Abstract:
A field of the spread spectrum transmission of information is performed by chaotic signals. A technical effect consisting in providing direct chaotic communication systems in which the information is input to the chaotic signal generated directly in the information transmission frequency band, is achieved by means of that the step of forming the broadband information carrier necessary for the transmission is carried out using a chaotic dynamic system which structure is synthesized in advance in accordance with predetermined characteristics of said broadband information carrier so as to cause said chaotic dynamic system to provide the operation of forming the broadband information carrier in the form of a chaotic information carrier having prescribed spectral characteristics, the step of modulating the chaotic information carrier is carried out by forming chaotic radio or optic chaotic pulses from said chaotic information carrier, with predetermined time intervals between said pulses in accordance with the transmitted information signal, and the step of reception and demodulation at the receiving side is carried out using a dynamic system matched, in its behavior, with the chaotic dynamic system of the transmitting side.

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS  
       [0001]     This application claims the benefit of Russian Patent Application No. 2003134263 filed Nov. 24, 2003, in the Russian Patent Office, the disclosure of which is incorporated herein by reference.  
       BACKGROUND OF THE INVENTION  
       [0002]     1. Field of the Invention  
         [0003]     The present invention relates to a field of the chaotic signal-aided spread-spectrum communications.  
         [0004]     2. Description of the Related Art  
         [0005]     At present, it is known that chaotic signals generated by non-linear deterministic dynamic systems, the so-called dynamic chaos, possess a number of properties that make such signals suitable for transmission of information. In particular, the promising nature of chaotic signals as carrier or modulating oscillations is shown (A. S. DMITRIEV, A. I. PANAS, S. O. STARKOV. Dynamic chaos as a paradigm for modern telecommunication systems//Uspekhi Sovremennoy Radielektroniki, 1997, #10, p. 4,; M. HASLER. Achievements in the field of information transmission with the use of chaos//Uspekhi Sovremennoy Radielektroniki, 1998, #11, p. 33). Certain information transmission circuits using the dynamic chaos are proposed, in particular, a circuit of information signal chaotic masking (L. KOCAREV, K. S. HALLE, K. ECKERT, L. CHUA, U. PARLITZ. Experimental demonstration of secure communications via chaotic synchronization//Int. J. Bifurcation and Chaos, 1992, v. 2, # 3, p. 709), a circuit with chaotic modes switching [H. DEDIEU, M, KENNEDY, M. HASLER. Chaos shift keying: Modulation and demodulation of a chaotic carrier using self-synchronizing Chua&#39;s circuits//IEEE Trans. Circuits and Systems, October 1993, v. CAS-40, # 10, p. 634], circuits with non-linear mixture of information signal to chaotic signal (A. R. VOLKOVSKI, N. V. RULKOV. Synchronous chaotic response of non-linear system used to transmit information with a chaotic carrier//Letters to Zhurn. Techn. Fiz., 1993, v. 19, # 3, p. 71; A. DMITRIEV, A. PANAS, S. STARKOV. Experiments on speech and music signals transmission using chaos//Int. Journal of Bifurcation and Chaos, 1995, v. 5, p. 371) etc. Under consideration are possibilities of generating direct chaotic communication systems with chaotic oscillations serving as an information carrier generated within the frequency band where transmission of information takes place, for example, in microwaves (A. S. DMITRIEV, B. E. KYARGINSKI, N. A. MAKSIMOV, A. I. PANAS, S. O. STARKOV. Prospects of creating direct chaotic communication systems in RF and microwave bands//Radiotekhnika, 2000, # 3, p. 9).  
         [0006]     There are two varieties of methods for spread-spectrum communications. The first uses a narrow-band periodic carrier of information, e.g., code-division multiple-access system (CDMA), as well as the systems with frequency modulation, where the frequency band of the transmitted information is essentially narrower than the frequency band of the carrier signal. The other variety of the methods for spread-spectrum communications uses a principally wide-band carrier, whose frequency band is wider than the frequency band of the transmitted information (U.S. Pat. No. 16097, H04K1/00, Mar. 18, 1960). Frequency-hopping spread-spectrum systems should also be referred to this variety (J. PROAKIS. Digital Communication, McGraw-Hill, Inc., New-York, 1995, p. 741).  
         [0007]     The closest to the method described in the present invention is the frequency-hopping spread-spectrum communication method. Under this method, the transmitting side generates a wide-band information carrier within a preset information transmission frequency band; the carrier is modulated by means of information signal; the modulated signal is transmitted via a communication channel from the transmitting side to the receiving side that demodulates the received information carrier to retrieve the information signal (see the above mentioned monograph of J. PROAKIS).  
