Generator giperbolicheskikh fluctuations

 

The invention relates to electrical engineering and can be used as a source giperbolicheskikh electromagnetic waves. Technical result achieved: the capacity to manage settings giperbolicheskikh signals. Generator giperbolicheskikh oscillations contains linear and nonlinear devices with negative conductivity, two condensers, two coils, with a working area of the current-voltage characteristics of the nonlinear device with negative conductivity determined given mathematical expression. 1 C.p. f-crystals, 8 ill.

The invention relates to electrical engineering and can be used as a source giperbolicheskikh electromagnetic waves.

Known generator giperbolicheskikh fluctuations(P. Arena, S. Baglio, L. Fortuna, and G. Manganaro. Hyperchaos from cellular neural networks. // Electronics Letters, 1995, vol.31, N 4, p. 250, fig.1), containing linear and nonlinear devices with negative resistance, the first conclusions which are connected with the first pins of the first and second containers, the second output linear negative resistance is connected with the second output of the first capacitance and the first output of the first inductor, the second is d which is connected with the second output of the nonlinear device with negative resistance.

The disadvantage of this generator is a slight possibility of adjustment of the parameters of the generated oscillations.

The closest to the technical nature of the claimed device is a generator giperbolicheskikh oscillations (T. Matsumoto, L. O. Chua and K. Kobayashi. Hyperchaos: Laboratory Experiment and Numerical Confirmation. // IEEE Transactions on Circuits and Systems, 1986, vol.CAS-33, no 11, p.1144), containing linear and nonlinear devices with negative conductivity, the first conclusions which are connected with the first output of the first capacitor, the second terminal of which is connected with the first pins of the first inductor, the second capacitor and the second inductor, the second terminal of the first inductor is connected with the second output of a linear device with negative conductivity, the second findings of the second capacitor and the second inductor is connected to the second output of the nonlinear device with negative conductivity.

The disadvantage of this generator giperbolicheskikh fluctuations is limited ability to change the parameters of the generated signal.

The purpose of the invention is the capacity to manage settings giperbolicheskogo signal.

The purpose of the invention is achieved by the fact that General is the first conclusions which are connected with the first output of the first capacitor, the second output of which is connected with the first pins of the first inductor, the second capacitor and the second inductor, the second terminal of the first inductor is connected with the second output of a linear device with negative conductivity, the second findings of the second capacitor and the second inductor is connected to the second output of the nonlinear device with negative conductivity, is designed so that the working section of the current-voltage characteristics of the nonlinear device with negative conductivity is defined by the equationwhere i is the current flowing between terminals of a nonlinear device with negative conductivity under the action of applied thereto the voltage u, G is the absolute value of the equivalent negative conductivity linear device with negative conductivity, U0- boundary voltage between the middle and the adjacent side sections of the volt-ampere characteristics of a nonlinear device with a negative conductanceand k are constants, satisfying the relations<0,k>1,M and N are integers of neoteric is stabilnosti parameters of the generated signal is a linear device with negative conductivity contains the first impedance Converter, the first and second input whose conclusions, which correspond to the first and second conclusions linear device with negative conductivity, connected to the outputs of the respective first and second current generators, a common bus which is connected to the first power bus, the first and second load the findings of the first impedance Converter connected with the first conclusions of the respective first and second resistors, the second set of conclusions which are connected to a common bus, a non-linear device with negative conductivity contains the second impedance Converter, the first and second input, the findings of which are respective first and second conclusions nonlinear device with negative conductivity, the first and second load conclusions of the second impedance Converter connected to respective first and second findings of the third resistor and the first conclusions of the respective fourth and fifth resistors, the second set of conclusions which are connected respectively with the first and second findings of the first 2+2Max(M, N) cascaded two-ports, where Max(M, N) is the greater of the numbers M and n

The third and fourth conclusions each of the previous two-port network are connected respectively with the first and second coupled to the respective outputs of the third and fourth current generators, a common bus which is connected with the second power bus, each quadrupole contains an impedance Converter, the first and second input whose conclusions, which correspond to the first and second terminals of the two-port network connected to the outputs of the respective first and second current generators of a quadrupole, a common bus which is connected to the first power bus, the first and second load terminals of the impedance Converter, which is the respective third and fourth terminals of the four-terminal network, connected to respective first and second terminals of the resistor.

