CN201830201U - Broadband chaotic signal oscillator - Google Patents

Broadband chaotic signal oscillator Download PDF

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Publication number
CN201830201U
CN201830201U CN2010205778401U CN201020577840U CN201830201U CN 201830201 U CN201830201 U CN 201830201U CN 2010205778401 U CN2010205778401 U CN 2010205778401U CN 201020577840 U CN201020577840 U CN 201020577840U CN 201830201 U CN201830201 U CN 201830201U
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signal
chaotic
circuit
chaos
output
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包伯成
胡文
李春彪
罗印升
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Jiangsu University of Technology
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Jiangsu University of Technology
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Abstract

The utility model relates to a broadband chaotic signal oscillator comprising a simulating system and a digital system for generating chaotic signals and driving the simulating system, wherein the simulating system comprises a multiple-harmonic oscillator and a filter network for controlling the spectral range of the chaotic signals output by the multiple-harmonic oscillator. The system realized by mixing digit and simulation on the basis of a Colpitts circuit has the following characteristics: 1) higher-frequency broadband chaotic signals are generated; 2) the chaotic characteristic of the output signal has robustness to the change of circuit parameters; 3) the spectral range is controllable, and the output signal has band-pass spectrum approximate to be rectangular; 4) the spectrum of the output signals is flatter than that of output signals of the chaotic system realized only by single simulation; and 5) the output chaotic signals are renewable, i.e., nearly the same output signals can be generated by the same system when the generated system information is completely known.

