CN104794358A - Parameter estimation and fitting method for collecting supporting point frequency in vibrating wire mode - Google Patents
Parameter estimation and fitting method for collecting supporting point frequency in vibrating wire mode Download PDFInfo
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- CN104794358A CN104794358A CN201510212237.0A CN201510212237A CN104794358A CN 104794358 A CN104794358 A CN 104794358A CN 201510212237 A CN201510212237 A CN 201510212237A CN 104794358 A CN104794358 A CN 104794358A
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Abstract
The invention discloses a parameter estimation and fitting method for collecting supporting point frequency in a vibrating wire mode. The method comprises the following steps that a stepping value is set, and collecting supporting points are measured to obtain a plurality of sets of frequency values; the frequency values obtained through measurement are calculated, and an average frequency value and a variance estimator are obtained; a frequency fitting function is constructed, the minimum value of a mean square error is calculated, and a fitting frequency functional equation is determined; a mean square error is calculated, a quadratic equation of the frequency fitting function is obtained through fitting, a correlation coefficient and mean absolute deviation are obtained through the quadratic equation of the frequency fitting function, and a frequency fitting curve is constructed; compared with the frequency fitting curve, whether errors exist in the frequency values of the collecting supporting points under the current stepping value or not is analyzed. The precision of fitting can be further improved, the fitting curve is generated, the frequency values can be corrected in time, and therefore the method can be used in the process of determining the parameters of the collecting supporting points of a communication network well.
Description
Technical field
The present invention relates to a kind of parameter estimation and the approximating method that prop up dot frequency for type vibration wire collection, belong to communication and sensing technology technical field.
Background technology
Sensor Network (WSN) is concentrated-distributed data acquisition, transmission and treatment technology in the network system of one, with its low cost, microminiaturization, low-power consumption with the feature such as networking mode, paving mode and applicable moving target is in widespread attention flexibly.Internet of Things by the panoramic sensor node spread on each corner and object and the Sensor Network be made up of them, carrys out perception whole intramundane just.
Along with the development of Sensor Network technology, its network application formed is made up of a large amount of sensing net node, in the process of information Perception, adopt each node individual transmission data to be infeasible to the method for aggregation node, need to adopt data fusion and intellectual technology to process.Because have mass of redundancy data in network, communication bandwidth and energy resource can be wasted.In addition, collecting efficiency and the promptness of data can also be reduced.
For in each parameter calculation procedure of nodes, under many circumstances, acquire a lot of sample point to reflect truth as far as possible, the number of times causing interpolation polynomial f (x) is very high, this increases not only the calculated amount of function, and have impact on approximation ratio; Besides because interpolation polynomial is through each actual measurement sampling point, will measuring error be retained like this, thus affect the precision of fitting function, not easily reflect the funtcional relationship of real data.
Therefore, in the frequency measuring process for collection fulcrum, what often rely on is sensor measurement mode, directly obtains the frequency of inclination angle fulcrum thus, and, carry out analysis on the basis of measured value after measurements are taken and obtain corresponding conclusion.This also brings some problems, due to the aging of equipment or between coordinate undertighten, the frequency measured easily is made to there is error, cannot automatically estimate and matching the parameter measured, reduce the precision of measurement, and cannot the frequency measured by inclination angle be corrected, the frequency values gathering fulcrum gained is thus not accurate, is not easy for the analysis of data.
Summary of the invention
Technical matters to be solved by this invention is to overcome the deficiencies in the prior art, a kind of parameter estimation and the approximating method that prop up dot frequency for type vibration wire collection are provided, the frequency measurement solving existing collection fulcrum gained is forbidden, and cannot automatically estimate and the problem of matching the parameter measured.
The present invention specifically solves the problems of the technologies described above by the following technical solutions:
Prop up parameter estimation and the approximating method of dot frequency for type vibration wire collection, comprise the following steps:
Step 1, setting step value, measure collection fulcrum and obtain some class frequency values;
Step 2, to measure obtain some class frequency values calculate, obtain average frequency value and variance evaluation amount;
Step 3, structure frequency fitting function, calculate square error minimum value determination matching frequency function equation;
Step 4, the matching of calculating mean square deviation obtain the quadratic equation of frequency fitting function, obtain related coefficient and mean absolute deviation, build frequency matched curve by the quadratic equation of frequency fitting function;
Step 5, the matched curve of contrast frequency, whether the frequency values analyzing the collection fulcrum under current step value exists error.
Further, as a preferred technical solution of the present invention: described step 5 also comprises the some class frequency values formation figures that will measure.
As a preferred technical solution of the present invention: described step 3 utilizes least square method to obtaining related coefficient and mean absolute deviation carries out curve fitting.
As a preferred technical solution of the present invention: described step 1 adopts the method for segmentation value to set three step values, obtains three class frequency values.