         [0008]     As distinct from this, in the present invention a wide-band information carrier is generated with the help of a chaotic dynamic system that generates chaotic signals directly within the entire frequency band of information transmission (e.g., within a microwave band). In order to use the above signals as a wide-band carrier, it is necessary to solve the problem of generating chaotic oscillations within the required frequency band of electromagnetic spectrum, as well as to elaborate effective methods for information input into the chaotic signal on the transmitting side and for extracting it out of the said signal on the receiving side. By present, only directions of developing the systems based on such a principle have been outlined, yet not their particular microwave implementations (see the above mentioned article by A. S. DMITRIEV in Radiotekhnika Magazine).  
       SUMMARY OF THE INVENTION  
       [0009]     Hence, the task of the present invention is the development of a method for information transmission with the use of chaotic signals, a technical result of which consists in implementation of communication systems that input information into the chaotic signal generated directly within the communicaiton band, that are hereinforth referred to as direct chaotic communication systems.  
         [0010]     The above task aimed at the aforementioned technical result is solved by a method for transmitting information with the help of chaotic signals that consists in the following: on the transmitting side a wide-band information carrier is generated within a preset band of information transmission frequencies, the said information carrier is modulated by means of an information signal, the modulated information carrier is transmitted via a communication channel from the transmitting side to the receiving side, and the latter demodulates the received information carrier to retrieve the information signal. According to the present invention, the aforementioned generation of the wide-band information carrier takes place with the help of a chaotic dynamic system, the structure of which is synthesized beforehand according to preset characteristics of the aforementioned wide-band information carrier. Said chaotic dynamic system is synthesized with identification of regions of its parameters providing similar behavior of the said chaotic dynamic system. On the basis of said identified parameter regions, selected for said chaotic dynamic system are values of parameters providing the aforementioned wide-band information carrier as a chaotic carrier of information with at least required spectrum characteristics. Said modulation is performed by means of forming, according to the information signal, of chaotic RF or optical pulses of preset duration with preset time intervals between these pulses, which is followed by transmission of the modulated information carrier via communication channel. The aforementioned reception and demodulation on the receiving side is performed with a dynamic system matched in terms of its behavior with said chaotic dynamic system of the transmitting side.  
         [0011]     A feature of said method is that as the chaotic dynamic system, a dynamic oscillating system is used with at least one active element and an additional frequency-selective structure for forming a wide-band information carrier.  
         [0012]     To do this, the dynamic oscillating system is supplemented with regulating elements for selecting wide-band information carrier generation mode and/or for forming RF or optical pulses and intervals between them, or RF or optical pulses and intervals between them are formed in a supplementary feedback circuit on the transmitting side.  
         [0013]     Another feature of said method is that forming chaotic RF or optical pulses having a preset duration and time intervals between them is performed by means of controlling the chaotic dynamic system behavior.  
         [0014]     The chaotic dynamic system behavior is controlled by means of controlling its parameters variation or by controlling the trajectory of a depicting point in the phase space of this chaotic dynamic system.  
         [0015]     Controlling the trajectory is accomplished either by changing the initial conditions of said chaotic dynamic system or by means of holding the trajectory of the depicting point in the phase space of said chaotic dynamic system within a preset area of said phase space during a preset period of time.  
         [0016]     Another feature of this method consists in the fact that the duration of chaotic radio or optical pulses and/or of the intervals between them is formed with the help of chaotic samples generated by a supplementary chaotic dynamic system and the input information subject to be transmitted.  
         [0017]     Another feature of this method consists in the fact that reception and demodulation on the receiving side may be performed with the help of a chaotic dynamic system, whose behavior is at least partially synchronized with the chaotic signal of said chaotic dynamic system on the transmitting side.  
         [0018]     Eventually, another feature of this method is that both reception and demodulation on the receiving side may be performed with the help of a dynamic system, whose output signal is matched with the signal envelope of the chaotic dynamic system on the receiving side.  
         [0019]     The existing state of the art lacks sources of information to describe the totality of distinctive features of this method, which allows to consider it novel.  
         [0020]     The existing state of the art lacks sources of information to describe the totality of distinctive features of this method, which allows to consider it having inventive level. 
     
