CN102183745A - Sea clutter forecasting system and method for intelligent radar - Google Patents

Sea clutter forecasting system and method for intelligent radar Download PDF

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CN102183745A
CN102183745A CN 201110050537 CN201110050537A CN102183745A CN 102183745 A CN102183745 A CN 102183745A CN 201110050537 CN201110050537 CN 201110050537 CN 201110050537 A CN201110050537 A CN 201110050537A CN 102183745 A CN102183745 A CN 102183745A
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sea clutter
training sample
radar
extra large
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CN102183745B (en
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刘兴高
闫正兵
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Zhejiang University ZJU
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Abstract

The invention provides a sea clutter forecasting system for intelligent radar, comprising a radar, a data base and an upper computer, wherein the radar, the data base and the upper computer are connected one by one; the radar is used for irradiating the sea to be detected and storing the sea clutter data in the data base; the upper computer comprises a data pre-processing module, a forecasting-model modeling module, a sea clutter forecasting module, a judging-model updating module and a result display module. The invention also provides a sea clutter forecasting method for intelligent radar. The invention provides a sea clutter forecasting system and a sea clutter forecasting method for intelligent radar, which are capable of being free from man-made affect and have high intelligence.

Description

A kind of intelligent Radar Sea clutter forecast system and method
Technical field
The present invention relates to the radar data process field, especially, relate to a kind of intelligent Radar Sea clutter forecast system and method.
Background technology
The sea clutter promptly comes from the backscattering echo on a slice sea of being shone by the radar emission signal.Because extra large clutter is to from the sea or near " point " target on sea, detectability as the radar return of targets such as maritime buoyage and floating afloat ice cube forms serious restriction, thereby therefore the research of extra large clutter has crucial influence to the detection performance of targets such as steamer in the marine background and has most important theories meaning and practical value.
Custom Shanghai clutter is regarded as single stochastic process, distributes as lognormal distribution, K etc.Yet these models all have its specific limitation in actual applications, and one of them major reason is that extra large clutter seems waveform at random, does not in fact have random distribution nature.
Summary of the invention
In order to overcome the shortcoming that traditional Radar Sea clutter forecasting procedure is subject to human factor influence, intelligent deficiency, the invention provides a kind of human factor influence, intelligent high intelligent Radar Sea clutter forecast system and method avoided.
The technical solution adopted for the present invention to solve the technical problems is:
A kind of intelligent Radar Sea clutter forecast system, comprise radar, database and host computer, radar, database and host computer link to each other successively, and described radar shines the detection marine site, and with Radar Sea clutter data storing to described database, described host computer comprises:
Data preprocessing module, in order to carry out the pre-service of Radar Sea clutter data, adopt following process to finish:
1) from database, gathers N Radar Sea clutter echoed signal amplitude x iAs training sample, i=1 ..., N;
2) training sample is carried out normalized, obtain the normalization amplitude
Figure BDA0000048648330000011
x ‾ i = x i - min x max x - min x
Wherein, minx represents the minimum value in the training sample, and maxx represents the maximal value in the training sample;
3), obtain input matrix X and corresponding output matrix Y respectively with the training sample reconstruct after the normalization:
X = x ‾ 1 x ‾ 2 L x ‾ D x ‾ 2 x ‾ 3 L x ‾ D + 1 M M O M x ‾ N - D x ‾ N - D + 1 L x ‾ N - 1
Y = x ‾ D + 1 x ‾ D + 2 M x ‾ N
Wherein, D represents the reconstruct dimension, and D is a natural number, and D<N, and the span of D is 50-70;