As a preferred technical solution of the present invention: described step 5 also comprises and the matched curve of photograph frequency being shown.
The present invention adopts technique scheme, can produce following technique effect:
(1), parameter estimation and the approximating method propping up dot frequency for type vibration wire collection provided by the invention, many class frequencys value is obtained by continuous coverage, calculate on this basis, and in conjunction with data to carrying out parameter estimation and matching, quadratic fit is carried out after obtaining fitting function, the precision of further raising matching, then generates matched curve.Make can be corrected timely at frequency values.The frequency measurement solving existing collection fulcrum gained is forbidden, and automatically cannot estimate and the problem of matching the parameter measured, can well be used for thus in the deterministic process of collection fulcrum parameter of communication network.
(2), further, for the ease of gathering the parameter estimation procedure of fulcrum, can also comprise and the some class frequency values measured are formed figure, utilizing the data of checking measurement of graph direct, be supplied to user on this basis to check, be convenient to the distribution situation intuitively understanding frequency.
Accompanying drawing explanation
Fig. 1 of the present inventionly props up the parameter estimation of dot frequency and the schematic flow sheet of approximating method for type vibration wire collection.
Embodiment
Below in conjunction with Figure of description, embodiments of the present invention are described.
As shown in Figure 1, a kind of parameter estimation and approximating method propping up dot frequency for type vibration wire collection of the present invention, comprises the following steps:
Step 1, setting step value, measure collection fulcrum and obtain some class frequency values;
Step 2, to measure obtain some class frequency values calculate, obtain average frequency value and variance evaluation amount;
Step 3, structure frequency fitting function, calculate square error minimum value determination matching frequency function equation;
Step 4, the matching of calculating mean square deviation obtain the quadratic equation of frequency fitting function, obtain related coefficient and mean absolute deviation, build frequency matched curve by the quadratic equation of frequency fitting function;
Step 5, the matched curve of contrast frequency, whether the frequency values analyzing the collection fulcrum under current step value exists error.
Thus, obtain many class frequencys value by continuous coverage, calculate on this basis, and in conjunction with data to carrying out parameter estimation and matching, after obtaining fitting function, carry out quadratic fit, improve the precision of matching further, then generate matched curve.Make can be corrected timely at frequency values.
In order to verify that parameter estimation of the present invention and approximating method can realize gathering the frequency correction of fulcrum, below enumerate an embodiment and be described, embodiment is as follows:
The present invention adopts frequency measuring count-er, as: the frequency counter of Agilent model: 53131A, its measurement range: 225M, 1.5G, 3G, 5G or 12.4G(Hz), accuracy: 500ps, input signal amplitude: ± 5(V), the scope of application: input impedance 1M Ω or 50 Ω, 225 MHz bandwidth are 10 or 12 bit resolutions during 1 second gate time, and while the new reading of acquisition, analyze data, to obtain higher measurement throughput in conjunction with Real-time digital signal processing technology.Thus, accurately can measure fast and easily, export electric signal.
The present embodiment is that stepping is measured the frequency gathering fulcrum with the frequency counter of this model with 100Hz at 400Hz-6000Hz frequency band, records the frequency values gathering fulcrum and is respectively f1, f2, f3..fn.This step can adopt the method for segmentation value to set three step values, obtains three class frequency values, three concrete segment frequency value respectively: 400Hz-2000Hz, 2000Hz-3400Hz, 3400Hz-6000Hz, namely can obtain f1, f2, f3.
Under this step, can also comprise and the some class frequency values formation figures measured are supplied to user.For the ease of gathering the parameter estimation procedure of fulcrum, can also comprise and the some class frequency values measured are formed figure, utilizing the data of checking measurement of graph direct, be supplied to user on this basis and check, be convenient to the distribution situation intuitively understanding frequency.
To measuring the frequency values f1 obtained, f2, f3..fn calculate, and are obtained the mean value of frequency by formula (1), as follows:
f=（f1+f2+f3..+fn）/n (1)
Wherein, f is average frequency value, and n is the frequency values number measured.
Then, variance evaluation is carried out to multiple frequency values that obtains, obtain variance evaluation amount.Wherein, can the method determination estimator of utilization index distribution average, its process asks second derivative to obtain distribution average for adopting exponential type function.
Secondly, frequency fitting function is built.The frequency fitting a straight line function that can build, as follows:
f=a+bx (2)
Wherein, a, b are the parameter of function, and f is frequency values, and x is step value.
Straight line by fitting function, by calculating square error Q (a, b) minimum value determination matching frequency function equation.According to matching, obtain concrete matching frequency function straight-line equation.
