CN103795394A - Weak signal detection system based on double resonance - Google Patents

Weak signal detection system based on double resonance Download PDF

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CN103795394A
CN103795394A CN201410023387.2A CN201410023387A CN103795394A CN 103795394 A CN103795394 A CN 103795394A CN 201410023387 A CN201410023387 A CN 201410023387A CN 103795394 A CN103795394 A CN 103795394A
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CN103795394B (en
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林敏�
郑俊
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China Jiliang University
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Abstract

The invention discloses a weak signal detection system based on double resonance. The weak signal detection system based on the double resonance is composed of a sensor, a signal generating module, a coupling bistable system and a data acquisition module, wherein a signal, to be detected, which contains noise and is acquired by the sensor serves as input of a controlled system of the coupling bistable system, and a single-frequency signal, with the tunable frequency, generated by the signal generating module serves as a control signal to be input into a controlling system of the coupling bistable system. The coupling bistable system which is formed by coupling of a controlled unit and a controlling unit is composed of a summator, an integrator, an amplifier and a multiplier. Under the action of the control signal, the double resonance exists in the coupling system, the resonance in the controlling unit can effectively increase the stochastic resonance in the controlled unit, and after the data acquisition module acquires output of the coupling bistable system, weak signals under the noise condition can be detected through frequency-domain analysis.

