CN105467374B - Object detection method based on prewhitening ratio cell average detector under sea clutter background - Google Patents

Object detection method based on prewhitening ratio cell average detector under sea clutter background Download PDF

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CN105467374B
CN105467374B CN201610012175.3A CN201610012175A CN105467374B CN 105467374 B CN105467374 B CN 105467374B CN 201610012175 A CN201610012175 A CN 201610012175A CN 105467374 B CN105467374 B CN 105467374B
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detection
observation vector
target
unit
reference unit
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CN105467374A (en
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水鹏朗
张坤
许述文
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Xidian University
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Xidian University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/41Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00 using analysis of echo signal for target characterisation; Target signature; Target cross-section
    • G01S7/414Discriminating targets with respect to background clutter

Abstract

The invention discloses the object detection method based on prewhitening ratio cell average detector under a kind of sea clutter background.Its technical scheme is:Build the observation vector z of the detection unit and observation vector z of reference unit in radar return datak(k=1,2 ..., P), and maximum likelihood estimate is utilized, obtain the estimate of the normalization sample covariance matrix of this P+1 observation vectorUtilizeTo z and zkAlbefaction is carried out, obtains the observation vector of detection unit after albefactionWith the observation vector of reference unitCalculateMean power e andMean power ek;Utilize ekSeek the mean power of P reference unitUsing e andCalculate detection statistic ξ;Judge that target whether there is using detection statistic ξ and the detection threshold T set.The present invention improves the detection performance of target, available for the target detection under sea clutter background.

