CN105606146A - Non-linear correction technology - Google Patents
Non-linear correction technology Download PDFInfo
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- CN105606146A CN105606146A CN201610135592.7A CN201610135592A CN105606146A CN 105606146 A CN105606146 A CN 105606146A CN 201610135592 A CN201610135592 A CN 201610135592A CN 105606146 A CN105606146 A CN 105606146A
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- 238000012937 correction Methods 0.000 title claims abstract description 21
- 238000005516 engineering process Methods 0.000 title abstract description 8
- 238000000034 method Methods 0.000 claims abstract description 26
- 238000012545 processing Methods 0.000 claims abstract description 10
- 230000000694 effects Effects 0.000 claims abstract description 8
- 238000007689 inspection Methods 0.000 claims description 4
- 238000005457 optimization Methods 0.000 claims description 4
- 238000004088 simulation Methods 0.000 claims description 4
- 238000011017 operating method Methods 0.000 claims description 2
- 238000001514 detection method Methods 0.000 abstract description 5
- 238000013461 design Methods 0.000 description 3
- 238000005259 measurement Methods 0.000 description 2
- 239000012141 concentrate Substances 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000003672 processing method Methods 0.000 description 1
- 238000011160 research Methods 0.000 description 1
- 238000012360 testing method Methods 0.000 description 1
Classifications
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01D—MEASURING NOT SPECIALLY ADAPTED FOR A SPECIFIC VARIABLE; ARRANGEMENTS FOR MEASURING TWO OR MORE VARIABLES NOT COVERED IN A SINGLE OTHER SUBCLASS; TARIFF METERING APPARATUS; MEASURING OR TESTING NOT OTHERWISE PROVIDED FOR
- G01D18/00—Testing or calibrating apparatus or arrangements provided for in groups G01D1/00 - G01D15/00
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- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Indication And Recording Devices For Special Purposes And Tariff Metering Devices (AREA)
Abstract
The invention discloses a non-linear correction technology. The non-linear correction technology comprises the following operation steps: A) accessing an instrument to be detected to a standard signal source; B) according to the range of the instrument, setting multi ranges to perform calibration; C) recording the input measured values under each range standard; D) deducting the linear characteristic, calculating the non-linear characteristic, and using a cubic spline interpolation method to calculate a fitting coefficient; E) writing the recorded cubic spline fitting coefficient into the digital processing process of the instrument, and performing non-linear correction on the data acquired by the instrument; F) verifying the result acquired by the instrument again; and G) calculating the non-linear value of the instrument after correction. The non-linear correction technology is an important correction method for instruments for vibration, noise and intensity detection, and for sensor processing, and can improve the non-linearity index of a product. The non-linear correction technology can correct the non-linearity index of a component, and can compare favorably with the effect using a component with high performance, high index and high price.
Description
Technical field
The invention belongs to technical field of measurement and test, particularly a kind of non-linear correction technique, is applicable to vibration, noise, strongThe optimization method of detection, measuring instrument and the sensors such as degree.
Background technology
The detections such as China's vibration at present,, noise, intensity, measuring instrument have had considerable at aspects such as research, design, applicationProgressive, but mainly concentrate on low and middle-end field, for detection and the internationally famous enterprise of small-signal and wide range signalCompare, still have no small gap, especially in machine with wide range, the linearity linearity index of signal does not reach and world workThe requirement of comparing of name instrument. Especially developed country limits the components and parts of part high-performance, high target, further leadsCausing modification can be difficult to improve.
Summary of the invention
Object of the present invention will solve the problems of the technologies described above.
The object of the present invention is achieved like this: a kind of non-linear correction technique, is characterized in that: comprise following operation stepSuddenly,
A), by instrument access standard signal source to be detected;
B), be divided into many grades according to instrument range and demarcate, wherein must comprise null value, forward input, negative sense input, split intoSome shelves are measured respectively;
C), record the measured value of each grade of standard input, gather [actual value Xi, measured value Yi] data pair, complete collection mouldIntend the measured signal collection of circuit;
D), deduction linear character, calculate nonlinear characteristic, calculate fitting coefficient by cubic spline interpolation method, i.e. employingThe method on kink border calculates fitting coefficient, and concrete step is:
1., least square method meter carries out linear fit, guarantees the quadratic sum of errorMinimum;
2., digital simulation value [Xi, Zi] value;
3., obtain three moments euqation
And boundary condition
，
Obtain cubic spline coefficient;
E), by the Cubic Spline Fitting coefficient of record, write the digital processing process of instrument, carry out non-to the data of instrument collectionLinear revise;
F), the result of instrument collection is checked again:
Input above-mentioned stepping standard value with standard signal source, record the measured value through Nonlinear Processing, inspection cubic splineFitting effect;
G), calculate the non-linear value of revised instrument:
1., non-linearly reach designing requirement, nonlinear optimization completes;
If 2. in a certain scope, non-linearly still exceed designing requirement, add maximum non-linear standard value, from steps A) openBegin to re-start non-linear correction, reach designing requirement until non-linear.