Description

A kind of Weak Signal Detection System based on double resonance
Technical field
The present invention relates to a kind of detection system of utilizing the accidental resonance Enhancement Method of double resonance under strong noise background, small-signal to be detected.
Background technology
Since the people such as accidental resonance Objective Concept Benzi propose in the time within 1981, studying the ancient Meteorological Problem of the earth, accidental resonance relates in the field of small-signal processing because its advantage in signal is processed with enhancing signal transmission capabilities is just more and more widely used in biomedicine, chemistry, mechanical equipment fault detection etc.Stochastic Resonance Phenomenon refers to that non linear system is under input signal and noise acting in conjunction, and along with noise intensity increases gradually from little, its output signal-to-noise ratio presents non-monotonic variation.Traditional method for detecting weak signals is as linearity amplification and linear filtering etc., its foothold all concentrates on and suppresses on noise, but when measured signal frequency and noise band are when overlapping, in suppressing noise, often also damage measured signal, greatly affected the performance of Detection of Weak Signals.Contrary with the conventional method of various inhibition noises, accidental resonance is to utilize noise to strengthen system output signal-to-noise ratio, thus the small-signal of detecting.The key of moving towards application as accidental resonance, effective control of accidental resonance becomes the emphasis of research.The classical non linear system of research accidental resonance is bistable system, and bistable system has simple in structure, is convenient to the advantage of theory analysis.But as thresholding system, in biosystem, bistable system structural parameters are often fixing in practical application, can not and then realize the control of accidental resonance by its potential barrier of direct change and threshold value.Therefore, in engineering, need to study at present a kind of Weak Signal Detection System that can carry out flexibly accidental resonance control.
Summary of the invention
For the problems referred to above, the object of this invention is to provide a kind of Weak Signal Detection System of the accidental resonance Enhancement Method based on double resonance.
The object of the invention is to be achieved through the following technical solutions: a kind of Weak Signal Detection System based on double resonance, it is characterized in that, it is mainly made up of transducer, signal generating module, coupled bistable systems, data acquisition module, wherein, coupled bistable systems is connected to form by control unit and controlled unit, transducer is connected with controlled unit, and signal generating module is connected with control unit, and controlled unit is connected with data acquisition module; After being gathered by transducer, noisy weak periodic signal to be detected joins in the controlled unit of coupled bistable systems; Signal generating module produces the adjustable control signal of single-frequency, is input in coupled bistable systems control unit, changes the frequency size of control signal, makes coupled bistable systems produce resonance; Finally, the laggard row data processing of signal and the waveform exported by data collecting module collected coupled bistable systems show; Identical controlled unit and the control unit of described coupled bistable systems electricity routing infrastructure is coupled to form; Controlled unit and control unit form by three amplifiers, adder, integrator and four multipliers; The output of adder is connected with the input of integrator, the output of integrator respectively with the first amplifier, the second multiplier is connected with the 3rd multiplier, the 3rd multiplier is connected with the 3rd amplifier, the second multiplier, the first multiplier and the second amplifier are connected successively, the first amplifier, the second amplifier and the 3rd amplifier are all connected with the input of adder, and the 4th multiplier is connected with the 3rd multiplier; The output of the integrator of control unit is connected with the 4th multiplier of controlled unit, the output of the integrator of controlled unit is connected with the 4th multiplier of control unit unit, transducer is connected with the input of the adder of controlled unit, signal generating module is connected with the input of the adder of control unit, and the output of the integrator of controlled unit is connected with data acquisition module.
Further, described adder comprises operational amplifier U1A, five resistance R 1-R5; One end of resistance R 1 is connected with transducer, and the other end is connected with the inverting input of operational amplifier U1A; One end of resistance R 5 is connected with the inverting input of operational amplifier U1A, and the other end is connected with the output of operational amplifier U1A; One end of resistance R 4 is connected with the in-phase input end of operational amplifier U1A, other end ground connection; Described integrator comprises operational amplifier U1D, resistance R 6, R7; One end of resistance R 6 and the output of adder, the output of operational amplifier U1A is connected, and the other end is connected with the inverting input of operational amplifier U1D; One end of resistance R 7 is connected with the in-phase input end of operational amplifier U1D, other end ground connection; One end of capacitor C 1 is connected with the inverting input of operational amplifier U1D, and the other end is connected with the output of operational amplifier U1D; The first amplifier is made up of resistance R 3 and adjustable resistance R8; Adjustable resistance R8 stiff end one end is connected with integrator output, another stiff end ground connection; One end of resistance R 3 is connected with the adjustable end of adjustable resistance R8, and the other end is connected with adder input, is connected to the inverting input of operational amplifier U1A; The second multiplier is by multiplier U3A, three resistance R 9-R11, operational amplifier U2A composition; Anti-phase and the in-phase input end of U3A is all connected with the output of integrator; One end of resistance R 9 is connected with the output of multiplier U3A, and the other end is connected with the inverting input of operational amplifier U2A; One end of resistance R 10 is connected with the in-phase input end of operational amplifier U2A, other end ground connection; One end of resistance R 11 is connected with the inverting input of operational amplifier U2A, and the other end is connected with the output of operational amplifier U2A; The first multiplier is made up of multiplier U3D, and its inverting input is connected with the output of the second multiplier, and in-phase input end is connected with the output of integrator; The second amplifier is by operational amplifier U2D, resistance R 13, R14 and adjustable resistance R15 composition; One end of resistance R 13 is connected with the output of the first multiplier, and the other end is connected with the inverting input of operational amplifier U2D; One end of resistance R 14 is connected with the in-phase input end of four-operational amplifier U2D, other end ground connection; One