Each impedance Converter includes first and second transistors, the emitters of which are respectively the first and second load terminals of the Converter impedance, the collector of the first transistor is connected to the emitter of the third transistor, the collector of which is the first input an output of the impedance Converter is connected to the base and collector of the fourth transistor, the emitter of which is connected to the base of the third transistor and the collector of the fifth transistor, the base of which is connected to the emitter of the sixth transistor, the base and the collector of which is connected to the emitter of the seventh transistor, the base and the collector of which seetaram input the output of the impedance Converter, connected to the base and collector of the ninth transistor, the emitter of which is connected to the base of the eighth transistor and the collector of the tenth transistor, the base of which is connected to the emitter of the eleventh transistor, the base and the collector of which is connected to the emitter of the twelfth transistor, the base and the collector of which is connected to the collector of the first transistor, the bases of the first and second transistors are connected to emitters of the fifth and tenth transistors and outputs respectively of the first and second current generators of the impedance Converter, a common bus which is connected with the second power bus.

The inventive generator giperbolicheskikh oscillations is illustrated in Fig.1, which shows its schematic electrical diagram, Fig.2, which shows the electric circuit of the impedance Converter that is included with the generator giperbolicheskikh oscillations, Fig.3, which shows the distribution of currents and voltages in the circuit of the generator during its operation, Fig.4, which shows the normalized current-voltage characteristic of the nonlinear device with negative resistance when M=N=2, Fig.5 and Fig.6, which depicts examples of projection dimensionless strange attractor on the plane of the STI dimensionless variable w from time corresponding to the cases M=1, N=0 (Fig.7) and M=N=2 (Fig.3).

Generator giperbolicheskikh oscillations contains 1 linear and nonlinear 2 devices with negative conductivity, the first 3 and second 4 capacitors, the first 5 and second 6 coils, and a linear device with negative conductivity contains the first impedance Converter 7, the first 8 and second 9 current generators, the first 10 and second 11 resistors, non-linear device with negative conductivity contains the second impedance Converter 12, the third 13 and fourth 14 and 15 fifth resistors, the third 16 and fourth 17 generators and cascaded two-ports 18, each of which contains an impedance Converter 19, the first 20 and second 21 current generators of the quadrupole and the resistor 22, each impedance Converter contains the first 23 and second 24, third 25, 26 fourth, fifth, 27, 28 sixth, seventh, 29, 30 eighth, ninth, 31, 32 tenth, eleventh 33 and twelfth transistors 34, the first 35 and second 36 generators DC Converter impedance.

To find the conditions for generating giperbolicheskikh fluctuations in the proposed generator will write down the equations describing its dynamics (see Fig.3):where i(u) - volt-ampere characteristic responsibly; L1 and L2 is the inductance of the first 5 and second 6 inductors, respectively; u, uC1uC2uL1variable voltage non-linear device with negative conductivity, the first 3 and second 4 capacitors and the first coil 5 inductance; iL1, iL2, iC1, iC2variables currents flowing respectively in the first 5 and second 6 inductance coils, the first 3 and second 4 capacitors.

Solving the equation (1) with respect to
and

we get the following system of differential equations:

Introducing dimensionless variables




and the dimensionless time

here the system (2) to the dimensionless form:

where


immense volt-ampere characteristic of the nonlinear device with negative conductivity.

The original system uravnenii volt-ampere characteristics of a nonlinear device with negative conductivity in the prototype, m1and m0values of the differential conductance of the middle and side portions of the current-voltage characteristics of the nonlinear device with negative conductivity in the prototype, U0- boundary voltage between the middle and side sections of the volt-ampere characteristics of a nonlinear device with negative conductivity in the prototype, the introduction of dimensionless variables




and dimensionless time

is given by the equations

where


dimensionless current-voltage characteristic of the nonlinear device with negative conductivity in the prototype,

Thus, describing the claimed generator dimensionless equations (3) and describes the prototype dimensionless equations (6) differ only by a nonlinear function S(y-x) and h(y-x).

In the composition of the dimensionless current-voltage characteristics of S(y-x) we can distinguish M+N+1 segments hk(see Fig. 4), where k=-M,...-1, 0, 1...n And the average Sestu in the prototype, and the side segments can be obtained by moving the middle segment h0along the dimensionless load line y-x on the interval [2kc, 2kc], i.e. the equation of each lateral segment can be expressed through the medium equation: hk(y-x)=h0(y-x-kc)+kc.