Description

A kind of broadband chaotic signal oscillator
Technical field
The utility model relates to the technical field that chaotic signal produces system, specifically is a kind of broadband chaotic signal oscillator.
Background technology
Chaotic signal is the nonperiodic signal by the similar random noise of certainty dynamical system generation.Because very the simple nonlinear dynamical system just can produce complicated dynamic behavior, and may obtain meeting the signal of application-specific demand by the change to dynamical system, therefore chaos system is applied to produce broadband signal has caused numerous attentions.At present common chaotic signal produces system, and the mode according to the system of realization can be divided into analogue system and digital system.
The advantage of the chaos signal source that analog circuit is realized is and can directly produces the satisfactory signal of frequency spectrum by simple circuit, but system works when high frequency, the characteristic of the nonlinear function item in the system equation often is difficult to accurate the realization.Simulation chaos system implementation is numerous, but from the concrete application communication and radar, cai's circuit, RC circuit and be subjected to paying attention to widely based on a class circuit of Colpitts circuit.
Introduce representational chaos signal source implementation below based on the Colpitts circuit.
The Colpitts circuit is a kind of oscillator that is usually used in producing sinusoidal signal, is widely used in various electronic systems.Based on the chaos signal source of Colpitts circuit, it is made up of Colpitts circuit and frequency-selective network cascade, and the spectral shape of its output signal is determined by frequency-selective network.The advantage of this circuit maximum is and can guarantees the chaotic characteristic of entire circuit simultaneously again by changing the spectral shape of frequency-selective network control output signal.We can be obtained the chaotic signal of any band-limited frequency spectrum shape by sort circuit in theory, and the system of said structure has produced the logical chaotic signal of band of 900-1000 MHz, can be used as the signal source of broadband chaos signal radar.But in order to obtain frequency spectrum preferably, frequency-selective network needs more element, and the complexity that this has improved entire circuit makes that circuit is not easy to repeat realize, the signal of its generation also is not easy to regeneration, has brought certain difficulty for the subsequent treatment of radar signal.
Chaotic maps can directly be realized by the analog circuit of clock signal control in theory, but all is subjected to the restriction of prior art on precision and speed.Though the limited precision of digital system (word length effect) is understood the characteristic that influence signal, facts have proved that under certain precision digital technology can realize the discrete chaotic system of needs approx.The discrete chaotic signal that digital form produces has periodically, but stable performance is easy to control.Discrete chaotic signal generally need obtain the signal that frequency spectrum satisfies the demands through ovennodulation or by filter in application.Digital technology can be similar to easily and realize chaos system, and the chaos sequence of generation is regeneration easily also, but because the restriction of existing digital technology, the highest frequency of the chaotic signal that produces has been subjected to influence.
As mentioned above, chaos signal source realizes that by analog form or digital form two kinds of implementations respectively have its pluses and minuses usually.Intuitively, the chaos system that simulation realizes will have very simple circuit configuration, be highly susceptible to realizing.But in general, the simulation of chaos signal source realizes facing a following difficult problem:
1, nonlinear device is difficult to accurate realization under the high frequency;
2, simple R C chaotic oscillator is difficult to produce the high-frequency wideband signal;
3, the output signal performance is generally to the circuit parameter variations sensitivity;
4, the shape of the probability density function of chaotic signal and power spectrum function is wayward;
5, influenced by chaos system initial value sensitiveness and be difficult to the reconstruct output signal.
The Digital Implementation mode can avoid simulating most of problem of implementation, and stable performance is easy to control, yet the defective of self is also arranged.At first the chaotic signal highest frequency of digital system output is subjected to the restriction frequently of system's clock.Secondly, the system of Digital Implementation is approximate to discrete chaotic system, because the finite word length effect output sequence must have periodically.In addition, the output signal in the chaos source of Digital Implementation generally can not directly be used, and will be through becoming satisfactory signal after some modulation.
In broadband connections and broadband signal radar application, it is the high-frequency wideband signal with the logical spectrum of rectangular band that general requirement transmits.Postpone and the communicating by letter and radar system of operation such as relevant for needs, it is an important advantage that signal is easy to postpone or is easy to reconstruct.Under ECM environment, the signal of complex form has more advantages.In addition, the stability that changes of the parameter that causes with environment of system output signal also is an important index.Existing independent simulation realizes that chaos source side case and Digital Implementation chaos source side case all are difficult to satisfy fully the demand in using.
Summary of the invention
The technical problems to be solved in the utility model provides a kind of in the broadband chaotic signal that directly output meets the demands, and can take into account the broadband chaotic signal oscillator of the recyclability of signal.
For solving the problems of the technologies described above, the broadband chaotic signal oscillator that the utility model provides comprises: analogue system and the digital system that is used to produce the chaos pulse signal and drives described analogue system; Described analogue system comprises: multiple-harmonic oscillator and being used to is controlled the filter network of spectral range of the chaotic signal of multiple-harmonic oscillator output.