end of adjustable resistance R15 is connected with the inverting input of operational amplifier U2D, and the other end is connected with the output of four-operational amplifier U2D; One end of resistance R 2 is connected with the output of operational amplifier U2D, and the other end is connected with the input of adder; The 4th multiplier is by multiplier U3B, three resistance R 16-R18, operational amplifier U2B composition; Anti-phase and the in-phase input end of multiplier U3B is all connected with the output of control unit; One end of resistance R 16 is connected with the output of multiplier U3B, and the other end is connected with the inverting input of operational amplifier U2B; One end of resistance R 17 is connected with the in-phase input end of operational amplifier U2B, other end ground connection; One end of resistance R 18 is connected with the inverting input of operational amplifier U2B, and the other end is connected with the output of operational amplifier U2B; The 3rd multiplier is made up of multiplier U3C, and its inverting input is connected with the output of the 4th multiplier, and in-phase input end is connected with the output of integrator; The 3rd amplifier is by operational amplifier U2C, resistance R 19, R20 and adjustable resistance R21 composition; One end of resistance R 19 is connected with the output of three multipliers, and the other end is connected with the inverting input of operational amplifier U2C; One end of resistance R 20 is connected with the in-phase input end of four-operational amplifier U2D, other end ground connection; One end of adjustable resistance R21 is connected with the inverting input of operational amplifier U2C, and the other end is connected with the output of four-operational amplifier U2D; The output of operational amplifier U2C is connected with the input of adder.
The invention has the beneficial effects as follows: exist in actual applications the problem that is difficult to directly realize by regulating system parameter accidental resonance control for bistable system, the present invention has utilized the double resonance phenomenon existing in coupled bistable systems, design the Weak Signal Detection System based on double resonance, transducer is input to the measured signal collecting in the controlled unit of coupled bistable systems, make control system produce resonance by signal generating module to the adjustable control signal of control unit incoming frequency, accidental resonance in the significantly enhancing system of double resonance producing in coupled bistable systems, carry out after time frequency analysis through the output of data collecting module collected coupled bistable systems accidental resonance, can effectively detect the small-signal under strong noise background.
Accompanying drawing explanation
Fig. 1 is double resonance Weak Signal Detection System structured flowchart;
Fig. 2 is coupled bistable systems structured flowchart;
Fig. 3 is the circuit diagram of controlled unit;
Fig. 4 is primary fault signal time-domain diagram;
Fig. 5 is primary fault signal power spectrogram;
Fig. 6 is coupled system power output spectrogram while only having coupling;
Coupled system power output spectrogram when Fig. 7 is double resonance.
Embodiment
As shown in Figure 1, the Weak Signal Detection System that the present invention is based on double resonance is made up of transducer, signal generating module, coupled bistable systems, data acquisition module, wherein, coupled bistable systems is connected to form by control unit and controlled unit, transducer is connected with controlled unit, signal generating module is connected with control unit, and controlled unit is connected with data acquisition module.After being gathered by transducer, noisy weak periodic signal to be detected joins in the controlled unit of coupled bistable systems; Signal generating module produces the adjustable control signal of single-frequency, is input in coupled bistable systems control unit, changes the frequency size of control signal, makes coupled bistable systems produce resonance; Finally, the laggard row data processing of signal and the waveform exported by data collecting module collected coupled bistable systems show.
As shown in Figure 2, identical controlled unit and the control unit of coupled bistable systems electricity routing infrastructure is coupled to form.Controlled unit and control unit form by three amplifiers, adder, integrator and four multipliers.The output of adder is connected with the input of integrator, the output of integrator respectively with the first amplifier, the second multiplier is connected with the 3rd multiplier, the 3rd multiplier is connected with the 3rd amplifier, the second multiplier, the first multiplier and the second amplifier are connected successively, the first amplifier, the second amplifier and the 3rd amplifier are all connected with the input of adder, and the 4th multiplier is connected with the 3rd multiplier.The output of the integrator of control unit is connected with the 4th multiplier of controlled unit, the output of the integrator of controlled unit is connected with the 4th multiplier of control unit unit, transducer is connected with the input of the adder of controlled unit, signal generating module is connected with the input of the adder of control unit, and the output of the integrator of controlled unit is connected with data acquisition module.
As shown in Figure 3, in controlled unit, adder comprises operational amplifier U1A, five resistance R 1-R5.One end of resistance R 1 is connected with transducer, and the other end is connected with the inverting input of operational amplifier U1A; One end of resistance R 5 is connected with the inverting input of operational amplifier U1A, and the other end is connected with the output of operational amplifier U1A; One end of resistance R 4 is connected with the in-phase input end of operational amplifier U1A, other end ground connection;
Integrator comprises operational amplifier U1D, resistance R 6, R7.One end of resistance R 6 and the output of adder, the output of operational amplifier U1A is connected, and the other end is connected with the inverting input of operational amplifier U1D; One end of resistance R 7 is connected with the in-phase input end of operational amplifier U1D, other end ground connection; One end of capacitor C 1 is connected with the inverting input of operational amplifier U1D, and the other end is connected with the output of operational amplifier U1D;
The first amplifier is made up of resistance R 3 and adjustable resistance R8.Adjustable resistance R8 stiff end one end is connected with integrator output, another stiff end ground connection; One end of resistance R 3 is connected with the adjustable end of adjustable resistance R8, and the other end is connected with adder input, is connected to the inverting input of operational amplifier U1A.
The second multiplier is by multiplier U3A, three resistance R 9-R11, operational amplifier U2A composition.Anti-phase and the in-phase input end of U3A is all connected with the output of integrator; One end of resistance R 9 is connected with the output of multiplier U3A, and the other end is connected with the inverting input of operational amplifier U2A; One end of resistance R 10 is connected with the in-phase input end of operational amplifier U2A, other end ground connection; One end of resistance R 11 is connected with the inverting input of operational amplifier U2A, and the other end is connected with the output of operational amplifier U2A.
