CN106357363A - Chaotic mapping method suitable for code division multiple access spread spectrum communication and application of chaotic mapping method - Google Patents

Chaotic mapping method suitable for code division multiple access spread spectrum communication and application of chaotic mapping method Download PDF

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Publication number
CN106357363A
CN106357363A CN201610803308.9A CN201610803308A CN106357363A CN 106357363 A CN106357363 A CN 106357363A CN 201610803308 A CN201610803308 A CN 201610803308A CN 106357363 A CN106357363 A CN 106357363A
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mapping
chaotic
value
oscm
mapping method
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武晓鸽
张琳
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Sun Yat Sen University
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Sun Yat Sen University
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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
    • H04L9/001Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using chaotic signals
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04JMULTIPLEX COMMUNICATION
    • H04J13/00Code division multiplex systems
    • H04J13/0007Code type
    • H04J13/0018Chaotic

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Computer Security & Cryptography (AREA)
  • Data Exchanges In Wide-Area Networks (AREA)

Abstract

The invention discloses a chaotic mapping method suitable for code division multiple access spread spectrum communication and application of the chaotic mapping method. The chaotic mapping method includes: using ICMIC (iterative chaotic mapping with infinite collapses) mapping as input of improved Logistic mapping to build a new chaotic mapping model L-I-OSCM; specifically, using an iteration value of the ICMIC mapping as an input value of the improved Logistic mapping and an iteration value of the improved Logistic mapping as an input value of the ICMIC mapping. The chaotic mapping method is higher in attractor complexity and sensitivity to initial conditions. The application refers to using a chaotic sequence generated the chaotic mapping method as a spreading code to be applied to a visible light communication to realize multiple access of a user.