Therefore, within the k-th segment (hk(when (2k-l)c-1<y-x<(2k+1)c+1) dynamics of the generator can be described locally by a system of differential equations:

If the system of equations (9) to make the change of variables xk=x+2kc, zk=z-2kc, wk=w+2kc and note that



(as 2kc - a constant that does not depend on the dimensionless time), we get the system

which is no different from the system of dimensionless differential equations (6), describing the dynamics of the prototype as the function

in the system of equations (10) is identical to the function h(y-x) in the prototype.

Therefore, for each of the segments hkdimensionless current-voltage characteristics of S(y-x) excitation conditions of chaotic oscillations are the same, it is uncle in General.

Thus, in order stated in the generator excited giperbolicheskikh vibrations enough to the values of the coefficients,,,and k in the system of equations (3) belonged to the field giperbolicheskoi dynamics dimensionless equations (6), describing the prototype.

Like the function h(y-x) in the prototype, each segment hkthe function S(x) consists of a middle and two side portions, two adjacent segments have a common side plot (see Fig.4). When the operating point is within the side area belonging simultaneously to two adjacent segments, the system dynamics can be described simultaneously by two local systems of equations (10), corresponding to neighboring segments. In certain known properties of the prototype, the values of the coefficients,,,k each such system of equations determines the movement of the operating point within all three areas of its segment. Therefore, the working point located on a common lateral area adjacent segments may over time re the points moves within all segments of the function S(y-x), that ceteris paribus increases the size of a strange attractor in the inventive generator approximately

times in comparison with the prototype (see Fig.5 and 6).

And it gives additional, in comparison with the prototype and analogues, the adjustable parameters generated giperbolicheskogo signal by changing the geometry of the strange attractor by varying the number of segments I-V characteristics of a nonlinear device with negative conductivity.

Thus, when applying a supply voltage to the circuit of the device with negative conductivity operating point takes its original position at the intersection of the load line with one of the side portions of any segment of volt-ampere characteristics of a nonlinear device with negative conductivity. As in the phase space of system (3) this operating point corresponds to the unstable special point type saddle-focus, generator arise giperbolicheskie self-oscillations. At this operating point moves within all M+N+1 segments of the work area, volt-ampere characteristics.

This work claimed generator giperbolicheskikh �"https://img.russianpatents.com/chr/948.gif">,and k such mode giperbolicheskikh fluctuations in the local equations (10), which is characterized by the fact that the working point moves within all three sections corresponding segment of volt-ampere characteristics. As describing the claimed generator local system of dimensionless equations (10) is identical to the dimensionless equations (6), describing the prototype, the data values of the coefficients,,,k is known from the properties of the prototype. Therefore, the values of the physical parameters of the proposed generator giperbolicheskikh oscillations are selected from the ratios of the(4), (7), (8).

When the identity of all transistors nonlinear device with negative conductivity is given in the claims the volt-ampere characteristic, if




where R1 is the resistance of the first 10 and second 11 resistor, R2 is the resistance of the third resistor 13, R3 is the resistance of the fourth 14 and 15 fifth resistors R4 - resistance included four rrnas characteristics of a nonlinear device with negative conductivity, respectively

and

Boundary currents between areas of the volt-ampere characteristics of a nonlinear device with negative conductivity with different differential conductivity are third 16 and fourth 17 current generators, current generators 20 and 21 that are part of four, and the generators 35 and 36 that are part of the impedance converters.

If we accept such positive direction of the AC current i flowing through the nonlinear device with negative conductivity when it flows into the first conclusion of this device arises from its second output, the current-voltage characteristic of the nonlinear device with negative conductivity will fit described in the claims of the equation, if the output currents of the current generators forming part of the generator giperbolicheskikh fluctuations, have the following values.

When M= N output currents of the third 16 and fourth 17 generators and output currents contained in the two current generators 20 and 21 are equal

where I1- the value of the output currents of the current generators 35 and 36, soderjaschee 20, members of the 2p-x two-port, the second current generators 21, part 1+2E-x four, and generators 35, 36 of the impedance converters, part 1+2p-x two-port, increased by (p+2)I1where p=1, 2...M-N is the number of the quadrupole.