The first multiplier is made up of multiplier U3D, and its inverting input is connected with the output of the second multiplier, and in-phase input end is connected with the output of integrator.
The second amplifier is by operational amplifier U2D, resistance R 13, R14 and adjustable resistance R15 composition.One end of resistance R 13 is connected with the output of the first multiplier, and the other end is connected with the inverting input of operational amplifier U2D; One end of resistance R 14 is connected with the in-phase input end of four-operational amplifier U2D, other end ground connection; One end of adjustable resistance R15 is connected with the inverting input of operational amplifier U2D, and the other end is connected with the output of four-operational amplifier U2D; One end of resistance R 2 is connected with the output of operational amplifier U2D, and the other end is connected with the input of adder.
The 4th multiplier is by multiplier U3B, three resistance R 16-R18, operational amplifier U2B composition.Anti-phase and the in-phase input end of multiplier U3B is all connected with the output of control unit; One end of resistance R 16 is connected with the output of multiplier U3B, and the other end is connected with the inverting input of operational amplifier U2B; One end of resistance R 17 is connected with the in-phase input end of operational amplifier U2B, other end ground connection; One end of resistance R 18 is connected with the inverting input of operational amplifier U2B, and the other end is connected with the output of operational amplifier U2B.
The 3rd multiplier is made up of multiplier U3C, and its inverting input is connected with the output of the 4th multiplier, and in-phase input end is connected with the output of integrator.
The 3rd amplifier is by operational amplifier U2C, resistance R 19, R20 and adjustable resistance R21 composition.One end of resistance R 19 is connected with the output of three multipliers, and the other end is connected with the inverting input of operational amplifier U2C; One end of resistance R 20 is connected with the in-phase input end of four-operational amplifier U2D, other end ground connection; One end of adjustable resistance R21 is connected with the inverting input of operational amplifier U2C, and the other end is connected with the output of four-operational amplifier U2D; The output of operational amplifier U2C is connected with the input of adder.
Below in conjunction with accompanying drawing and by embodiment, technical scheme of the present invention is described further.
The connection scheme of device of the present invention is in series by four parts such as transducer, signal generating module, coupled bistable systems, data acquisition modules.Wherein, the realization of the hardware circuit of coupled bistable systems is the basis of this Weak Signal Detection System.Coupled bistable systems can be by following the Representation Equation:
Figure 588123DEST_PATH_IMAGE001
(1)
In formula
Figure 512086DEST_PATH_IMAGE002
for controlled bistable system, it forms controlled unit;
Figure 35471DEST_PATH_IMAGE003
for controlling bistable system, it forms control unit, and controlled unit is identical with control unit structure.Fig. 2 is coupled bistable systems structured flowchart, and it is mainly made up of amplifier, adder, integrator and multiplier.The weak periodic signal of input and noise inputs are to the input of adder, and the output of adder is connected to the input of integrator; The output of integrator is connected to the input of adder after the first amplifier, produces bistable system linear term output feedback
Figure 465315DEST_PATH_IMAGE004
, ; Integrator is exported successively through the second multiplier, and the first multiplier, is connected to adder input after the second amplifier, produces the nonlinear terms output feedback of bistable system
Figure 919747DEST_PATH_IMAGE006
,
Figure 744310DEST_PATH_IMAGE007
; The output of the output of integrator and the 4th multiplier is input to respectively after the 3rd multiplier, is connected to the input of adder after the 3rd amplifier, produces respectively coupling terms output feedback
Figure 79476DEST_PATH_IMAGE008
,
Figure 808398DEST_PATH_IMAGE009
.
Fig. 3 is controlled element circuit figure in coupled bistable systems.Wherein, adjustable resistance R8 can realize the dynamically adjustable of bistable system linear term coefficient.Amplifier chip is chosen as LM224, and its 4 pin and 11 pin meet respectively positive and negative 5V.Multiplier chip is chosen as MLT04, and its 5 pin and 14 pin connect respectively positive and negative 5V power supply, 2 pin ground connection.Coupled bistable systems control unit circuit diagram is identical with controlled element circuit figure.
By following instantiation, beneficial effect of the present invention is described:
Use this invention to detect bearing fault signal, bearing designation is N/NU205EM.Take inner ring fault as example, can calculate bearing rotary frequently according to characteristic frequency computing formula
Figure 824895DEST_PATH_IMAGE010
time failure-frequency theoretical value be
Figure 322873DEST_PATH_IMAGE011
.But due to the interference of the background noises such as vibration, the time-domain diagram that is collected primary fault signal by transducer cannot be told any periodic component, sees Fig. 4.Fig. 5 is primary fault signal power spectrogram, because other frequency contents interference are larger, cannot tell
Figure 94519DEST_PATH_IMAGE012
the characteristic fault frequency of left and right.The primary fault signal of transducer collection is input in the controlled unit of coupled bistable systems hardware circuit, suitably regulate coupled bistable systems parameter, make to produce accidental resonance in controlled unit, through data acquisition module, the laggard line frequency domain analysis of resampling is exported in controlled unit.Fig. 6 is the coupled system power output spectrogram under coupling only, in characteristic frequency
Figure 232109DEST_PATH_IMAGE013
there is a spectrum peak in place, its value is
Figure 114614DEST_PATH_IMAGE014
.But this spectrum peak is not outstanding, and the interference of other frequency contents is larger, detects effect poor.
Utilize signal generating module to produce the sinusoidal signal that amplitude is 150mV, be entered in the control unit of coupled bistable systems, by its frequency of continuous adjusting, under the effect of control signal, in control unit, produce resonance.The double resonance producing in coupled bistable systems significantly strengthens the accidental resonance output of system, as shown in Figure 7, and characteristic frequency the spectrum peak at place is further strengthened to
Figure 347329DEST_PATH_IMAGE015
, amplitude has increased
Figure 972215DEST_PATH_IMAGE016
, it is significantly outstanding that spectrum peak becomes, and also further reduction of the interference of other frequency contents, and the characteristic frequency of 178.40Hz is bearing inner race failure-frequency to be detected.Embodiment result shows, this invention can accurately detect the bearing fault signal under noise background, and its application in bearing fault detection is feasible and effective.