    
     BRIEF DESCRIPTION OF THE DRAWINGS  
       [0021]     The above aspects and features of the present invention will be more apparent by describing certain embodiments of the present invention with reference to the accompanying drawings, in which:  
         [0022]      FIG. 1  shows a circuit of chaotic signal generator using a tunnel diode;  
         [0023]      FIG. 2  shows a circuit of chaotic signal generator in the form of Chua circuit;  
         [0024]      FIG. 3  shows a circuit of ring-structure chaotic signal generator with one and a half degrees of freedom;  
         [0025]      FIGS. 4A and 4B  show a general block diagram of information transmission system to implement the method under the present invention and signal profiles in various nodes of the circuit, respectively;  
         [0026]      FIG. 5  shows the shape of a chaotic radio- or optical pulse;  
         [0027]      FIG. 6  shows the shape of chaotic pulses as they are formed judging from the information binary signal;  
         [0028]      FIGS. 7A and 7B  show formation of chaotic radio- and optical pulse stream with the use of a supplementary chaotic dynamic system, respectively;  
         [0029]      FIGS. 8A through 8C  show the appearance and the layout of a potential dynamic oscillating system for implementing the method under the present invention, respectively;  
         [0030]      FIG. 9  shows a typical power spectrum of chaotic signals generated by the chaotic oscillating system in  FIG. 8 ;  
         [0031]      FIGS. 10A and 10B  show a potential circuit for noncoherent reception according to the present invention and the signal profiles in various nodes of the circuit, respectively;  
         [0032]      FIG. 11  shows a potential circuit for reception with chaotic dynamic system synchronization for the method under the present invention; and  
         [0033]      FIGS. 12A and 12B  show oscillograms of chaotic radio pulses in a communication channel and their envelope retrieved on the reception side, respectively. 
     
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS  
       [0034]     Certain embodiments of the present invention will be described in greater detail with reference to the accompanying drawings.  
         [0035]     In the following description, same drawing reference numerals are used for the same elements even in different drawings. The matters defined in the description such as a detailed construction and elements are nothing but the ones provided to assist in a comprehensive understanding of the invention. Thus, it is apparent that the present invention can be carried out without those defined matters. Also, well-known functions or constructions are not described in detail since they would obscure the invention in unnecessary detail.  
         [0036]     Prior to describing potential accomplishments of the present invention, let us consider the features of the underlying dynamic (or deterministic) chaos.  
         [0037]     The term ‘deterministic chaos’ refers to a complicated non-periodic motion produced by non-linear dynamic systems. This motion can occur in the complete absence of external noise and is fully determined by the properties of the deterministic dynamic system itself. Dynamic chaos possesses many features of random processes i.e. continuous power spectrum, exponentially decreasing autocorrelation function, unpredictability for long periods of time.  
         [0038]     The behavior of dynamic systems is described with the use of term ‘phase space’ that depicts a system state as a point, and time evolution of the state as a phase trajectory along which the representative point moves. The systems with deterministic chaos have in their phase space an attracting manifold where the phase trajectories gather into a single channel. This attracting manifold is referred to as a strange attractor.  
         [0039]     By present, a great number of dynamic systems capable of generating chaotic signals has been offered and investigated. The simplest dynamic system capable of generating chaos is a discrete-time dynamic system, i.e., the so called logistic map 
 
 x ( k+ 1)=μ x ( k )(1− x ( k ))  (1) 
 
