CN108446440A - The method for improving particle temperature measurement accuracy - Google Patents

The method for improving particle temperature measurement accuracy Download PDF

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Publication number
CN108446440A
CN108446440A CN201810141156.XA CN201810141156A CN108446440A CN 108446440 A CN108446440 A CN 108446440A CN 201810141156 A CN201810141156 A CN 201810141156A CN 108446440 A CN108446440 A CN 108446440A
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particle temperature
wavelet
decomposition
high frequency
signal
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杨晖
牟士杭
李然
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University of Shanghai for Science and Technology
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University of Shanghai for Science and Technology
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/14Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms
    • G06F17/148Wavelet transforms
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/10Noise analysis or noise optimisation

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Abstract

The present invention relates to a kind of method improving particle temperature measurement accuracy, step is:1)Decomposition using one-dimensional wavelet analysis to particle temperature data-signal, 2)Wavelet transformation decomposition is carried out to primary granule temperature data, obtains a low frequency part and several high frequency section;3)High frequency section after particle temperature datagram wavelet decomposition is retained constant;4)The threshold value quantizing of wavelet decomposition high frequency coefficient selects a threshold value to carry out soft-threshold quantification treatment the high frequency coefficient under each decomposition scale;5)Then wavelet reconstruction is carried out again, and one-dimensional wavelet reconstruction is carried out according to the bottom low frequency coefficient of wavelet decomposition and each high frequency coefficient;6)As a result wavelet inverse transformation is carried out according to the high frequency section obtained after new low frequency part and particle temperature signal graph wavelet decomposition and obtains that treated obtains particle temperature signal graph.This method complexity is low, and smoothing function is good, and the data handled are more accurate, and the noise of signal is greatly reduced, error smaller.

