope of the present invention.
Claims (3)
1. The method for designing the composite chaotic sequence detection and communication integrated spread spectrum signal is characterized by comprising the following steps of:
1) setting the initial value of the Tent chaotic map as c, and calculating to obtain the result S (x) of the Tent chaotic map t ) Mixing S (x) t ) The initial value is endowed with Chebyshev chaotic mapping, and the result of the Chebyshev chaotic mapping is calculated to be S (x) c ) Then to S (x) c ) Binary processing is carried out to obtain a TC composite chaotic sequence S TC (t)；
2) Then the S is TC And (t) carrying out spread spectrum modulation on the communication signal to obtain a spread spectrum signal, and modulating the spread spectrum signal to the detection signal through BPSK to form an integrated signal with detection and communication capabilities.
2. The method for designing a composite chaotic sequence detection and communication integrated spread spectrum signal according to claim 1, wherein: step 1) setting an initial value of Tent chaotic mapping as c, wherein the formula of the generated Tent chaotic mapping is as follows:
h in the formula (1) is a constant, when h is more than 0 and less than 1, x is more than or equal to 0 t When the Tent mapping is less than or equal to 1, the Tent mapping is in a chaotic state. Substituting the initial value c into a Tent chaotic mapping formula to obtain a Tent chaotic mapping result S (x) t ) Mixing S (x) t ) As an initial value of the Chebyshev chaotic map, the Chebyshev chaotic map has the following implementation formula:
S(x c )＝cos(pcos -1 x c )-1≤x c ≤1 (2)
in the formula (2), p represents the order of the Chebyshev mapping, and when p is more than 2, the system is in a chaotic state. The generated Chebyshev chaos mapping S (x) c ) Binary processing is carried out to obtain a TC composite chaotic sequence S TC (t), the function used for binarization is a gate function, and the realization formula is as follows:
when S (x) c ) When the threshold is more than or equal to, S TC And (t) is 1, otherwise, 0, and the setting of the threshold can adjust the characteristics of the run length, balance and the like of the output binary spread spectrum sequence. The spread spectrum sequence generated by the method has good self-correlation, cross-correlation, non-periodicity and randomness.
3. The method for designing a composite chaotic sequence detection and communication integrated spread spectrum signal according to claim 1, characterized in that: step 2) adding S TC And (t) carrying out spread spectrum modulation on the communication signal to obtain a spread spectrum signal, and modulating the spread spectrum signal to the detection signal through BPSK to form an integrated signal with detection and communication capabilities. Let the communication signal of the transmitting end be a (t), and its formula is as follows:
in the formula (4), a m Is a code element, T a Is code width, g a (T) represents a pulse width of T a The square pulse of (2). Step 1) obtaining a TC composite chaotic sequence S TC (t)：
C in formula (5) m For spreading codes, T c Is code width, g c (T) represents a pulse width of T c The spread signal d (t) is:
in the formula (6), d m Is a m And c m Modulo two addition to obtainNamely:
the LFM signal has the characteristics of large time-bandwidth product, insensitive Doppler frequency shift and the like and is widely applied to a detection system, so that the detection signal adopts the LFM signal and the mathematical expression s thereof lfm (t) is:
s lfm (t)＝exp(jπkt 2 ) (8)
the spread spectrum signal is subjected to BPSK modulation LFM signal to finally obtain a composite chaotic sequence detection communication integrated spread spectrum signal s i The expression of (t) is as follows:
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Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101599775A (en) * | 2009-06-26 | 2009-12-09 | 中国科学院微电子研究所 | Method and device for constructing spread spectrum code |
| CN110764067A (en) * | 2019-10-15 | 2020-02-07 | 哈尔滨工程大学 | Fourier transform LFM-BPSK composite modulation radar signal parameter estimation method |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN101599775A (en) * | 2009-06-26 | 2009-12-09 | 中国科学院微电子研究所 | Method and device for constructing spread spectrum code |
| CN110764067A (en) * | 2019-10-15 | 2020-02-07 | 哈尔滨工程大学 | Fourier transform LFM-BPSK composite modulation radar signal parameter estimation method |
Non-Patent Citations (3)
| Title |
|---|
| WANG SHANSHAN; LIU ZHENG; XIE RONG; WANG JINGJING: "VCR-LFM-BPSK signal design for countering advanced interception technologies" * |
| WANG, JIANXIN AND YONGFENG WANG: "Analysis Performance of MC-CDMA Communication System Based on Improved Chebyshev Sequence" * |
| 贺占权; 李晓青; 倪远涵: "基于变速率的高吞吐率LFM-BPSK一体化波形" * |
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Application publication date: 20220902 |