Claims (2)

1. the Weak Signal Detection System based on double resonance, it is characterized in that, it is mainly made up of transducer, signal generating module, coupled bistable systems, data acquisition module, wherein, coupled bistable systems is connected to form by control unit and controlled unit, transducer is connected with controlled unit, and signal generating module is connected with control unit, and controlled unit is connected with data acquisition module; After being gathered by transducer, noisy weak periodic signal to be detected joins in the controlled unit of coupled bistable systems; Signal generating module produces the adjustable control signal of single-frequency, is input in coupled bistable systems control unit, changes the frequency size of control signal, makes coupled bistable systems produce resonance; Finally, the laggard row data processing of signal and the waveform exported by data collecting module collected coupled bistable systems show; Identical controlled unit and the control unit of described coupled bistable systems electricity routing infrastructure is coupled to form; Controlled unit and control unit form by three amplifiers, adder, integrator and four multipliers; The output of adder is connected with the input of integrator, the output of integrator respectively with the first amplifier, the second multiplier is connected with the 3rd multiplier, the 3rd multiplier is connected with the 3rd amplifier, the second multiplier, the first multiplier and the second amplifier are connected successively, the first amplifier, the second amplifier and the 3rd amplifier are all connected with the input of adder, and the 4th multiplier is connected with the 3rd multiplier; The output of the integrator of control unit is connected with the 4th multiplier of controlled unit, the output of the integrator of controlled unit is connected with the 4th multiplier of control unit unit, transducer is connected with the input of the adder of controlled unit, signal generating module is connected with the input of the adder of control unit, and the output of the integrator of controlled unit is connected with data acquisition module.
2. the Weak Signal Detection System based on double resonance according to claim 1, is characterized in that, described adder comprises operational amplifier U1A, five resistance R 1-R5; One end of resistance R 1 is connected with transducer, and the other end is connected with the inverting input of operational amplifier U1A; One end of resistance R 5 is connected with the inverting input of operational amplifier U1A, and the other end is connected with the output of operational amplifier U1A; One end of resistance R 4 is connected with the in-phase input end of operational amplifier U1A, other end ground connection; Described integrator comprises operational amplifier U1D, resistance R 6, R7; One end of resistance R 6 and the output of adder, the output of operational amplifier U1A is connected, and the other end is connected with the inverting input of operational amplifier U1D; One end of resistance R 7 is connected with the in-phase input end of operational amplifier U1D, other end ground connection; One end of capacitor C 1 is connected with the inverting input of operational amplifier U1D, and the other end is connected with the output of operational amplifier U1D; The first amplifier is made up of resistance R 3 and adjustable resistance R8; Adjustable resistance R8 stiff end one end is connected with integrator output, another stiff end ground connection; One end of resistance R 3 is connected with the adjustable end of adjustable resistance R8, and the other end is connected with adder input, is connected to the inverting input of operational amplifier U1A; The second multiplier is by multiplier U3A, three resistance R 9-R11, operational amplifier U2A composition; Anti-phase and the in-phase input end of U3A is all connected with the output of integrator; One end of resistance R 9 is connected with the output of multiplier U3A, and the other end is connected with the inverting input of operational amplifier U2A; One end of resistance R 10 is connected with the in-phase input end of operational amplifier U2A, other end ground connection; One end of resistance R 11 is connected with the inverting input of operational amplifier U2A, and the other end is connected with the output of operational amplifier U2A; The first multiplier is made up of multiplier U3D, and its inverting input is connected with the output of the second multiplier, and in-phase input end is connected with the output of integrator; The second amplifier is by operational amplifier U2D, resistance R 13, R14 and adjustable resistance R15 composition; One end of resistance R 13 is connected with the output of the first multiplier, and the other end is connected with the inverting input of operational amplifier U2D; One end of resistance R 14 is connected with the in-phase input end of four-operational amplifier U2D, other end ground connection; One end of adjustable resistance R15 is connected with the inverting input of operational amplifier U2D, and the other end is connected with the output of four-operational amplifier U2D; One end of resistance R 2 is connected with the output of operational amplifier U2D, and the other end is connected with the input of adder; The 4th multiplier is by multiplier U3B, three resistance R 16-R18, operational amplifier U2B composition; Anti-phase and the in-phase input end of multiplier U3B is all connected with the output of control unit; One end of resistance R 16 is connected with the output of multiplier U3B, and the other end is connected with the inverting input of operational amplifier U2B; One end of resistance R 17 is connected with the in-phase input end of operational amplifier U2B, other end ground connection; One end of resistance R 18 is connected with the inverting input of operational amplifier U2B, and the other end is connected with the output of operational amplifier U2B; The 3rd multiplier is made up of multiplier U3C, and its inverting input is connected with the output of the 4th multiplier, and in-phase input end is connected with the output of integrator; The 3rd amplifier is by operational amplifier U2C, resistance R 19, R20 and adjustable resistance R21 composition; One end of resistance R 19 is connected with the output of three multipliers, and the other end is connected with the inverting input of operational amplifier U2C; One end of resistance R 20 is connected with the in-phase input end of four-operational amplifier U2D, other end ground connection; One end of adjustable resistance R21 is connected with the inverting input of operational amplifier U2C, and the other end is connected with the output of four-operational amplifier U2D; The output of operational amplifier U2C is connected with the input of adder.
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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106154143A (en) * 2016-06-21 2016-11-23 中国计量大学 A kind of two-value information detecting method based on fractional order logic accidental resonance
CN110763465A (en) * 2019-10-22 2020-02-07 中国计量大学 Bearing early fault signal detection system based on tristable characteristic with damping