Description

The method for improving particle temperature measurement accuracy
Technical field
The present invention relates to a kind of methods improving particle temperature measurement accuracy, are carried with wavelet analysis more particularly, to one kind The method of high particle temperature the measuring precision.
Background technology
Particulate matter is the system of the complicated unordered accumulation of particle, in nature, engineering construction and industrial production extensively In the presence of, particulate matter flows under external force, shows the property of fluid, forms particle stream, such as clast stream disaster, Desert, rivers silt, snowslide and pebble bed reactor etc..Particle temperature (Granular temperature, < δ v2> it) is used to The active degree for indicating particle disordered motion, by reference to the analysis method of the dense gas theory of molecular motion heterogeneous, Grain random motion and the warm-up movement of gas molecule are comparable, and particle is described due to random pulse caused by collision with particle temperature, The size of particle temperature illustrates the power of particle speed pulsation, and particle temperature is higher, stronger, the particle temperature of particle speed pulsation Definition be:
Wherein m is total particle number, viFor the movement velocity of i-th of particle,For the average speed of whole particles movement.
During particle temperature measures, when particulate matter movement is slower, particle temperature value at this time is relatively low easy It is interfered by noise signal, such as fluid bed self vibration and the noise that generates, the noise that ambient light interference generates, detector itself Noise etc., therefore how to reduce noise, improve the problem that system signal noise ratio is in the urgent need to address at present.
Wavelet transformation is an international Disciplinary Frontiers for rising upsurge in the world in recent ten years, it is the office of spatio-temporal frequency Portionization is analyzed, and has good distinguishing simultaneously in time domain and frequency domain, can be in different scales using multiscale analysis method The local feature of lower observation signal different accuracy has apparent advantage in terms of denoising, not only can remove noise, but also can be fine Reservation original signal essential characteristic.
Invention content
The present invention is directed to low-speed motion particle stream poor problem of noise in particle temperature measurement process, proposes a kind of The method for improving particle temperature measurement accuracy, this method carries out reduction noise based on the noise-removed technology of wavelet transformation, and retains The useful information of the overwhelming majority, the signal-to-noise ratio and measurement accuracy of system are improved with this.
To achieve the above object, the technical solution adopted by the present invention is:A method of particle temperature measurement accuracy is improved, Include the following steps:
1) decomposition using one-dimensional wavelet analysis to particle temperature data-signal, particle temperature have the signal made an uproar to be expressed as x (k)=f (k) integer of+e (k), k=0,1 ..., n-1, x (k) are noisy particle temperature signal, and f (k) is useful Grain temperature signal, e (k) are noise signal, and e (k) is 1 grade of white Gaussian noise, is usually expressed as high-frequency signal, and f (k) is The particle temperature signal of low frequency either some more stable particle temperature signals, then select a wavelet function and determination The level of decomposition, then carry out decomposition computation;
2) wavelet transformation decomposition is carried out to primary granule temperature data, obtains a low frequency part and several high frequency section;
3) high frequency section after particle temperature datagram wavelet decomposition is retained constant;
4) threshold value quantizing of wavelet decomposition high frequency coefficient, under each decomposition scale high frequency coefficient select a threshold value into Row soft-threshold quantification treatment;
5) wavelet reconstruction and then is again carried out, is carried out according to the bottom low frequency coefficient of wavelet decomposition and each high frequency coefficient one-dimensional Wavelet reconstruction;
6) result is carried out according to the high frequency section after obtaining new low frequency part and particle temperature signal graph wavelet decomposition Wavelet inverse transformation obtains that treated obtains particle temperature signal graph.
The step 3) specifically includes:High frequency section after the particle temperature signal graph wavelet decomposition is retained not Become;Linear transformation is carried out to low resolution particle temperature data-signal figure, utilizes the wavelet coefficient and numerical relation of low frequency part Adaptive amplitude enhancing, obtains new low frequency part.
The step 4) specifically includes:Wavelet analysis carries out thresholding method, using given threshold value denoising method, During actual denoising, threshold value can usually be obtained by empirical equation, and this threshold value is than the threshold value of acquiescence Confidence level and accuracy want high, and the measurement accuracy of particle temperature system is improved with this.
The beneficial effects of the invention are as follows:
A kind of method complexity of raising particle temperature measurement accuracy based on wavelet transformation proposed by the present invention is low, smoothly Better function, the data that processing all obtains are more accurate, and the noise of signal is greatly reduced, error smaller.
Description of the drawings
Fig. 1 is the particle temperature provided in an embodiment of the present invention improved based on wavelet transformation used in the measuring precision method The algorithm flow chart of signal decomposition.
Specific implementation mode
The present invention is further illustrated with embodiment below in conjunction with the accompanying drawings.
The present invention uses Mallat algorithm decomposition textures, and Mallat algorithms are by S.Mallat and Y.Meyer in the preceding National People's Congress It was proposed in 1986 on the basis of amount work, the conceptive multi-resolution characteristics that small echo is figuratively illustrated from space, with The descending variation of scale, a kind of algorithm of the different characteristic of observation image that can be from thick to thin on each scale.At this The basic principle of Mallat algorithms in invention is to be decomposed in the process to signal, and decomposition obtains low-frequency information and high frequency Information, low-frequency information are the slow parts of variation, account for the major part of all information, and high-frequency information is the rapid part of variation, it What is reflected is the detailed information of signal, accounts for the fraction of all information.It is that first layer decomposes above.Handle on the basis of first layer Low-frequency information part is decomposed into two parts again:Low frequency+high frequency.Third layer is that the second layer is decomposited the low-frequency information come to be decomposed into Low frequency+high frequency ... and so on.It is multi-resolution decomposition above, high frequency section without decomposing again.If single scale decomposes, meeting High frequency section is decomposed in layer as low frequency part.It can be obtained in decomposition computation, on measurement accuracy scale, by It is small in signal-to-noise ratio, the groundwork to be done be maximize eliminate these noises, while again can be as possible reservation original signal structure Information, opposite, on big scale, because signal-to-noise ratio is big, the correlation of data structure is stronger, can not also do noise filter Wave processing, then can retain initial data as possible, this of wavelet transformation is similar to adaptive method for processing noise, in song In line smoothing process, it can effectively inhibit noise and ensure high undistorted property.According to uncertainty principle, for appointing Anticipate scale, wavelets Subspace showed when be invariable for frequency window ara, scale increases, then window width when corresponding Degree is multiplied.
Specific embodiment described herein is used only for explaining the present invention rather than limitation of the invention.In addition it also needs It is noted that for ease of description, only some but not all contents related to the present invention are shown in the drawings, unless otherwise Definition, all technical and scientific terms used herein and the those skilled in the art for belonging to the present invention are normally understood Meaning is identical.Term used herein is intended merely to description specific embodiment, it is not intended that in the limitation present invention.
(1) it please refers to shown in Fig. 1, Fig. 1 is the raising systematic survey essence provided in an embodiment of the present invention based on wavelet transformation The flow chart of the particle temperature signal decomposition of algorithm used in degree method.
(2) in the present embodiment the method for the raising particle temperature technology measurement accuracy based on wavelet transformation specifically include it is as follows Step:
Step 1, the decomposition using one-dimensional wavelet analysis to particle temperature data-signal, particle temperature have the signal made an uproar to indicate For the integer of x (k)=f (k)+e (k), k=0,1 ..., n-1, x (k) is noisy particle temperature signal, and f (k) is useful Particle temperature signal, e (k) are noise signal, and e (k) is 1 grade of white Gaussian noise, is usually expressed as high-frequency signal, and f (k) For particle temperature signal either some more stable particle temperature signals of low frequency, a wavelet function and true is then selected Surely the level decomposed, then carry out decomposition computation;
Step 2 carries out wavelet transformation decomposition to the primary granule temperature data, obtains a low frequency part and several high Frequency part.
Step 3, the high frequency section obtained after particle temperature signal graph wavelet decomposition is retained it is constant.In this implementation The high frequency section obtained after particle temperature signal graph wavelet decomposition is retained in example constant;To particle temperature signal graph into Row linear transformation is enhanced using the adaptive amplitude of the wavelet coefficient and numerical relation of low frequency part, obtains new low frequency part.
The threshold value quantizing of step 4, wavelet decomposition high frequency coefficient selects a threshold to the high frequency coefficient under each decomposition scale Value carries out soft-threshold quantification treatment, and wavelet analysis carries out thresholding method, using given threshold value denoising method, in reality Denoising during, threshold value can usually be obtained by empirical equation, and this threshold value is than the confidence level of the threshold value of acquiescence It wants high with accuracy, the measurement accuracy of system is improved with this.
Step 5 and then wavelet reconstruction is carried out again, carried out according to the bottom low frequency coefficient of wavelet decomposition and each high frequency coefficient One-dimensional wavelet reconstruction.
Step 6 is carried out according to the high frequency section after acquisition new low frequency part and particle temperature signal graph wavelet decomposition Wavelet inverse transformation obtains treated particle temperature signal graph.
A kind of method complexity of raising particle temperature technology measurement accuracy based on wavelet transformation proposed by the present invention is low, Smoothing function is good, low-pass filtering property is not present, the data of processing are more accurate, the error smaller of acquisition.The foregoing is merely The preferred embodiment of the present invention is not intended to restrict the invention, and to those skilled in the art, the present invention can have various Modifications and changes.
One of ordinary skill in the art will appreciate that realizing all or part of flow in above-described embodiment method, being can be with Relevant software is instructed to complete by computer program, the program can be stored in a computer read/write memory medium In, the program is when being executed, it may include such as the flow of the embodiment of above-mentioned each method.