Robust forecasting model MBM, in order to set up forecasting model, adopt following process to finish:
With X, the following linear equation of Y substitution that obtains:
0 1 v T 1 v K + V γ b * α * = 0 Y
Wherein V γ = diag { 1 γv 1 , K , 1 γv M }
Weight factor v iCalculate by following formula:
Wherein
Figure BDA0000048648330000026
Be error variance ξ iThe estimation of standard deviation, c 1, c 2Be constant;
Find the solution to such an extent that treat estimation function f (x):
f ( x ) = Σ i = 1 M α i * exp ( - | | x - x i | | / θ 2 ) + b *
Wherein, M is the number of support vector, 1 v=[1 ..., 1] T,
Figure BDA0000048648330000028
The transposition of subscript T representing matrix, Be Lagrange multiplier, b *Be amount of bias, K=exp (|| x i-x j||/θ 2), i=1 wherein ..., M, j=1 ..., M,
Figure BDA00000486483300000210
And exp (|| x-x i||/θ 2) be the kernel function of support vector machine, x jBe j Radar Sea clutter echoed signal amplitude, θ is a nuclear parameter, and x represents input variable, and γ is a penalty coefficient;
Intelligence optimizing module is optimized the nuclear parameter θ and the penalty coefficient γ of robust forecasting model in order to adopt genetic algorithm, adopts following process to finish:
5.1) adopt real number coding method that θ and γ are encoded;
5.2) produce initial population at random;
5.3) calculate each individual fitness, and judge whether to meet the algorithm end condition, if meet, the optimum solution of output optimized individual and representative thereof, and finish to calculate, otherwise continue iteration;
5.4) adopt normal distribution probability to select individuality;
5.5) produce new individuality by the single-point linear crossing;
5.6) produce new individuality by even variation mode;
5.7) population of new generation that produces, return 5.3) carry out iteration;
Wherein, the initial population size is 50-200, maximum algebraically 50-300, it is 0.05-0.1 that optimized individual is selected probability, crossover probability is 0.5-0.9, the variation probability is 0.001-0.01, the extensive root-mean-square error of ideal adaptation degree preference pattern, and end condition is for reaching maximum algebraically or the five generations successively fitness is constant;
Sea clutter forecast module, in order to carry out extra large clutter prediction, adopt following process to finish:
1) gathers D extra large clutter echoed signal amplitude at sampling instant t and obtain TX=[x T-D+1, K, x t], x T-D+1The extra large clutter echoed signal amplitude of representing the t-D+1 sampling instant, x tThe extra large clutter echoed signal amplitude of representing the t sampling instant;
2) carry out normalized;
TX ‾ = TX - min x max x - min x
3) function f (x) that obtains of substitution robust forecasting model MBM calculates the extra large clutter predicted value of sampling instant (t+1).
As preferred a kind of scheme: described host computer also comprises: the discrimination model update module, in order to sampling time interval image data by setting, the measured data and the model prediction value that obtain are compared, if relative error is greater than 10%, then new data is added the training sample data, upgrade forecasting model.
As preferred another kind of scheme: described host computer also comprises: display module as a result shows at host computer in order to the predicted value that extra large clutter forecast module is calculated.
The employed Radar Sea clutter of a kind of intelligent Radar Sea clutter forecast system forecasting procedure, described method may further comprise the steps:
(1) from database, gathers N Radar Sea clutter echoed signal amplitude x iAs training sample, i=1 ..., N;
(2) training sample is carried out normalized, obtain the normalization amplitude
Figure BDA0000048648330000041
x ‾ i = x i - min x max x - min x
Wherein, minx represents the minimum value in the training sample, and maxx represents the maximal value in the training sample;
(3), obtain input matrix X and corresponding output matrix Y respectively with the training sample reconstruct after the normalization:
X = x ‾ 1 x ‾ 2 L x ‾ D x ‾ 2 x ‾ 3 L x ‾ D + 1 M M O M x ‾ N - D x ‾ N - D + 1 L x ‾ N - 1
Y = x ‾ D + 1 x ‾ D + 2 M x ‾ N
Wherein, D represents the reconstruct dimension, and D is a natural number, and D<N, and the span of D is 50-70;