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US20100264921A1 (en) * 2009-04-21 2010-10-21 Herng-Er Horng Squid detected nuclear magnetic resonance and imaging at ultra-weak fields
CN102778622A (en) * 2012-07-26 2012-11-14 杭州电子科技大学 Noise-contained small-signal detecting circuit based on non-saturation stochastic resonance mathematical model
CN203025254U (en) * 2012-12-29 2013-06-26 杭州电子科技大学 Weak signal detection circuit based on modulating bistable stochastic resonance principle

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20100264921A1 (en) * 2009-04-21 2010-10-21 Herng-Er Horng Squid detected nuclear magnetic resonance and imaging at ultra-weak fields
CN102778622A (en) * 2012-07-26 2012-11-14 杭州电子科技大学 Noise-contained small-signal detecting circuit based on non-saturation stochastic resonance mathematical model
CN203025254U (en) * 2012-12-29 2013-06-26 杭州电子科技大学 Weak signal detection circuit based on modulating bistable stochastic resonance principle

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106154143A (en) * 2016-06-21 2016-11-23 中国计量大学 A kind of two-value information detecting method based on fractional order logic accidental resonance
CN106154143B (en) * 2016-06-21 2018-09-21 中国计量大学 A kind of two-value information detecting method based on fractional order logic accidental resonance
CN110763465A (en) * 2019-10-22 2020-02-07 中国计量大学 Bearing early fault signal detection system based on tristable characteristic with damping

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