Described steps A) be specially sensor access shake table to be detected.
The present invention is instrument and meter to vibration, noise, intensity detection and an important correction side of sensor processingMethod, has improved the nonlinearity index of product; Adopt after the present invention without the superelevation price of buying again part high-performance, high targetExternal chip, using under the prerequisite of existing components and parts, provide a kind of supple-settlement technology, can be to the nonlinearity of components and partsIndex is revised, and can realize and the effect that uses the components and parts of high-performance, high target, high price to compare favourably, and significantly reducesDesign cost, realize simply, improved the competitiveness of product, apply and there is good economic and social benefit.
Brief description of the drawings
Fig. 1 is flow chart of the present invention.
Fig. 2 is measured data and the normal data comparing result of the embodiment of the present invention one.
Fig. 3 is normal data and the linear fit Data Comparison result of the embodiment of the present invention one.
Fig. 4 is the Data Comparison result of normal data and the Cubic Spline Fitting of the embodiment of the present invention one.
Detailed description of the invention
Below in conjunction with accompanying drawing, the invention will be further described, but not as limitation of the present invention:
A kind of non-linear correction technique, is characterized in that: comprise following operating procedure,
A), by instrument access standard signal source to be detected;
B), be divided into many grades according to instrument range and demarcate, wherein must comprise null value, forward input, negative sense input, split intoSome shelves are measured respectively;
C), record the measured value of each grade of standard input, gather [actual value Xi, measured value Yi] data pair, complete collection mouldIntend the measured signal collection of circuit;
D), deduction linear character, calculate nonlinear characteristic, calculate fitting coefficient by cubic spline interpolation method, i.e. employingThe method on kink border calculates fitting coefficient, and concrete step is:
1., least square method meter carries out linear fit, guarantees the quadratic sum of errorMinimum;
2., digital simulation value [Xi, Zi] value;
3., obtain three moments euqation
And boundary condition
，
Obtain cubic spline coefficient;
E), by the Cubic Spline Fitting coefficient of record, write the digital processing process of instrument, carry out non-to the data of instrument collectionLinear revise;
F), the result of instrument collection is checked again:
Input above-mentioned stepping standard value with standard signal source, record the measured value through Nonlinear Processing, inspection cubic splineFitting effect;
G), calculate the non-linear value of revised instrument:
1., non-linearly reach designing requirement, nonlinear optimization completes;
If 2. in a certain scope, non-linearly still exceed designing requirement, add maximum non-linear standard value, from steps A) openBegin to re-start non-linear correction, reach designing requirement until non-linear; Described steps A) be specially sensing to be detectedDevice access shake table.
When concrete enforcement, gather the measured signal of analog circuit (components and parts combinational circuit), deduction linear character, calculatesNonlinear characteristic, calculates fitting coefficient by cubic spline interpolation method (adopt kink border), writes the digital circuit of instrumentOr software collection part, repeatedly iteration, realizes the object that reduces nonlinearity;
Basic step of the present invention is as follows:
A), gather [actual value Xi, measured value Yi] data pair;
B), least square method meter carries out linear fit, guarantees the quadratic sum of errorMinimum;
C), digital simulation value [Xi, Zi] value;
D), obtain three moments euqation
And boundary condition
，
Obtain cubic spline coefficient;
E), calculate through the measurement nonlinear indicator after nonlinear fitting for the first time;
If not f) linearity does not reach requirement, repeat a)～e) process, until complete non-linear correction;
Because the nonlinear characteristic of components and parts all has similitude, be also that instrument or the sensor of same type adopts same set of sideMethod can realize similar effect, so, can realize the object that reduces nonlinearity.
Embodiment mono-, by instrument and meter access standard signal source (sensor access shake table) to be detected, according to instrument(sensor) range is divided into many grades to be demarcated, and wherein must comprise the input of null value, forward, negative sense input, split into altogether 15～Measure respectively for 31 grades, record the measured value of each grade of standard input,
Measured value is as shown in the table:
By above-mentioned [standard value, measured value] data pair that record, with matlab order, envelope carries out Cubic Spline Fitting, noteThe lower Cubic Spline Fitting coefficient of record;
By the Cubic Spline Fitting coefficient of record, write the digital processing process of instrument and meter (as DSP, FPGA, software pretreatmentDeng), the data of instrument and meter/sensor collection are carried out to non-linear correction;
Result to the collection of instrument and meter/sensor is checked again: input above-mentioned stepping standard with standard signal source/shake tableValue, records the measured value through Nonlinear Processing, inspection Cubic Spline Fitting effect;
Calculate the non-linear value of revised instrument and meter/sensor, if in a certain scope, non-linear still exceed design wantAsk, add maximum non-linear standard value, start to re-start non-linear correction from the first step, reach design until non-linear and wantAsk;
As shown in Figure 2, measured data and normal data comparing result figure;
As shown in Figure 3, normal data and linear fit Data Comparison result;
As shown in Figure 4, the Data Comparison result of normal data and Cubic Spline Fitting;
As can be seen here, the present invention has effect clearly to the nonlinear indicator of lowering apparatus instrument/sensor.