         [0040]     In a certain range of values of A equation (1) generates a non-periodic infinite sequence of samples x(k).  
         [0041]     The simplest continuous-time chaotic systems are described by merely three ordinary differential equations and at least a part of them represents generators made by supplementing one or several elements to standard generators of regular oscillations. Other sources of chaos could not be as simply linked with traditional electronic generators, however they can also be accomplished with contemporary components. Typical examples of chaos sources with one and a half degrees of freedom are the following systems:  
         [0042]     Tunnel diode generator (A. S. PIKOVSKI, M. I. RABINOVICH. A simple oscillator with stochastic behavior//DAN SSSR,  1978 , v. 239, # 1-2, p. 301). The generator equations in dimensionless form are as follows: 
 
 x′=y−δz  
 
 y′=−x+ 2 γy+αz+β′   (2) 
 
μ z′=x−f ( z ) 
        where f(z) stands for non-linear response of the tunnel diode; α, β, γ, and δ stand for parameters. The generator circuit is shown in  FIG. 1 .        
 
         [0044]     Chua circuit (T. Matzumoto. A chaotic attractor from Chua circuit//EEEE Trans. Circuits and Syst. 1984, v. CAS-31, # 12, p. 1055). Electric layout of the circuit is shown in  FIG. 2 . The dimensionless equations describing the circuit are as follows: 
 
 x ′=α( y−x−h ( x )) 
 
 y′=x−y+z,   (3) 
 
 z′=−βy−yz  
        where α, β and γ are parameters. The non-linear element response of system (3) is assumed to be piecewise-linear.  
               h   ⁡     (   x   )       =       m   1     +     0.5   ⁢     (       m   o     -     m   1       )     ⁢       {            x   +   1          -          x   -   1            }     .                 (   4   )             
       
 
         [0046]     In equation (4), m o  and m 1  stand for the slopes of the normalized piecewise-linear function.  
         [0047]     Ring-structure oscillator (A. S. DMITRIEV, V. Ya. KISLOV. Stochastic oscillations in oscillator with inertial first-order time delay//Radiotekhnika i Elektronika, 1984, v. 29, # 12, p. 2389). The oscillator model dimensionless equations are: 
 
 Tx′=−x+Mf ( z ) 
 
 y′=x−z   (5) 
 
 z′=−y−αz  
        where T, M and α stand for parameters, and f(z) is a non-linear element response.        
 