The technique effect that the utlity model has: (1) broadband of the present utility model chaotic signal oscillator, the system that realizes based on the digital analog mixed of Colpitts circuit is to solve that independent simulation realizes or some shortcomings in the Digital Implementation scheme separately.1), produce the broadband chaotic signal of upper frequency make new chaos signal source have following characteristics:; 2), the chaos characteristic of output signal has robustness to the variation of circuit parameter; 3), controlled spectral range, output signal has the logical spectrum of approximate rectangular band; 4), output signal spectrum is realized the more smooth of chaos system output signal than simulating separately; 5), the chaotic signal of output has recyclability, promptly system information is complete can to produce almost same output signal by identical system when known producing.(2) the chaos source that the digital chaos pulse train that the utility model proposes drives the simulative generator realization is that analogue technique realizes that chaos signal source and digital technology realize the combination of chaos signal source; It also can take into account the recyclability of signal in the broadband chaotic signal that directly output meets the demands.The analogue system that is driven by digital signal has more smooth frequency spectrum and the better autocorrelation performance of realizing than simple analogue technique of identical systems.The recyclability of signal makes the time delay operation of high-frequency wideband chaotic signal to realize by the digital signal of the less bandwidth of time delay lower frequency, thereby has made things convenient for follow-up signal processing.Utilization is verified based on the system of Colpitts circuit, the advantage of digital chaos pulse train driving simulative generator realization system that numerical simulation and circuit have been tested certificate of compliance.Broadband of the present utility model chaotic signal oscillator has been taken into account the frequency spectrum controllability of signal and the recyclability of signal, will help improving the performance of chaotic signal in communication and radar application, reduces the difficulty of chaotic Signals Processing.
Description of drawings
For the easier quilt of content of the present utility model is clearly understood, below the specific embodiment and in conjunction with the accompanying drawings of basis, the utility model is described in further detail, wherein
Fig. 1 (a) is the structure principle chart of the Colpitts circuit among the embodiment.
Fig. 1 (b) is the common base configuration triode illustraton of model of the Colpitts circuit among the embodiment.
Fig. 2 (a) is the time diagram of first state variable of Colpitts oscillator of the chaos pulsed drive among the embodiment.
Fig. 2 (b) is the spectrogram of first state variable of Colpitts oscillator of the chaos pulsed drive among the embodiment.
Fig. 3 is the structured flowchart of the broadband chaotic signal oscillator of being realized by digital chaos pulse train driving simulative generator among the embodiment.
Fig. 4 is the circuit theory diagrams of the analogue system among Fig. 3.
Embodiment
Below in conjunction with drawings and Examples the utility model is elaborated:
As Fig. 3, the broadband chaotic signal oscillator of present embodiment comprises: analogue system and the digital system that is used to produce the chaos pulse signal and drives described analogue system.
Described analogue system comprises: multiple-harmonic oscillator and being used to is controlled the filter network of spectral range of the chaotic signal of multiple-harmonic oscillator output.
Digital system is by realizations such as FPGA or DSP.
The multiple-harmonic oscillator is a cai's circuit, RC circuit or Colpitts circuit.Be example with the Colpitts circuit below.
The Colpitts circuit is the known pierce circuits of people.As typical capacitance three-point type feedback oscillation circuit, the Colpitts circuit is widely used in the signal source from extremely low frequency to the millimeter wave frequency band very much.In the application of traditional C olpitts circuit, people pay close attention to its simple harmonic oscillation characteristic, and suppress other nonlinear effect as possible, export in the hope of acquisition high-quality, pure and stable sinusoidal signal.Up to 1994, M.P.Kennedy found first that just the Colpitts circuit can be operated in the chaotic oscillation state, and had good high-frequency work potentiality.As a kind of simple single-tube circuit, the Colpitts circuit is its nonlinear source in triode self than the advantage of other piecewise nonlinear circuit maximums such as cai's circuit, thereby the frequency range that can work is higher than the NONLINEAR NEGATIVE RESISTANCE that realizes with operational amplifier in traditional cai's circuit far away.In addition, the Colpitts circuit also has low in energy consumption, circuit structure and simply is easy to advantages such as realization.Therefore, the Colpitts circuit is the most promising scheme that realizes the microwave chaos at this stage.The chaos of Colpitts oscillator and synchronous under this section is mainly studied and driven.
The basic structure of Colpitts circuit is shown in Fig. 4 (a), and wherein triode is as the booster element of oscillator, inductance LAnd electric capacity C 1, C 2Constitute a resonant network.Triode is three port nonlinear devices, adopts equivalent-circuit model shown in Fig. 4 (b), and base current is ignored, and equivalence is a voltage-controlled nonlinear resistor between base stage and the emitter R T , equivalence is a Flow Control current source between collector electrode and the base stage I 0 Voltage-controlled nonlinear resistor R T The drive point characteristic write as:
Figure 487539DEST_PATH_IMAGE001
(1)
Wherein I s Be reverse saturation current, V T Be about 26mV under the room temperature condition.
With the electric current on the inductance in the Colpitts circuit I L , electric capacity C 1 , C 2 On voltage V C1 , V C2 As state variable, the state equation of circuit is:
Figure 945065DEST_PATH_IMAGE002
(2)
Introduce one group of normalization state variable ( x 1, x 2, x 3), the transform definition from the circuit state space to the normalization state space is:
Figure DEST_PATH_IMAGE002
Wherein
Figure DEST_PATH_IMAGE004
Basic angular frequency for the Colpitts circuit.
Can derive the normalization state equation of Colpitts circuit from formula (2) and (3):
Figure DEST_PATH_IMAGE006
Wherein,
Figure DEST_PATH_IMAGE008
, parameter g, Q, k are defined as follows:
Figure DEST_PATH_IMAGE010
In the dynamic system that normalization state equation (9) is characterized, dynamics and the parameter of state variable in state space g, QIt is relevant, kCan only cause the variation on the state variable yardstick, and can not cause the variation of system's state of living in (stable, limit cycle, chaos etc.).Suitable by selecting g, QValue, the oscillatory regime that system (5) is in need (stable, limit cycle, chaos etc.).
In basic Colpitts circuit, add one and drive item
Figure 911250DEST_PATH_IMAGE005
, its normalization equation is:
Figure 172467DEST_PATH_IMAGE006
(9)
In the dynamic system that normalization state equation (9) is characterized, dynamics and the parameter of state variable in state space g, Q, kWith system's external drive item
Figure 841345DEST_PATH_IMAGE005
Relevant; Specific g, QValue is regulated the external drive item down , make the corresponding system of above-mentioned expression formula (9) be in the chaotic oscillation state.
Therefore, the Colpitts circuit under the chaos pulsed drive can produce chaos.The time waveform and the frequency spectrum of first variable of Colpitts oscillator under driving are seen Fig. 6, though its continuous frequency spectrum has the feature of chaotic signal frequency spectrum, shape is unfavorable for control and uses.Present embodiment designs on the basis of the Colpitts of chaos pulsed drive circuit based on the controlled broadband chaos signal generator of the spectral range of Colpitts.
The chaos signal source that the digital chaos pulse train driving simulative generator of present embodiment is realized is made of digital system and analogue system two parts as shown in Figure 7.Digital system produces the chaos pulse signal and drives analogue system, and the simulation part is divided into multiple-harmonic oscillator and filter network two parts again, the spectral range of filter network control output signal wherein, and the bandwidth of regulating filter network can obtain the broadband signal that needs.Simultaneously, according to the generalized synchronization theory, the digital drive of increase has improved the recyclability of signal.The spectral shape of the filter network control chaotic signal of simulation part is with the non-linear active filter of the common composition of multiple-harmonic oscillator.The chaos signal source of Fig. 7 structure has been taken into account the frequency spectrum controllability of signal and the recyclability of signal, will help improving the performance of chaotic signal in communication and radar application, reduces the difficulty of chaotic Signals Processing.
Digital chaos pulse train drives simulative generator realization system and can be described by following equation group:
Figure 651356DEST_PATH_IMAGE007
(11)
Wherein
Figure 388367DEST_PATH_IMAGE008
Be the Bernoulli chaos pulse that digital form produces, can be expressed as:
The digital system clock frequency
Figure DEST_PATH_IMAGE014
,
Figure DEST_PATH_IMAGE016
Be stiffness of coupling, typical
Figure DEST_PATH_IMAGE018
, we establish other parameter
Figure DEST_PATH_IMAGE020
,
Figure DEST_PATH_IMAGE022
,
Figure DEST_PATH_IMAGE024
,
Figure DEST_PATH_IMAGE026
,
Figure DEST_PATH_IMAGE028
,
Figure DEST_PATH_IMAGE030
,
Figure DEST_PATH_IMAGE032
,
Figure DEST_PATH_IMAGE034
Canonical parameter value for system (11).The triode model that uses is:
Figure DEST_PATH_IMAGE036
Wherein Be emitter p-n junction reverse coupled resistance,
Figure DEST_PATH_IMAGE040
Be the triode current gain.The voltage of capacitor in the afterbody filter
Figure DEST_PATH_IMAGE042
As output signal.
Because the spectral range of output signal is subjected to the control of FL-network substantially, the filter network under above-mentioned parameter among Fig. 8 is the band pass filter between 30-180MHz, therefore may produce the 150MHz broadband signal.Compare the coupling terms that has more in second equation of system (11) with the system that does not have driving
Figure DEST_PATH_IMAGE044
Play two effects in system: the system that the nothing of rectilinear oscillation originally or weak chaos state is driven by driving produces chaos on the one hand, and the frequency spectrum of system (11) output signal will be more smooth than the frequency spectrum that does not have the system output signal that drives like this; On the other hand might be by the chaotic signal S (t) of the generalized synchronization chaotic signal of final output the is placed one's entire reliance upon lower frequency that digital system produces.Above-mentioned first autocorrelation performance that improves signal, second regeneration that makes chaotic signal and time delay be easy to realize, these 2 for chaotic signal the application in communication system and radar system has great significance.
Obviously, the foregoing description only is for the utility model example clearly is described, and is not to be qualification to execution mode of the present utility model.For those of ordinary skill in the field, can also make other changes in different forms on the basis of the above description.Here need not also can't give exhaustive to all execution modes.And these belong to conspicuous variation or the change that spirit of the present utility model extended out and still are among the protection range of the present utility model.

Claims (1)

1. a broadband chaotic signal oscillator is characterized in that comprising: analogue system and the digital system that is used to produce the chaos pulse signal and drives described analogue system;
Described analogue system comprises: multiple-harmonic oscillator and being used to is controlled the filter network of spectral range of the chaotic signal of multiple-harmonic oscillator output.
CN2010205778401U 2010-10-27 2010-10-27 Broadband chaotic signal oscillator Expired - Fee Related CN201830201U (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102386560A (en) * 2011-07-07 2012-03-21 电子科技大学 Broad-band optical chaotic signal source chip structure based on ring laser
CN112698278A (en) * 2020-09-24 2021-04-23 南京晓庄学院 Chaotic broadband signal jammer and interference decision method

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102386560A (en) * 2011-07-07 2012-03-21 电子科技大学 Broad-band optical chaotic signal source chip structure based on ring laser
CN102386560B (en) * 2011-07-07 2013-04-03 电子科技大学 Broad-band optical chaotic signal source chip structure based on ring laser
CN112698278A (en) * 2020-09-24 2021-04-23 南京晓庄学院 Chaotic broadband signal jammer and interference decision method

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