Description

A kind of chaotic maps method being applied to CDMA bandspread communication and application
Technical field
The present invention relates to spread spectrum communication field, more particularly, to a kind of CDMA bandspread communication system that is applied to Chaotic maps method and application.
Background technology
Spread spectrum communication is widely used in the high security communication of national defence and commercial signal communication system.Common frequency expansion sequence has m The sequences such as sequence, gold sequence, they are produced by linear feedback by multi-stage shift register or other delay elements, have reason The autocorrelation performance thought, correlation function presents periodically, and cross-correlation function has larger spike.However, correlation properties are reasonable The quantity of pn code is extremely limited, and in jumbo communication system, these sequence quantity can not meet system capacity requirements, resists and cuts Obtaining property is also poor, is easily penetrated, confidentiality is not strong, such as "Xiao Wei, the chaos spread spectrum in cdma communication and wireless channel parameter are estimated Meter technical research [d], master thesis, Xi'an, Xi'an University of Technology, 2007" technology disclosed in paper.
Chaos system, as a kind of nonlinear dynamic system, has the pseudo-random characteristics of height, but itself is true again Qualitatively, and it has the sensitivity of height to original state, if the chaos sequence that chaos system is produced is as spread spectrum The frequency expansion sequence of communication, will greatly improve the anti-intercepting and capturing performance of spread spectrum communication, realize secret communication of good performance, Er Qieyou In the height pseudo-randomness of chaos sequence, chaos sequence never repeats.
Oneself has a lot of scholars, in research, chaos sequence is used as spreading code and is made with replacing in spread spectrum communication system at present Gold sequence, m-sequence etc., such as paper "zimmer.rodger e,peterson.roger l,broth.david e, introduction to spread spectrum communications[m],newyork,prentice-hall, 1995", and "s.shanmugam,h.leung,a novel m-ary chaotic spread spectrum communication scheme for dsrc system in its [c],los angeles,ieee vehicular Technology conference fall, sept 2004,803~807" disclosed in technology contents.
Paper "b.ghobad.h,m.clare.d,a chaotic direct-sequence spread-spectrum Communication system [j], ieee trans.communication 42,1524~1527" and "c.vladeanu, i.banica,s.e.assad,periodic chaotic spreading sequences with better correlation properties than conventional sequences-ber performances analysis [c],iasi,roamnia,international symposium on signals,circuits ans.systems,2: 2003" in the probability utilizing one-dimensional chaotic maps to produce the spreading code for direct sequence spread spectrum communication system is carried out Prove, and emulated by gold sequence, m-sequence and chaos sequence are applied to asynchronous communication system, analysis result Display chaos sequence has the incomparable advantage of conventional spread spectrum code for spread spectrum communication system, can effectively reduce the error code of system Rate.
However, traditional chaotic maps method is because mapping structure is relatively simply it is easy to be passed through Chaotic Synchronous etc. by malicious user Method obtains key parameter so as to security performance is threatened.
Content of the invention
In order to overcome the above-mentioned deficiencies of the prior art, the present invention is based on spread spectrum communication demand it is proposed that one kind is applied to code The chaotic maps method of point multiple spreading communication system, is a kind of to have higher attractor complexity, higher initial value sensitivity Chaotic maps method.
A further object of the present invention is to propose a kind of application of chaotic maps method, using this chaos sequence as spreading code, It is applied to visible light communication system, to realize the multiple access of user.
In order to solve above-mentioned technical problem, the technical scheme is that
A kind of chaotic maps method being applied to CDMA bandspread communication, icmic is mapped as modified model The input of logistic mapping, constructs a kind of new chaotic maps model l-i-oscm;Specifically every time icmic is mapped The input value that iterative value maps as modified model logistic, and the iterative value of modified model logistic mapping is as icmic The input value of mapping.
Preferably, defining chaotic maps model l-i-oscm is:
Wherein, f (x) is l-i-oscm mapping function, and x is sequential value, and a, b are constants, and n is iterationses, xnFor Nth iteration value, initial value x0∈ [- 1,0) and ∪ (0,1], xn+1Span be [- 1,0) ∪ (0,1], p is over-sampling Number of times.
A kind of application of chaotic maps method, produces chaos sequence using chaotic maps model l-i-oscm, by this chaos Sequence, as spreading code, is applied to visible light communication system, to realize the multiple access of user.
Compared with prior art, the invention has the benefit that
The present invention proposes to be applied to the chaotic maps method of CDMA bandspread communication system, is a kind of new chaotic mapping Method: l-i-oscm maps.This mapping scheme is based on modified model logistic mapping and icmic mapping method, devises one kind New chaotic maps mode, can improve chaos sequence attractor complexity, improve initial value sensitivity, improve probability density distribution multiple Miscellaneous degree, improves the safety of spread spectrum communication further.
Brief description
Fig. 1 maps attractor comparison diagram for l-i-oscm mapping with modified model logistic.