         [0049]     Block diagram of such an oscillator is shown in  FIG. 3 , where NE denotes the non-linear element, and F 1 and F   2  denote low-pass filters of the first and second order, respectively.  
         [0050]     Trajectories of chaotic systems are very sensitive to initial conditions. At the same time, oscillation modes of chaotic sources demonstrate variety of behavior with changes of the system parameters. If the number of essential system parameters increases, this normally results in a growing variety of dynamic modes. Chua system is a typical example. Variety of chaotic modes may also increase with increasing dimension of the dynamic system.  
         [0051]     A large number of various oscillation modes with various spectral characteristics within the same system means that the modes change with a small change of the system parameters. This feature allows one to control chaotic systems at the power levels much lower than the power of a chaotic signal itself, which no doubt is useful for sufficiently powerful chaotic sources. The same feature under equal other conditions can provide a higher rate of chaotic oscillation modulation in comparison to modulation rate in classic systems. In general, due to the possibility of controlling chaotic modes by means of minor changes in the system parameters, one may expect an improved power efficiency of communication systems with chaos in comparison to traditional systems.  
         [0052]     By their nature, the chaotic signals possess continuous spectrum that spreads over a wide frequency band. Conventional modulation methods are capable, in principle, to provide the transmitted signal bandwidth of up to 10-20% relative to the carrier frequency. However, this is obtained by means of rather complicated engineering solutions. As to chaotic signals, they are wideband by nature. Potentially, this enables one to modulate a chaotic carrier with a wideband information signal retaining the spectral properties of the chaotic carrier practically intact. Thus, this gives a possibility to rather simply implement not only wideband but also super wide-band communication systems.  
         [0053]     Communications using chaotic signals with the method under the present invention may be implemented with the help of a communication system, whose block diagram is shown in  FIG. 4   a . According to this system, information signal  1  of transmitting side is fed to generator of chaotic RF or optical pulses  2  that in this particular case is a modulator of a wide-band carrier of information generated by chaotic dynamic system  3 . The modulated signal is sent via communication channel  4  to receiving side to be processed by dynamic system  5 , which results in retrieval of information signal  6 .  FIG. 4   b  shows the signal waveforms in various points of the circuit in  FIG. 4   a.    
         [0054]     With the method under the present invention information is transmitted by means of signals in the form of chaotic RF pulses or chaotic optical pulses. In this description, a chaotic radio pulse refers to a pulse with chaotic filling, whose spectrum is in the area of radio or microwave frequencies, while a chaotic optical pulse refers to a pulse with chaotic filling, whose spectrum is at least in a part of frequency region occupied by infrared radiation, visible light and ultraviolet radiation. In this case, The term ‘chaotic’ is referred to a RF or optical pulse, whose duration is above the characteristic period of chaotic signal oscillations. Information transmitted by means of sequences of such pulses may be encoded with the pulse location in time domain, with the duration of the pulses, the distance between the pulses, etc.  
         [0055]     Chaotic communications method under the present invention is based on three main ideas that make it practical: 1) chaotic source generates chaotic oscillations directly within a preset band of RF, microwave, infrared, optical, or ultraviolet band; 2) information signal is put in the chaotic signal by means of forming a corresponding sequence of chaotic RF or optical pulses; 3) information is retrieved with the use of a dynamic system matched in terms of its behavior with the chaotic system of the transmitting side.  
         [0056]     As was stated above, chaotic RF or optical pulse is a fragment of a chaotic signal, the duration of which is above its characteristic period. The frequency bandwidth of the chaotic RF or optical pulse is determined by the frequency bandwidth of the original chaotic signal generated by chaotic source, and in a wide range is independent of the pulse duration ( FIG. 5 ). This makes a chaotic radio or optical pulse essentially different from classic radio pulse filled with a fragment of a periodic carrier, whose frequency band Δf is determined by its length T: 
 
Δ f= 1/ T   (6) 
 
         [0057]     The capability of retaining pulse bandwidth with the changes of its duration enables to implement flexible schemes for modulating pulse sequence with fixed frequency parameters of transmitter output circuits and receiver input circuits. For example, a change in pulse duration does not require to change the band of the input filter and low-noise amplifier.  
         [0058]     An increase of the duration of chaotic RF or optical pulse makes transmitting circuit more robust against interference. In this case, the pulse energy increases, which may be used to control the communication range without altering the peak transmitter power.  
         [0059]     To implement the method of information transmission with chaotic signals under the present invention, to transmit a single data bit, a direct chaotic communication circuit may use single pulses as well as pulse sequences. In any of these two cases, a sequence of chaotic radio- or optical pulses is formed in time domain.  
         [0060]     The duration of a chaotic RF or optical pulses and the repetition rate are variable. This enables one to flexibly control the data transmission rate by means of changing the repetition rate and the average signal power.  
         [0061]     Due to the above properties of chaotic RF or optical pulse, these manipulations do not result in an essential change of the spectrum characteristics of the transmitted signal relative to the signal of the chaotic source. The transmitted signal reveals no additional spectral components.  
         [0062]     In the method of information transmission using chaotic signals under the present invention, information stream may be formed by means of altering the distance between the pulses, the pulse duration, the root-mean-square amplitude of the pulses, a combination of these parameters, etc. For example, the duration of generated radio- or optical pulses can be varied from T˜1/Δf to T→∞, where Δf stands for frequency bandwidth of the signal generated by the chaotic source.  
         [0063]     A sequence of RF or optical pulses may be formed with a fixed pulse repetition rate and with a fixed duration of pulses. In this case, the presence of a pulse on a given position in the sequence corresponds to transmitted symbol 1, while its absence to symbol 0 (see  FIG. 6 ). In the receiver the pulses are identified, their parameters and location in the sequence are determined, and useful information is retrieved from the signal.  
         [0064]     A sequence of RF or optical pulses may also be formed with a fixed duration of pulses and with chaotic intervals between the pulses ΔT i  determined by the dynamics of a supplementary dynamic chaotic system  10  ( FIG. 7   a ) described by the equation 
 