(4) with the X, the following linear equation of Y substitution that obtain:
0 1 v T 1 v K + V γ b * α * = 0 Y
Wherein V γ = diag { 1 γv 1 , K , 1 γv M }
Weight factor v iCalculate by following formula:
Wherein
Figure BDA0000048648330000053
Be error variance ξ iThe estimation of standard deviation, c 1, c 2Be constant;
Find the solution to such an extent that treat estimation function f (x):
f ( x ) = Σ i = 1 M α i * exp ( - | | x - x i | | / θ 2 ) + b *
Wherein, M is the number of support vector, 1 v=[1 ..., 1] T,
Figure BDA0000048648330000055
The transposition of subscript T representing matrix,
Figure BDA0000048648330000056
Be Lagrange multiplier, b *Be amount of bias, K=exp (|| x i-x j||/θ 2), i=1 wherein ..., M, j=1 ..., M,
Figure BDA0000048648330000057
And exp (|| x-x i||/θ 2) be the kernel function of support vector machine, x jBe j Radar Sea clutter echoed signal amplitude, θ is a nuclear parameter, and x represents input variable, and γ is a penalty coefficient;
(5) be optimized with the nuclear parameter θ and the penalty coefficient γ of genetic algorithm, adopt following process to finish step (4):
5.1) adopt real number coding method that θ and γ are encoded;
5.2) produce initial population at random;
5.3) calculate each individual fitness, and judge whether to meet the algorithm end condition, if meet, the optimum solution of output optimized individual and representative thereof, and finish to calculate, otherwise continue iteration;
5.4) adopt normal distribution probability to select individuality;
5.5) produce new individuality by the single-point linear crossing;
5.6) produce new individuality by even variation mode;
5.7) population of new generation that produces, return 5.3) carry out iteration;
Wherein, the initial population size is 50-200, maximum algebraically 50-300, it is 0.05-0.1 that optimized individual is selected probability, crossover probability is 0.5-0.9, the variation probability is 0.001-0.01, the extensive root-mean-square error of ideal adaptation degree preference pattern, and end condition is for reaching maximum algebraically or the five generations successively fitness is constant;
(6) gather D extra large clutter echoed signal amplitude at sampling instant t and obtain TX=[x T-D+1, K, x t], x T-D+1The extra large clutter echoed signal amplitude of representing the t-D+1 sampling instant, x tThe extra large clutter echoed signal amplitude of representing the t sampling instant;
(7) carry out normalized;
TX ‾ = TX - min x max x - min x
(8) the estimation function f (x) that treats that substitution step (4) obtains calculates the extra large clutter predicted value of sampling instant (t+1).
As preferred a kind of scheme: described method also comprises:
(9), by the sampling time interval image data of setting, with the measured data that obtains and model prediction value relatively, if relative error greater than 10%, then adds new data the training sample data, the renewal forecasting model.
As preferred another kind of scheme: in described step (8), the extra large clutter predicted value that calculates is shown at host computer.
Technical conceive of the present invention is: the present invention is directed to the chaotic characteristic of Radar Sea clutter, Radar Sea clutter data are reconstructed, and the data after the reconstruct are carried out nonlinear fitting, introduce intelligent optimization method, thereby set up the intelligent forecasting model of Radar Sea clutter.
Beneficial effect of the present invention mainly shows: 1, set up Radar Sea clutter forecasting model, and can on-line prediction Radar Sea clutter; 2, used modeling method only needs less sample to get final product; 3, reduced artificial factor, intelligent height, strong robustness.
Description of drawings
Fig. 1 is the hardware structure diagram of system proposed by the invention;
Fig. 2 is the functional block diagram of host computer proposed by the invention.
Embodiment
Below in conjunction with accompanying drawing the present invention is further described.The embodiment of the invention is used for the present invention that explains, rather than limits the invention, and in the protection domain of spirit of the present invention and claim, any modification and change to the present invention makes all fall into protection scope of the present invention.