Case N>M differs from M=N so that the output currents of the second current generators 21, members of the 2p-x four, the first current generators 20, part 1+2p-x four, and generators 35, 36 of the impedance converters, part 1+2p-x two-port, increased by (p+2)I1where p=1, 2...M-N is the number of the quadrupole.

This

Output currents of the first 8 and second 9 of generators equal to or greater than 2I1[2+Max(M, N)].

E-rebuilding mode oscillations on a case corresponding to any one of the values of the integers M and N, the case corresponding to other values of the integers M and N, is carried out by adjustment of the current generators of the impedance converters and generators of two. The number of two selected respective most desired values of the integers M and n to go to the mode of oscillation corresponding to some mcnece, where q= 1+2[Max(M, N)-Max(M*-N*)], and output currents of the first 8 and second 9 generators should be increased to (q+2)I1in the cases M*>N* and N*>M* the values of the output currents of the current generators 20, 21, and 35, 36 are set in accordance with the expressions for the cases M>N and N>M, respectively, with the difference that
p = q+1,q+2,...|M*-N*|+q+1.
When this non-linear device with negative conductivity is as follows.

Equivalent conductance GEnonlinear device with negative conductivity is approximately equal to

where

g0equivalent conductivity of series-connected four-pole side of the first and second findings of the first quadrupole. When the values of the voltage u applied to the findings of a nonlinear device with negative conductivity, lying within the interval
[-(c-1)U0(c-1)U0],
g0g4[1+Max(M, N)]-g4[1+Max(M, N)]=0,
where

where

At this time, the working point is located within the middle section of the segment h0dimensionless volt-amp is moved first 23 and second 24 transistor impedance Converter, part 2+2Max(M, N)-th quadrupole. As a result, the conductance g0becomes equal to g0g4Max(M, N)-g4[1+Max(M, N)]=-g4the equivalent conductivity of a nonlinear device with negative conductivity acquires the value

At this operating point is moved to one of the side portions of the segment h0. When the value of the voltage u falls outside the interval [-(c+1)U0(c+1)U0] , locked the first 23 and second 24 transistor impedance Converter, part 1+2Max(M, N)-th quadrupole, conductivity g0and GEgain value g0g4Max(M, N)-g4Max(M, N)=0, and

respectively, and the working point moves, depending on the polarity of the voltage u, at the middle portion of the segment h1or h-1. When the output values of the voltage u over the interval [-(3c-l)U0, (3c-l)U0] locked the first 23 and second 24 transistor impedance Converter, part of the 2Max(M, N)-th quadrupole, conductivity g0and GEbecome equal respectively g3g4[Max(M, N)-1]-g1or h-1, and so on. Reducing a value of the voltage u, is applied to a nonlinear device with negative conductivity, everything is repeated in reverse order.

High temperature stability of the generated giperbolicheskogo signal due to the fact that the equivalent negative conductivity linear device with negative conductivity and current-voltage characteristic of the nonlinear device with negative conductivity is practically not depend on the parameters of the transistors due to the mutual compensation of the emitter resistances of the transistors 23 and 25, 24 and 30, 26 and 27, 31 and 32 in each of the impedance Converter.

Giperalgeticheskie fluctuations in equations (10), characterized by movement of an operating point within all three areas of each segment of volt-ampere characteristics of a nonlinear device with negative conductivity occur, in particular, when10,=0,5...0,7,1,5,-0,2, k-15.

If you acceptC1=100 nF, giperbolicheskie fluctuations in the

R196 Ohms,
R2960 Ohms,
R320 Ohm
R4100 Ohms.

Corresponding to these values of the parameters of the generator examples dimensionless strange attractor for M=1, N=0 and M=N=2 is shown in Fig.5 and 6, respectively. In Fig.7 and 8 show respective examples according to the dimensionless variable w from time to time.

In the case M=1, N=0, the device with negative conductivity contains four quadrupole, in the case M=N=2 - six chetyrekhpolyusnikov.

Let U0= 80 mV. The above values of the coefficientsand k corresponds to the I11.6 milliamperes. In the case M=1, N=0 output currents of the first 20 and second 21 current generators of the first and fourth two-port and the output current of the second generator 21 current of the second quadrupole approximately equal to 0.8 mA. Output currents of the first 35 and second 36 generators converters impedance included in the first and fourth two-port, equal to 1.6 mA. Output currents of the first current generator 20 of the second quadrupole and the second generator 21 current of the third quadrupole is equal to 6.4 trehpolyusny, equal to 8 mA.