On this matching frequency function straight-line equation basis, calculate the quadratic equation that mean square deviation matching obtains frequency fitting function.Namely adopting quadratic fit, obtaining corresponding quadratic equation, as equation can be by calculating square error matching:
f=0.23+0.09x+ 0.001x* x (3)
By in above-mentioned formula, can obtain related coefficient is 0.23, and mean absolute deviation is 0.09, can build frequency matched curve thus.The present embodiment can adopt least square method to obtaining related coefficient and mean absolute deviation carries out curve fitting.
Its least square ratio juris is the optimal function coupling being found data by the quadratic sum of minimum error.Utilize least square method can try to achieve unknown data easily, and between the data that these are tried to achieve and real data, the quadratic sum of error is minimum.Least square method polynomial curve fitting, be then according to given m point, do not require that this curve accurately passes through these points, but curve of approximation y=φ (x) of curve y=f (x).Its derivation can adopt multiple method of the prior art to carry out, and realizes its function.Obtain matched curve thus and show.
The frequency values that can obtain gathering fulcrum according to frequency matching produces skew in the measurements, and pendulous frequency is more, and error is more obvious.But under matched curve, rational frequency values can be obtained.Thus, whether the frequency values analyzing the collection fulcrum under current step value exists error, frequency values corresponding to the step value under matched curve with measure the frequency value difference obtained larger time, show to there is error, and error is larger.Frequency values corresponding to the step value under matched curve with measure the frequency value difference obtained less time, show to there is error, but and error is less, show that the collection of actual measurement props up dot frequency at zone of reasonableness.
To sum up, parameter estimation and the approximating method propping up dot frequency for type vibration wire collection provided by the invention, many class frequencys value is obtained by continuous coverage, calculate on this basis, and in conjunction with data to carrying out parameter estimation and matching, carry out quadratic fit after obtaining fitting function, improve the precision of matching further, then generate matched curve.Make can be corrected timely at frequency values.The frequency measurement solving existing collection fulcrum gained is forbidden, and automatically cannot estimate and the problem of matching the parameter measured, can well be used for thus in the deterministic process of collection fulcrum parameter of communication network.
By reference to the accompanying drawings embodiments of the present invention are explained in detail above, but the present invention is not limited to above-mentioned embodiment, in the ken that those of ordinary skill in the art possess, can also makes a variety of changes under the prerequisite not departing from present inventive concept.
Claims (5)
1. prop up parameter estimation and the approximating method of dot frequency for type vibration wire collection, it is characterized in that, comprise the following steps:
Step 1, setting step value, measure collection fulcrum and obtain some class frequency values;
Step 2, to measure obtain some class frequency values calculate, obtain average frequency value and variance evaluation amount;
Step 3, structure frequency fitting function, calculate square error minimum value determination matching frequency function equation;
Step 4, the matching of calculating mean square deviation obtain the quadratic equation of frequency fitting function, obtain related coefficient and mean absolute deviation, build frequency matched curve by the quadratic equation of frequency fitting function;
Step 5, the matched curve of contrast frequency, whether the frequency values analyzing the collection fulcrum under current step value exists error.
2. prop up parameter estimation and the approximating method of dot frequency according to claim 1 for type vibration wire collection, it is characterized in that: described step 5 also comprises the some class frequency values formation figures that will measure.
3. prop up parameter estimation and the approximating method of dot frequency according to claim 1 for type vibration wire collection, it is characterized in that: described step 3 utilizes least square method to obtaining related coefficient and mean absolute deviation carries out curve fitting.
4. prop up parameter estimation and the approximating method of dot frequency according to claim 1 for type vibration wire collection, it is characterized in that: described step 1 adopts the method for segmentation value to set three step values, obtains three class frequency values.
5. prop up parameter estimation and the approximating method of dot frequency according to claim 1 for type vibration wire collection, it is characterized in that: described step 5 also comprises and the matched curve of photograph frequency being shown.
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| CN108226633A (en) * | 2018-01-02 | 2018-06-29 | 京东方科技集团股份有限公司 | Frequency detecting method and frequency detecting device |
| CN109270503A (en) * | 2018-07-13 | 2019-01-25 | 中国船舶重工集团公司第七〇九研究所 | A kind of frequency compensation method, power detection device and radar system |
| CN109656390A (en) * | 2018-12-06 | 2019-04-19 | 深圳市天美意科技有限公司 | The reference frequency automatic calibrating method of time writer |
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN108226633A (en) * | 2018-01-02 | 2018-06-29 | 京东方科技集团股份有限公司 | Frequency detecting method and frequency detecting device |
| CN109270503A (en) * | 2018-07-13 | 2019-01-25 | 中国船舶重工集团公司第七〇九研究所 | A kind of frequency compensation method, power detection device and radar system |
| CN109656390A (en) * | 2018-12-06 | 2019-04-19 | 深圳市天美意科技有限公司 | The reference frequency automatic calibrating method of time writer |
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Application publication date: 20150722 |