Embodiment 1
With reference to Fig. 1, Fig. 2, a kind of intelligent Radar Sea clutter forecast system, comprise database 2 that radar 1 connects, and host computer 3, radar 1, database 2 and host computer 3 link to each other successively, 1 pair of marine site of detecting of described radar is shone, and with Radar Sea clutter data storing to described database 2, described host computer 3 comprises:
Data preprocessing module 4, in order to carry out the pre-service of Radar Sea clutter data, adopt following process to finish:
1) from database, gathers N Radar Sea clutter echoed signal amplitude x iAs training sample, i=1 ..., N;
2) training sample is carried out normalized, obtain the normalization amplitude
Figure BDA0000048648330000071
x ‾ i = x i - min x max x - min x
Wherein, minx represents the minimum value in the training sample, and maxx represents the maximal value in the training sample;
3), obtain input matrix X and corresponding output matrix Y respectively with the training sample reconstruct after the normalization:
X = x ‾ 1 x ‾ 2 L x ‾ D x ‾ 2 x ‾ 3 L x ‾ D + 1 M M O M x ‾ N - D x ‾ N - D + 1 L x ‾ N - 1
Y = x ‾ D + 1 x ‾ D + 2 M x ‾ N
Wherein, D represents the reconstruct dimension, and D is a natural number, and D<N, and the span of D is 50-70;
Robust forecasting model MBM 5, in order to set up forecasting model, adopt following process to finish:
With X, the following linear equation of Y substitution that obtains:
0 1 v T 1 v K + V γ b * α * = 0 Y
Wherein V γ = diag { 1 γv 1 , K , 1 γv M }
Weight factor v iCalculate by following formula:
Wherein
Figure BDA0000048648330000084
Be error variance ξ iThe estimation of standard deviation, c 1, c 2Be constant
Find the solution to such an extent that treat estimation function f (x):
f ( x ) = Σ i = 1 M α i * exp ( - | | x - x i | | / θ 2 ) + b *
Wherein, M is the number of support vector, 1 v=[1 ..., 1] T,
Figure BDA0000048648330000086
The transposition of subscript T representing matrix,
Figure BDA0000048648330000087
Be Lagrange multiplier, b *Be amount of bias, K=exp (|| x i-x j||/θ 2), i=1 wherein ..., M, j=1 ..., M,
Figure BDA0000048648330000088
And exp (|| x-x i||/θ 2) be the kernel function of support vector machine, x jBe j Radar Sea clutter echoed signal amplitude, θ is a nuclear parameter, and x represents input variable, and γ is a penalty coefficient;
Intelligence optimizing module 6 is optimized the nuclear parameter θ and the penalty coefficient γ of robust forecasting model in order to adopt genetic algorithm, adopts following process to finish:
5.1) adopt real number coding method that θ and γ are encoded;
5.2) produce initial population at random;
5.3) calculate each individual fitness, and judge whether to meet the algorithm end condition, if meet, the optimum solution of output optimized individual and representative thereof, and finish to calculate, otherwise continue iteration;
5.4) adopt normal distribution probability to select individuality;
5.5) produce new individuality by the single-point linear crossing;
5.6) produce new individuality by even variation mode;
5.7) population of new generation that produces, return 5.3) carry out iteration;
Wherein, the initial population size is 50-200, maximum algebraically 50-300, it is 0.05-0.1 that optimized individual is selected probability, crossover probability is 0.5-0.9, the variation probability is 0.001-0.01, the extensive root-mean-square error of ideal adaptation degree preference pattern, and end condition is for reaching maximum algebraically or the five generations successively fitness is constant;
Sea clutter forecast module 7, in order to carry out extra large clutter prediction, adopt following process to finish:
1) gathers D extra large clutter echoed signal amplitude at sampling instant t and obtain TX=[x T-D+1, K, x t], x T-D+1The extra large clutter echoed signal amplitude of representing the t-D+1 sampling instant, x tThe extra large clutter echoed signal amplitude of representing the t sampling instant;
2) carry out normalized;
TX ‾ = TX - min x max x - min x
3) function f (x) that obtains of substitution robust forecasting model MBM obtains the extra large clutter predicted value of sampling instant (t+1).
Described host computer 3 also comprises: discrimination model update module 8, in order to by the sampling time interval image data of setting, measured data and the model prediction value that obtains compared, if relative error is greater than 10%, then new data is added the training sample data, upgrade forecasting model.
Described host computer 3 also comprises: display module 9 as a result, show at host computer in order to the predicted value that extra large clutter forecast module is calculated.
The hardware components of described host computer 3 comprises: the I/O element is used for the collection of data and the transmission of information; Data-carrier store, data sample that storage running is required and operational factor etc.; Program storage, storage realizes the software program of functional module; Arithmetical unit, executive routine, the function of realization appointment; Display module shows the parameter and the operation result that are provided with.