Claims (3)

1. a kind of method improving particle temperature measurement accuracy, which is characterized in that include the following steps:
1) using decomposition of the one-dimensional wavelet analysis to particle temperature data-signal, particle temperature have the signal made an uproar be expressed as x (k)= The integer of f (k)+e (k), k=0,1 ..., n-1, x (k) are noisy particle temperature signal, and f (k) is useful particle temperature Signal, e (k) are noise signal, and e (k) is 1 grade of white Gaussian noise, are usually expressed as high-frequency signal, and f (k) is low frequency Then particle temperature signal either some more stable particle temperature signals select a wavelet function and determine decomposition Level, then carry out decomposition computation;
2) wavelet transformation decomposition is carried out to primary granule temperature data, obtains a low frequency part and several high frequency section;
3) high frequency section after particle temperature datagram wavelet decomposition is retained constant;
4) threshold value quantizing of wavelet decomposition high frequency coefficient selects a threshold value to carry out the high frequency coefficient under each decomposition scale soft Threshold value quantizing processing;
5) wavelet reconstruction and then is again carried out, one-dimensional small echo is carried out according to the bottom low frequency coefficient of wavelet decomposition and each high frequency coefficient Reconstruct;
6) result carries out small echo according to the high frequency section after obtaining new low frequency part and particle temperature signal graph wavelet decomposition Inverse transformation obtains that treated obtains particle temperature signal graph.
2. the method according to claim 1 for improving particle temperature measurement accuracy, it is characterised in that:The step 3) is specific Including:High frequency section after the particle temperature signal graph wavelet decomposition is retained constant;To low resolution particle temperature Data-signal figure carries out linear transformation, is enhanced using the adaptive amplitude of the wavelet coefficient and numerical relation of low frequency part, obtains new Low frequency part.
3. the method according to claim 1 for improving particle temperature measurement accuracy, it is characterised in that:The step 4) is specific Including:Wavelet analysis carries out thresholding method, using given threshold value denoising method, in actual denoising process In, threshold value can usually be obtained by empirical equation, and this threshold value is higher than the confidence level of the threshold value of acquiescence and accuracy, with This improves the measurement accuracy of particle temperature system.
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CN105004278A (en) * 2015-07-10 2015-10-28 东南大学 Real-time base line and denoising processing method based on distributed sensing and wavelet analyzing technologies
CN106441288A (en) * 2016-08-31 2017-02-22 北斗时空信息技术(北京)有限公司 Adaptive wavelet denoising method for accelerometer
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Patent Citations (5)

* Cited by examiner, † Cited by third party
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JP2010145258A (en) * 2008-12-19 2010-07-01 Yazaki Corp Gas analyzer
CN103076028A (en) * 2013-01-21 2013-05-01 新疆美特智能安全工程股份有限公司 Wavelet de-noising method of optical-phase vibration
CN105004278A (en) * 2015-07-10 2015-10-28 东南大学 Real-time base line and denoising processing method based on distributed sensing and wavelet analyzing technologies
CN106441288A (en) * 2016-08-31 2017-02-22 北斗时空信息技术(北京)有限公司 Adaptive wavelet denoising method for accelerometer
CN107481193A (en) * 2017-08-21 2017-12-15 叶军 A kind of image interpolation method based on wavelet transformation

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Application publication date: 20180824