Δ T   i+1   =F (Δ T   i )  (7) 
 
         [0065]     In this case, the presence of a chaotic radio- or optical pulse on a given position in the sequence corresponds to transmitted symbol 1, while its absence to symbol 0 (see  FIG. 7   b ). At the receiving side with the use of a copy of a supplementary dynamic system  10  the expected time positions of chaotic radio or optical pulse arrival are determined, the presence or absence of the pulse on the expected position is fixed and useful information is extracted.  
         [0066]     As is stated above, wide-band carrier is formed in a chaotic source represented by dynamic chaotic system  3  ( FIG. 4 ). The structure of this dynamic chaotic system  3  is synthesized beforehand according to preset characteristics of the wide-band information carrier. In the course of synthesizing such a chaotic dynamic system, the regions of its parameters related to uniform behavior of this chaotic dynamic system are identified, that are necessary for generation of a chaotic signal with minimum required spectral characteristics. This circumstance is denoted in  FIG. 4  by block  7 . On the basis of these identified regions in the said chaotic dynamic system, selected are its parameter values capable of generating a necessary wide-band information carrier in the form of a chaotic information carrier with the minimum required spectrum characteristics to ensure transmission of information with spectrum spreading. This fact is stated in  FIG. 4  by means of block  8 .  
         [0067]     Apart from this,  FIG. 4  shows a control component  9 , by means of which the chaotic dynamic system  3  is regulated. In a particular case, this chaotic dynamic system may be implemented as a dynamic self-oscillating system to contain at least a single active component and an additional frequency-selective structure, parameters of which are controlled by means of the control component  9  shown in  FIG. 4 .  
         [0068]     A specific design of a dynamic self-oscillating system  3  has been described for example in the aforementioned article (A. S. DMITRIEV, B. E. KYARGINSKI, N. A. MAKSIMOV, A. I. PANAS, S. O. STARKOV. Prospects of creating direct chaotic communication systems in radio and super high frequency bands//Radiotekhnika, 2000, # 3, p. 9). Appearance of the system is shown in  FIG. 8   a . This dynamic self-oscillating system that generates chaotic oscillations in super high frequency band is designed (see  FIG. 8   b ) according to three-point circuit on a single transistor, the collector-to-emitter space of which includes a resonance component (RC), functions of which are discharged by a bound strip line resonator. Characteristics of the latter are changed with the help of a reactive component that in the present case is represented by C 3  capacitor, while the circuit modes are tuned by means of variable capacitors C 1 , C 2  and by altering voltages V E  and V C . An equivalent circuit of a chaotic dynamic system is shown in  FIG. 8   c.    
         [0069]     Generally speaking, classic single-transistor three-point circuits are intended for the generation of periodic signals. However, they may also generate chaotic oscillations both in low-frequency band and in radio- and super high frequency bands. A peculiarity of chaotic modes of such a generator consists in the wide-band nature of oscillations excited thereby: power spectrum of the oscillations extends both to the region of very low frequencies and to the region of high frequencies exceeding scores of time basic generation frequency f 0 . For the purpose of obtaining a chaotic signal within frequency band Δf circuit of such a generator has included the aforementioned resonance component (RC). Power spectrum of the generated chaotic signal is shown in  FIG. 9 . This principle of generating chaotic oscillations with a preset power spectrum has been offered and investigated in the following studies (Yu. L. BELSKI, A. S. DMITRIEV, A. I. PANAS, S. O. STARKOV. Synthesis of band-pass signals in self-oscillating systems//Radiotekhnika i Elektronika, 1992, v. 37, # 4 p. 660; A. S. DMITRIEV, A. I. PANAS and S. O. STARKOV. Ring oscillating systems and their application to the synthesis of chaos generating//International J. Bif and Chaos, 1996, v. 6, # 5, p. 851).  