Embodiment 2
With reference to Fig. 1, Fig. 2, a kind of intelligent Radar Sea clutter forecasting procedure, described method may further comprise the steps:
(1) from database, gathers N Radar Sea clutter echoed signal amplitude x iAs training sample, i=1 ..., N;
(2) training sample is carried out normalized, obtain the normalization amplitude
Figure BDA0000048648330000101
x ‾ i = x i - min x max x - min x
Wherein, minx represents the minimum value in the training sample, and maxx represents the maximal value in the training sample;
(3), obtain input matrix X and corresponding output matrix Y respectively with the training sample reconstruct after the normalization:
X = x ‾ 1 x ‾ 2 L x ‾ D x ‾ 2 x ‾ 3 L x ‾ D + 1 M M O M x ‾ N - D x ‾ N - D + 1 L x ‾ N - 1
Y = x ‾ D + 1 x ‾ D + 2 M x ‾ N
Wherein, D represents the reconstruct dimension, and D is a natural number, and D<N, and the span of D is 50-70;
(4) with the X, the following linear equation of Y substitution that obtain:
0 1 v T 1 v K + V γ b * α * = 0 Y
Wherein V γ = diag { 1 γv 1 , K , 1 γv M }
Weight factor v iCalculate by following formula:
Figure BDA0000048648330000107
Wherein
Figure BDA0000048648330000108
Be error variance ξ iThe estimation of standard deviation, c 1, c 2Be constant
Find the solution to such an extent that treat estimation function f (x):
f ( x ) = Σ i = 1 M α i * exp ( - | | x - x i | | / θ 2 ) + b *
Wherein, M is the number of support vector, 1 v=[1 ..., 1] T, The transposition of subscript T representing matrix,
Figure BDA0000048648330000113
Be Lagrange multiplier, b *Be amount of bias, K=exp (|| x i-x j||/θ 2), i=1 wherein ..., M, j=1 ..., M,
Figure BDA0000048648330000114
And exp (|| x-x i||/θ 2) be the kernel function of support vector machine, x jBe j Radar Sea clutter echoed signal amplitude, θ is a nuclear parameter, and x represents input variable, and γ is a penalty coefficient;
(5) be optimized with the nuclear parameter θ and the penalty coefficient γ of genetic algorithm, adopt following process to finish step (4):
5.1) adopt real number coding method that θ and γ are encoded;
5.2) produce initial population at random;
5.3) calculate each individual fitness, and judge whether to meet the algorithm end condition, if meet, the optimum solution of output optimized individual and representative thereof, and finish to calculate, otherwise continue iteration;
5.4) adopt normal distribution probability to select individuality;
5.5) produce new individuality by the single-point linear crossing;
5.6) produce new individuality by even variation mode;
5.7) population of new generation that produces, return 5.3) carry out iteration;
Wherein, the initial population size is 50-200, maximum algebraically 50-300, it is 0.05-0.1 that optimized individual is selected probability, crossover probability is 0.5-0.9, the variation probability is 0.001-0.01, the extensive root-mean-square error of ideal adaptation degree preference pattern, and end condition is for reaching maximum algebraically or the five generations successively fitness is constant;
(6) gather D extra large clutter echoed signal amplitude at sampling instant t and obtain TX=[x T-D+1, K, x t], x T-D+1The extra large clutter echoed signal amplitude of representing the t-D+1 sampling instant, x tThe extra large clutter echoed signal amplitude of representing the t sampling instant;
(7) carry out normalized;
TX ‾ = TX - min x max x - min x
(8) the estimation function f (x) that treats that substitution step (4) obtains calculates the extra large clutter predicted value of sampling instant (t+1);
Described method also comprises: (9), by the sampling time interval image data of setting, with the measured data that obtains and model prediction value relatively, if relative error greater than 10%, then adds new data the training sample data, the renewal forecasting model.
Described method also comprises: the extra large clutter predicted value that will calculate in described step (8) shows at host computer.