The above embodiment of the present invention, be only clearly illustrate that the present invention does for example, but be not used for limiting thisBright protection domain, all technical schemes that are equal to also belong to category of the present invention, and scope of patent protection of the present invention should be by respectivelyItem claim limits.
Claims (2)
1. a non-linear correction technique, is characterized in that: comprise following operating procedure,
A), by instrument access standard signal source to be detected;
B), be divided into many grades according to instrument range and demarcate, wherein must comprise null value, forward input, negative sense input, split intoSome shelves are measured respectively;
C), record the measured value of each grade of standard input, gather [actual value Xi, measured value Yi] data pair, complete collection mouldIntend the measured signal collection of circuit;
D), deduction linear character, calculate nonlinear characteristic, calculate fitting coefficient by cubic spline interpolation method, i.e. employingThe method on kink border calculates fitting coefficient, and concrete step is:
1., least square method meter carries out linear fit, guarantees the quadratic sum of errorMinimum;
2., digital simulation value [Xi, Zi] value;
3., obtain three moments euqation
And boundary condition
，
Obtain cubic spline coefficient;
E), by the Cubic Spline Fitting coefficient of record, write the digital processing process of instrument, carry out non-to the data of instrument collectionLinear revise;
F), the result of instrument collection is checked again:
Input above-mentioned stepping standard value with standard signal source, record the measured value through Nonlinear Processing, inspection cubic splineFitting effect;
G), calculate the non-linear value of revised instrument:
1., non-linearly reach designing requirement, nonlinear optimization completes;
If 2. in a certain scope, non-linearly still exceed designing requirement, add maximum non-linear standard value, from steps A) openBegin to re-start non-linear correction, reach designing requirement until non-linear.
2. the non-linear correction technique of one according to claim 1, is characterized in that: described steps A) be specially and will treatThe sensor access shake table detecting.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610135592.7A CN105606146A (en) | 2016-03-10 | 2016-03-10 | Non-linear correction technology |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610135592.7A CN105606146A (en) | 2016-03-10 | 2016-03-10 | Non-linear correction technology |
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| CN105606146A true CN105606146A (en) | 2016-05-25 |
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| CN201610135592.7A Pending CN105606146A (en) | 2016-03-10 | 2016-03-10 | Non-linear correction technology |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110750915A (en) * | 2019-10-30 | 2020-02-04 | 中国科学技术大学 | On-line correction method of measurement system based on segmented Spline fitting |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH06201399A (en) * | 1993-01-08 | 1994-07-19 | Sharp Corp | Standard signal correcting device |
| US20080191128A1 (en) * | 2006-12-31 | 2008-08-14 | Nuctech Company Limited | Method of Identifying the Energy Range of Radiation from Radioactive Material and System for Detecting the Same |
| CN101281556A (en) * | 2008-03-19 | 2008-10-08 | 谢步明 | Analysis process method of train fault data |
| CN103142211A (en) * | 2011-12-07 | 2013-06-12 | 同济大学 | Heart magnetic signal processing method based on extreme value circle |
| CN105222839A (en) * | 2015-08-21 | 2016-01-06 | 宁波市鹏盛科技发展有限公司 | The Nonlinearity Correction Method of ultrasonic flow meter instrument coefficient |
-
2016
- 2016-03-10 CN CN201610135592.7A patent/CN105606146A/en active Pending
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH06201399A (en) * | 1993-01-08 | 1994-07-19 | Sharp Corp | Standard signal correcting device |
| US20080191128A1 (en) * | 2006-12-31 | 2008-08-14 | Nuctech Company Limited | Method of Identifying the Energy Range of Radiation from Radioactive Material and System for Detecting the Same |
| CN101281556A (en) * | 2008-03-19 | 2008-10-08 | 谢步明 | Analysis process method of train fault data |
| CN103142211A (en) * | 2011-12-07 | 2013-06-12 | 同济大学 | Heart magnetic signal processing method based on extreme value circle |
| CN105222839A (en) * | 2015-08-21 | 2016-01-06 | 宁波市鹏盛科技发展有限公司 | The Nonlinearity Correction Method of ultrasonic flow meter instrument coefficient |
Non-Patent Citations (1)
| Title |
|---|
| 李新等: "三次样条插值在称重仪表误差补偿中的应用", 《电子设计工程》 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110750915A (en) * | 2019-10-30 | 2020-02-04 | 中国科学技术大学 | On-line correction method of measurement system based on segmented Spline fitting |
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Application publication date: 20160525 |