         [0070]     Change of chaotic dynamic system  3  parameters with the help of control component  9  (resonance component RC in  FIG. 8   b ) results in control of chaotic dynamic system  3  behavior. Another method used to control chaotic dynamic system  3  consists in control of representative point path in phase space of the said chaotic dynamic system  3  states (see for example A. L. FRADKOV, A. Yu. POGROMSKI. Introduction to control of oscillations and chaos//World Scientific Publishing, World Scientific Non-linear Science, Series A, v. 35, 1998).  
         [0071]     Hence, the output of complete chaotic dynamic system  3  generates chaotic oscillations with a preset power spectrum that represent a wide-band information carrier. To transmit information with its help, it should be modulated in a certain way. Such a modulation of the wide-band information carrier with information to be transmitted may take place either subsequent to the generation of the wide-band carrier itself or in the course of this generation. In the first case, chaotic pulse generator  2  ( FIG. 4 ) represents for example a key element that transforms chaotic oscillations of system  3  into chaotic radio- or optical pulses having a required duration and required intervals between these pulses. In the second case, generator  2  constitutes a part of chaotic dynamic system  3  that may be represented for instance by capacitors C 1  or C 2 , a change in capacity of whom may result in exciting or failure of generation in the circuit ( FIG. 8   b ).  
         [0072]     A chaotic signal generated on transmitting side is transmitted to communication channel  4  ( FIG. 4   a ).  
         [0073]     Useful information on receiving side is extracted out of chaotic signals by integrating power of received pulses within their duration limits. I.e. in this case, a communication system that implements the method under the present invention performs non-coherent reception of chaotic radio- or optical signals sequence. This non-coherent reception represents demodulation of the received signal when a generated output signal is matched with envelope of a signal generated by chaotic dynamic system on receiving side.  
         [0074]     A possible circuit of the non-coherent reception is shown in  FIG. 10   a  that illustrates the following components:  11 —an antenna exposed to a flow of chaotic radio pulses;  12 —a filter tuned to frequency band of transmitted chaotic signal;  13 —an amplifier;  14 —a detector, e.g. quadratic detector;  15 —an integrator with integration time typical of a chaotic radio pulse duration;  16 —a threshold device;  17 —a decoder that correlates ‘1’ with positions occupied by chaotic radio pulses, and ‘0’ with positions free from radio pulses.  FIG. 10   b  shows profiles of signals in various points of the circuit ( FIG. 10   a ).  
         [0075]     The offered communication system is also capable of making coherent reception. To do this, both reception and demodulation on receiving side are performed with the help of a chaotic dynamic system, behavior of which is at least partly synchronized with a chaotic signal of the chaotic dynamic system  3  of transmitting side. A potential circuit capable of implementing such a reception is shown in  FIG. 11  that illustrates the following components:  11 —an antenna exposed to a flow of chaotic radio pulses;  12 —a filter tuned to frequency band of transmitted chaotic signal;  13 —an amplifier;  18 —a chaotic dynamic system similar to chaotic dynamic system on transmitting side;  15 —an integrator with integration time typical of a chaotic radio pulse duration;  16 —a threshold device;  17 —a decoder that correlates ‘1’ with positions occupied by chaotic radio pulses, and ‘0’ with positions free from radio pulses.  
         [0076]      FIG. 12   a  exemplifies an oscillogram of chaotic radio pulses in communication channel that are generated with the help of a chaotic dynamic system shown in  FIG. 8 .  FIG. 12   b  shows an envelope of chaotic radio pulses extracted by means of non-coherent reception ( FIG. 10   a ).  
         [0077]     Method of chaotic signal-aided transmission of information under the present invention may be applied in telecommunication technology to make information transmission faster and more immune against interference.  
         [0078]     The present invention has been stated only for the purpose of illustration, but not in order to restrict the method applied for, scope of patent claims of which is determined in Formula of Invention subject to potential equivalents of features stated therein.