Claims (6)

1. intelligent Radar Sea clutter forecast system, comprise radar, database and host computer, radar, database and host computer link to each other successively, it is characterized in that: described radar shines the detection marine site, and with Radar Sea clutter data storing to described database, described host computer comprises:
Data preprocessing module, in order to carry out the pre-service of Radar Sea clutter data, adopt following process to finish:
1) from database, gathers N Radar Sea clutter echoed signal amplitude x iAs training sample, i=1 ..., N;
2) training sample is carried out normalized, obtain the normalization amplitude
Figure FDA0000048648320000011
x ‾ i = x i - min x max x - min x
Wherein, minx represents the minimum value in the training sample, and maxx represents the maximal value in the training sample;
3), obtain input matrix X and corresponding output matrix Y respectively with the training sample reconstruct after the normalization:
X = x ‾ 1 x ‾ 2 L x ‾ D x ‾ 2 x ‾ 3 L x ‾ D + 1 M M O M x ‾ N - D x ‾ N - D + 1 L x ‾ N - 1
Y = x ‾ D + 1 x ‾ D + 2 M x ‾ N
Wherein, D represents the reconstruct dimension, and D is a natural number, and D<N, and the span of D is 50-70;
Robust forecasting model MBM, in order to set up forecasting model, adopt following process to finish:
With X, the following linear equation of Y substitution that obtains:
0 1 v T 1 v K + V γ b * α * = 0 Y
Wherein V γ = diag { 1 γv 1 , K , 1 γv M }
Weight factor v iCalculate by following formula:
Figure FDA0000048648320000017
Wherein
Figure FDA0000048648320000018
Be error variance ξ iThe estimation of standard deviation, c 1, c 2Be constant;
Find the solution to such an extent that treat estimation function f (x):
f ( x ) = Σ i = 1 M α i * exp ( - | | x - x i | | / θ 2 ) + b *
Wherein, M is the number of support vector, 1 v=[1 ..., 1] T,
Figure FDA00000486483200000110
The transposition of subscript T representing matrix, Be Lagrange multiplier, b *Be amount of bias, K=exp (|| x i-x j||/θ 2), i=1 wherein ..., M, j=1 ..., M,
Figure FDA0000048648320000022
And exp (|| x-x i||/θ 2) be the kernel function of support vector machine, x jBe j Radar Sea clutter echoed signal amplitude, θ is a nuclear parameter, and x represents input variable, and γ is a penalty coefficient;
Intelligence optimizing module is optimized the nuclear parameter θ and the penalty coefficient γ of robust forecasting model in order to adopt genetic algorithm, adopts following process to finish:
5.1) adopt real number coding method that θ and γ are encoded;
5.2) produce initial population at random;
5.3) calculate each individual fitness, and judge whether to meet the algorithm end condition, if meet, the optimum solution of output optimized individual and representative thereof, and finish to calculate, otherwise continue iteration;
5.4) adopt normal distribution probability to select individuality;
5.5) produce new individuality by the single-point linear crossing;
5.6) produce new individuality by even variation mode;
5.7) population of new generation that produces, return 5.3) carry out iteration;
Wherein, the initial population size is 50-200, maximum algebraically 50-300, it is 0.05-0.1 that optimized individual is selected probability, crossover probability is 0.5-0.9, the variation probability is 0.001-0.01, the extensive root-mean-square error of ideal adaptation degree preference pattern, and end condition is for reaching maximum algebraically or the five generations successively fitness is constant;
Sea clutter forecast module, in order to carry out extra large clutter prediction, adopt following process to finish:
1) gathers D extra large clutter echoed signal amplitude at sampling instant t and obtain TX=[x T-D+1, K, x t], x T-D+1The extra large clutter echoed signal amplitude of representing the t-D+1 sampling instant, x tThe extra large clutter echoed signal amplitude of representing the t sampling instant;
2) carry out normalized;
TX ‾ = TX - min x max x - min x
3) the estimation function f (x) that treats that substitution robust forecasting model MBM obtains calculates the extra large clutter predicted value of sampling instant (t+1).
2. intelligent Radar Sea clutter forecast system as claimed in claim 1, it is characterized in that: described host computer also comprises: the discrimination model update module, in order to sampling time interval image data by setting, the measured data and the model prediction value that obtain are compared, if relative error is greater than 10%, then new data is added the training sample data, upgrade forecasting model.
3. intelligent Radar Sea clutter forecast system as claimed in claim 1 or 2, it is characterized in that: described host computer also comprises: display module as a result shows at host computer in order to the predicted value that extra large clutter forecast module is calculated.