Fig. 2 maps initial value sensitivity comparison diagram for l-i-oscm mapping with modified model logistic.
Fig. 3 is l-i-oscm sequence of mapping scattergram.
Fig. 4 maps correlation properties figure for l-i-oscm.
Fig. 5 is l-i-oscm mapping and modified model logistic mapping probabilities distribution function comparison diagram.
Fig. 6 is the visible light communication CDMA flow chart based on chaos sequence.
Fig. 7 is the bit error rate com-parison and analysis figure that different chaos sequences do spreading code.
Specific embodiment
The present invention will be further described below in conjunction with the accompanying drawings, but embodiments of the present invention are not limited to this.
The focus of the present invention are the improvement of new chaotic sequence characteristic so as to be more suitable for spread spectrum communication system.
The present invention proposes icmic mapping as the input of modified model logistic mapping, constructs a kind of new chaos Projected forms.So design is equal to the input value that the iterative value mapping icmic every time maps as modified model logistic, And the input value that the iterative value of modified model logistic mapping maps as icmic.In addition, on the basis of construction mapping, Over-sampling process is carried out to each value, such as paper "h.zhang,j.guo,h.wang,and r.ding,oversampled chaotic mapbinary sequences:definition[c],performance and realization,ieee asiapacific conference on circuit And system.tianjin, 2000,618~621." in regard to mistake The description of Sampling techniques, each iterative value is brought into function and carries out over-sampling process, so, the value model of new mappings control parameter Enclose very wide, not only increase the parameter estimation difficulty of chaos system, and frequency expansion sequence can be improved by changing the value of parameter Generation quantity.
The definition of the l-i-oscm mapping of present invention design is:
Wherein, f (x) is l-i-oscm mapping function, and x is sequential value, and a, b are constants, and n is iterationses, xnFor Nth iteration value.Initial value x0∈ [- 1,0) and ∪ (0,1], xn+1Span be [- 1,0) ∪ (0,1], p is over-sampling Number of times.
By the performance of each basic feature of matlab simulation analysis l-i-oscm mapping, hereinafter, the ginseng of new mappings Number a value is 2, b value is 2.
(1) attractor
Track in phase space for the chaotic motion is commonly known as " attractor ", and it is the performance of a system stability. By paper "h.zhang,j.guo,h.wang,and r.ding,oversampled chaotic mapbinarysequences:definition[c],performanceand realization,ieee asiapacific Conference on circuit and system.tianjin, 2000,618~621." technical result announced can inhale The structure of introduction and complexity determine the dynamic characteristic of chaos system.
The l-i-oscm that Fig. 1 (a) is proposed by the present embodiment maps coexisting attractors, with modified model logistic chaotic maps Coexisting attractors (Fig. 1 (b)) contrast.Can be seen by Fig. 1, the l-i-oscm mapping that the present embodiment is proposed attracts minor structure more Complexity, phase-space distributions are more disperseed in a jumble, and between adjacent iterative value, difference is bigger, and no any regularity can be sayed, effectively reduce Decode the probability of sequence by means such as phase space backsteppings, be more suitable for safe communication system.
(2) initial value sensitivity
Initial value sensitivity is an important feature of chaotic maps, and it refers to give two difference very littles for chaos system Initial value, system system trajectory after seldom secondary (in Fig. 2 (a) analogous diagram be 4 times) iteration just occurs to separate, become two complete Different track entirely.
From Fig. 2 (a), set initial value and differ only by 10-7, l-i-oscm chaotic maps presented herein are through 4 times After iteration, track just there occurs and separates, and modified model logistic mapping (as Fig. 2 (b)) then just will send out through 22 iteration, track Estranged from.Illustrate that chaotic maps presented herein have extremely strong sensitivity to initial value, performance is better than modified model Logistic maps.This characteristic not only contributes to the more considerable chaos spread spectrum sequence of generation quantity, and more chaos is logical safely Letter provides reliable guarantee.
(3) ergodic
Ergodic is also called ergodic theorem, by choosing certain initial value, through successive ignition, the distribution of observation sequence value Situation can analyze the ergodic of chaos sequence.By paper "Xue Hua, Zhao Hengbin, a few class chaos system strange attractor emulation point Analysis [j]. Binzhou College's journal, 26 (6), 2010,66~70" technological achievement announced understands, ergodic is that chaos sequence is random The performance of property.The ergodic of chaos sequence is better, and randomness is better, and in chaotic communication, the probability being decrypted is less.As Fig. 3 Shown, taking initial value to be 0.3600,1500 iteration being carried out to mapping herein, as long as taking sufficiently large iterationses, the present embodiment Mapping can travel through all values in the range of [- 1,1], forms near uniform class random distribution.
(4) correlation analysiss
By paper "v.c.d.sundersingh and z.wu,frequency domain processing basedchaos communication for cognitive radio[m].department of electricalengineering,wright state university,2010." technical result announced understands chaos Correlation properties are to weigh a major criterion of chaos sequence quality, and chaos sequence has high autocorrelation and relatively low cross-correlation Property, this characteristic is that chaos sequence is applied to the important evidence of spread spectrum communication as frequency expansion sequence.The auto-correlation of chaos sequence and Cross-correlation function is defined as:
r a ( m ) = l i m n → ∞ 1 n σ i = 0 n - 1 ( x i - x &overbar; ) ( x i + m - x &overbar; ) - - - ( 2 )
r c ( m ) = l i m n → ∞ 1 n σ i = 0 n - 1 ( x 1 i - x &overbar; ) ( x 2 ( i + m ) - x &overbar; ) - - - ( 3 )
Wherein, x1iAnd x2iRepresent the different chaos sequence of initial value,Represent the average of chaos sequence.
Normalized autocorrelation and cross correlation figure that Fig. 4 maps for the present embodiment.As seen from the figure, the present embodiment mapping is produced Raw chaos sequence auto-correlation function is similar to unit impact response function, has good autocorrelation performance.Initial value is taken to differ 10-7Two two chaos sequences being worth to cross correlation functional value close to 0.
(5) probability-distribution function
Using method of least square, the approximation probability distribution function of chaotic maps can be found out.(Fig. 5 (a) is l-i- to Fig. 5 Oscm mapping probabilities distribution function, Fig. 5 (b) is modified model logistic mapping probabilities distribution function) show, probability-distribution function The amplitude of variation of curve l-i-oscm mapping be more than modified model logistic and map, that is, corresponding chaos sequence can provide more High security of system.
And then, chaos sequence is produced using institute's new chaotic mapping model l-i-oscm mapping method, by this chaos sequence As spreading code, it is applied to visible light communication system, wherein system block diagram is as shown in Figure 6.By means of chaos sequence good from Correlation properties, the multiple access of achievable user.
Employed in emulation experiment, parameter is as shown in the table:
Table 1 simulation parameter table
The present embodiment compares the system bit error rate using three kinds of different chaos sequences as spreading code, and chaos sequence divides It is not: modified model logistics mapping, icmic mapping and l-i-oscm mapping.
As can be seen from Figure 7: when signal to noise ratio is for 8db, vlc system (visible light communication system) adopts three kinds of differences Chaos sequence is respectively as follows: modified model logistics mapping 10 as the system bit error rate of spreading code-2.9, icmic mapping 10-2.8 And l-i-oscm mapping 10-3.6It is clear that the l-i-oscm mapping that the present embodiment proposes is reflected compared to modified model logistics Penetrate and can provide 2db gain for system with icmic mapping.Therefore, using chaos sequence produced by l-i-oscm mapping as expansion Frequency code, it is possible to provide preferably systematic function.
The present invention is based on spread spectrum communication demand it is proposed that a kind of chaotic maps being applied to CDMA bandspread communication system Method, is a kind of new chaotic mapping method: l-i-oscm mapping.This mapping scheme be based on modified model logistic mapping and Icmic mapping method, devises a kind of new chaotic maps mode, can improve chaos sequence attractor complexity, improves initial value Sensitivity, improves probability density distribution complexity, improves the safety of spread spectrum communication further.
Description describes current techniques background, analyzes traditional chaos sequence as the defect of spreading code, is discussed in detail The building method of new chaotic mapping, and from chaos sequence attractor, initial value sensitivity, ergodic, dependency and probability close The degree aspect comparative analysiss such as the function raising with respect to traditional chaotic maps performance for the l-i-oscm mapping, finally, using new Type chaotic maps model l-i-oscm mapping method produces chaos sequence, using this chaos sequence as spreading code, is applied to visible Optical communication system, analyzes the raising of new chaotic sequence pair systematic function.
The foregoing is only embodiments of the invention, be not limited to the present invention.The present invention can have various conjunctions Suitable change and change.All any modification, equivalent substitution and improvement made within the spirit and principles in the present invention etc., all should It is included within protection scope of the present invention.

Claims (3)

1. a kind of chaotic maps method being applied to CDMA bandspread communication is it is characterised in that map icmic as improvement The input of type logistic mapping, constructs a kind of new chaotic maps model l-i-oscm;Specifically every time icmic is mapped The input value that maps as modified model logistic of iterative value, and the iterative value conduct of modified model logistic mapping The input value of icmic mapping.
2. the chaotic maps method according to claim is it is characterised in that definition chaotic maps model l-i-oscm is:
Wherein, f (x) is l-i-oscm mapping function, and x is sequential value, and a, b are constants, and n is iterationses, xnFor n-th Iteration value, initial value x0∈ [- 1,0) and ∪ (0,1], xn+1Span be [- 1,0) ∪ (0,1], p is over-sampling number of times.
3. the application of a kind of chaotic maps method described in claim 1 or 2 is it is characterised in that adopt chaotic maps model l- I-oscm produces chaos sequence, using this chaos sequence as spreading code, is applied to visible light communication system, to realize the many of user Location accesses.
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CN110190944A (en) * 2019-04-30 2019-08-30 沈阳理工大学 Model is generated based on the compound chaos spread spectrum sequence of the more mappings of dynamic

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