In the case M=N=2 device with negative conductivity contains six four. Output currents of the first 20 and second 21 generators of two equal to 0.8 mA. Output currents of the first 35 and second 36 generators converters impedance equal to 1.6 mA.

To the generator of chaotic oscillations, non-linear device with negative conductivity, containing six two-port, electronic reconstruction from the case M=N=2 to the case M=1, N=0, it is necessary to increase the output currents of the first 35 and second 36 generators DC Converter impedance, part of the third quadrupole, up to 0.8 mA, output currents of the first current generator 20 of the fourth quadrupole and the second current generator of the fifth quadrupole - to 9.6 mA output currents of the first 35 and second 36 generators DC Converter impedance, part of the fifth four-terminal network, - to 11.2 mA.

Thus, the proposed generator giperbolicheskikh oscillations differs from prototype and analogs, which provides additional, in comparison with them, the ability to control parameters generated giperbolicheskogo signal by changing the geometry of the strange attractor is Timothy.


Claims

1. Generator giperbolicheskikh fluctuations, containing linear and nonlinear devices with negative conductivity, the first conclusions which are connected with the first output of the first capacitor, the second terminal of which is connected with the first pins of the first inductor, the second capacitor and the second inductor, the second terminal of the first inductor is connected with the second output of a linear device with negative conductivity, the second findings of the second capacitor and the second inductor is connected to the second output of the nonlinear device with negative conductivity, characterized in that the working area of the current-voltage characteristics of the nonlinear device with negative conductivity is defined by the equation

where i is the current flowing between terminals of a nonlinear device with negative conductivity under the action of applied thereto the voltage u;
G is the absolute value of the equivalent negative conductivity linear device with negative conductivity;
U0- boundary voltage between the middle and the adjacent side sections of the volt-ampere'hara satisfying the relations<0,k>1;

M and N are integers.

2. Generator giperbolicheskikh oscillations under item 1, characterized in that the linear device with negative conductivity contains the first impedance Converter, the first and second input whose conclusions, which correspond to the first and second conclusions linear device with negative conductivity, connected to the outputs of the respective first and second current generators, a common bus which is connected to the first power bus, the first and second load the findings of the first impedance Converter connected with the first conclusions of the respective first and second resistors, the second set of conclusions which are connected to a common bus, a non-linear device with negative conductivity contains the second impedance Converter, the first and second input, the findings of which are respective first and second conclusions nonlinear device with negative conductivity, the first and second load conclusions of the second impedance Converter connected to respective first and second findings of the third resistor and the first conclusions of the respective fourth and fifth resistors, the second terminals of courageousness, where Max (M, N) is the greater of the numbers M and N, the third and fourth conclusions each of the previous two-port network are connected respectively with the first and second findings of the subsequent quadrupole, the third and fourth conclusions the last 2+2Max (M, N)-th quadrupole connected to the respective outputs of the third and fourth current generators, a common bus which is connected with the second power bus, each quadrupole contains an impedance Converter, the first and second input whose conclusions, which correspond to the first and second terminals of the two-port network connected to the outputs of the respective first and second current generators quadrupole, a common bus which is connected to the first power bus, the first and second load terminals of the impedance Converter, which is the respective third and fourth terminals of the four-terminal network, connected to respective first and second terminals of the resistor, each impedance Converter includes first and second transistors, the emitters of which are respectively the first and second load terminals of the Converter impedance, the collector of the first transistor is connected to the emitter of the third transistor, the collector of which, which is the first input output convertigo transistor and the collector of the fifth transistor, base of which is connected to the emitter of the sixth transistor, the base and the collector of which is connected to the emitter of the seventh transistor, the base and the collector of which is connected to the collector of the second transistor and the emitter of the eighth transistor, the collector of which, as second input the output of the impedance Converter is connected to the base and collector of the ninth transistor, the emitter of which is connected to the base of the eighth transistor and the collector of the tenth transistor, the base of which is connected to the emitter of the eleventh transistor, the base and the collector of which is connected to the emitter of the twelfth transistor, the base and the collector of which is connected to the collector of the first transistor, bases of the first and second transistors are connected to emitters of the fifth and tenth transistors and outputs respectively of the first and second current generators of the impedance Converter, a common bus which is connected with the second power bus.

 

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