4. the employed Radar Sea clutter of intelligent Radar Sea clutter forecast system as claimed in claim 1 forecasting procedure, it is characterized in that: described method may further comprise the steps:
(1) from database, gathers N Radar Sea clutter echoed signal amplitude x iAs training sample, i=1 ..., N;
(2) training sample is carried out normalized, obtain the normalization amplitude
Figure FDA0000048648320000024
x ‾ i = x i - min x max x - min x
Wherein, minx represents the minimum value in the training sample, and maxx represents the maximal value in the training sample;
(3), obtain input matrix X and corresponding output matrix Y respectively with the training sample reconstruct after the normalization:
X = x ‾ 1 x ‾ 2 L x ‾ D x ‾ 2 x ‾ 3 L x ‾ D + 1 M M O M x ‾ N - D x ‾ N - D + 1 L x ‾ N - 1
Y = x ‾ D + 1 x ‾ D + 2 M x ‾ N
Wherein, D represents the reconstruct dimension, and D is a natural number, and D<N, and the span of D is 50-70;
(4) with the X, the following linear equation of Y substitution that obtain:
0 1 v T 1 v K + V γ b * α * = 0 Y
Wherein V γ = diag { 1 γv 1 , K , 1 γv M }
Weight factor v iCalculate by following formula:
Figure FDA0000048648320000035
Wherein
Figure FDA0000048648320000036
Be error variance ξ iThe estimation of standard deviation, c 1, c 2Be constant;
Find the solution to such an extent that treat estimation function f (x):
f ( x ) = Σ i = 1 M α i * exp ( - | | x - x i | | / θ 2 ) + b *
Wherein, M is the number of support vector, 1 v=[1 ..., 1] T,
Figure FDA0000048648320000038
The transposition of subscript T representing matrix,
Figure FDA0000048648320000039
Be Lagrange multiplier, b *Be amount of bias, K=exp (|| x i-x j||/θ 2), i=1 wherein ..., M, j=1 ..., M,
Figure FDA00000486483200000310
And exp (|| x-x i||/θ 2) be the kernel function of support vector machine, x jBe j Radar Sea clutter echoed signal amplitude, θ is a nuclear parameter, and x represents input variable, and γ is a penalty coefficient;
(5) be optimized with the nuclear parameter θ and the penalty coefficient γ of genetic algorithm, adopt following process to finish step (4):
5.1) adopt real number coding method that θ and γ are encoded;
5.2) produce initial population at random;
5.3) calculate each individual fitness, and judge whether to meet the algorithm end condition, if meet, the optimum solution of output optimized individual and representative thereof, and finish to calculate, otherwise continue iteration;
5.4) adopt normal distribution probability to select individuality;
5.5) produce new individuality by the single-point linear crossing;
5.6) produce new individuality by even variation mode;
5.7) population of new generation that produces, return 5.3) carry out iteration;
Wherein, the initial population size is 50-200, maximum algebraically 50-300, it is 0.05-0.1 that optimized individual is selected probability, crossover probability is 0.5-0.9, the variation probability is 0.001-0.01, the extensive root-mean-square error of ideal adaptation degree preference pattern, and end condition is for reaching maximum algebraically or the five generations successively fitness is constant;
(6) gather D extra large clutter echoed signal amplitude at sampling instant t and obtain TX=[x T-D+1, K, x t], x T-D+1The extra large clutter echoed signal amplitude of representing the t-D+1 sampling instant, x tThe extra large clutter echoed signal amplitude of representing the t sampling instant;
(7) carry out normalized;
TX ‾ = TX - min x max x - min x
(8) the estimation function f (x) that treats that substitution step (4) obtains calculates the extra large clutter predicted value of sampling instant (t+1).
5. Radar Sea clutter forecasting procedure as claimed in claim 4, it is characterized in that: described method also comprises: (9), by the sampling time interval image data of setting, the measured data and the model prediction value that obtain are compared, if relative error is greater than 10%, then new data is added the training sample data, upgrade forecasting model.
6. as claim 4 or 5 described Radar Sea clutter forecasting procedures, it is characterized in that: in described step (8), the extra large clutter predicted value that calculates is shown at host computer.
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