Description

Object detection method based on prewhitening ratio cell average detector under sea clutter background
Technical field
The invention belongs to Radar Targets'Detection technical field, and in particular to prewhitening ratio is based under a kind of sea clutter background The object detection method of cell average detector, available for the target detection under sea clutter background.
Background technology
In the case that high-resolution radar is operated in small grazing angle, sea clutter shows stronger non-Gaussian feature, can To simulate sea clutter using complex Gaussian model.According to sea clutter complex Gaussian model, sea clutter is described as speckle component With the product of texture component.Speckle component meets zero-mean complex Gaussian process, related to the Bragg scatterings become soon;Texture component Related to the texture information that radar illumination sea becomes slowly for non-negative random process, coherence time is about 100ms.Early in previous generation Record the forties, CFAR has been just the important research content in radar signal processing field.At present, existing phase in the world To a whole set of CFAR etection theories and method of maturation." Hu Wenlin airborne radar constant false alarm rates detection algorithm studies [D] to document Xi'an:Xian Electronics Science and Technology University, 2007. " the middle ratio cell average detectors introduced, is averaged using the sampled value of reference unit Method estimate the power level of background clutter.The use of this method has two important hypotheses:Detection unit clutter Statistical property it is identical with the statistical property of reference unit;It is separate between detection unit and reference unit.But in reality In the environment of border, because the echo-signal that radar receives has stronger correlation, second hypotheses can not meet, cause The performance degradation of the equal value detection method of ratio.
The content of the invention
It is an object of the invention to the deficiency for above-mentioned prior art, proposes to be based on prewhitening under a kind of sea clutter background The object detection method of ratio cell average detector, to improve the detection performance under sea clutter background.
To realize above-mentioned technical purpose, technical scheme includes as follows:
(1) number of echoes formed by surface scattering is received using radar transmitter transmitting pulse signal, radar receiver According to the observation vector z of the detection unit and observation vector z of reference unit in structure echo datakFor:
K=1,2 ..., P
Wherein, H0Represent to only have clutter in the absence of target it is assumed that H1It is indicating clutter and target be present it is assumed that c is represented The sea clutter vector of detection unit, ckThe sea clutter vector of reference unit is represented, s represents target echo signal, and P is represented with reference to single First number;
(2) utilize maximum Likelihood, obtain the observation vector z and reference unit of detection unit in echo data Observation vector zkNormalization sample covariance matrix estimate
(3) estimate for normalizing sample covariance matrix is utilizedRespectively to the sight of detection unit in echo data Direction finding amount z and reference unit observation vector zkAlbefaction is carried out, obtains the observation vector of the detection unit after albefactionAfter albefaction Reference unit observation vector
(4) assume to have clutter and target be present, calculate the observation vector of detection unit after albefactionMean power e and white The observation vector of reference unit after changeMean power ek, according to mean power e and ek, calculate test statistics ξ:
Wherein,Represent the mean power of the observation vector of P reference unit;
(5) false-alarm probability P is setfa, calculate corresponding detection threshold T;
(6) by detection statistic ξ compared with detection threshold T, judge that target whether there is in detection unit:If ξ >=T, illustrate that detection unit has target, if ξ < T, illustrate no target.
The present invention has advantages below compared with prior art:
1) because the present invention is directed to the correlation of sea clutter, albefaction is carried out to sea clutter using whitening approach before detection, Improve the detection performance of subsequent detectors.
2), can be adaptive because the present invention is using clutter data real-time update sea clutter normalization sample covariance matrix With detection environment in noise performance match, more preferable detection performance can be obtained.
Brief description of the drawings
Fig. 1 is the implementation process figure of the present invention;
Fig. 2 is the target detection probability of the emulation data obtained with of the invention and existing ratio cell average detector in different letters The miscellaneous comparison diagram than under.
Embodiment
The invention will be further described below in conjunction with the accompanying drawings:
Reference picture 1, step is as follows for of the invention realizing:
Step 1, the observation vector z of the detection unit and observation vector z of reference unit in echo data is builtk
Radar transmitter launches pulse signal, and radar receiver receives the echo data formed by surface scattering, this time Wave number is according to being to include the three-dimensional data that distance is tieed up, the peacekeeping pulse of ripple position is tieed up, and each apart from peacekeeping ripple position, dimension forms one and differentiates list Member;
A resolution cell is arbitrarily chosen in echo data as detection unit, and P are chosen around detection unit Resolution cell is as reference unit;
Build the observation vector z of the detection unit and observation vector z of reference unit in echo datak:
When detection unit only has clutter, and target is not present, z=c, zk=ck,
When detection unit has clutter and target be present, z=s+c, zk=ck, i.e.,:
K=1,2 ..., P<1>
Wherein, H0Represent to only have clutter in the absence of target it is assumed that H1It is indicating clutter and target be present it is assumed that c is represented The sea clutter vector of detection unit, ckThe sea clutter vector of reference unit is represented, s represents target echo signal, and P is represented with reference to single First number.
Step 2, using maximum Likelihood, the observation vector z of detection unit in echo data is obtained and with reference to single The observation vector z of memberkNormalization sample covariance matrix estimate
(2.1) assume to have clutter and target be present, by the observation vector z of detection unit in echo data and reference unit Observation vector zkIt is normalized respectively, obtains the observation vector of normalized detection unitWith the ginseng of power normalization Examine the observation vector of unit
K=1,2 ..., P<2>
Wherein, P > 2N, N are accumulation umber of pulse;
(2.2) according to above-mentionedCalculate the covariance matrix M of P power normalization reference unit:
K=1,2 ..., P<3>
Wherein, ()HTo take conjugate transposition, M dimension is N × N;
(2.3) according to above-mentioned covariance matrix M, calculateWithJoint probability density function
<4>
(2.4) by joint probability density functionNatural logrithm is taken, obtains log-likelihood function
<5>
(2.5) by log-likelihood functionTo M derivations, and it is zero to make derivative, obtains estimating for sample covariance matrix Evaluation
<6>
(2.6) by (2.1)WithSubstitute into the estimate of above-mentioned sample covariance matrixObtain normalizing sample The estimate of this covariance matrix
<7>
Step 3, the observation vector of the detection unit after albefaction is calculatedWith the observation vector of the reference unit after albefaction
Due to having phase in echo data between detection unit and reference unit and between reference unit and reference unit Closing property to detection unit and reference unit, it is necessary to carry out albefaction before detection using whitening approach, i.e., using normalizing sample association The estimate of variance matrixSight to reference unit in the observation vector z and echo data of detection unit in echo data Direction finding amount zkAlbefaction is carried out respectively;
Albefaction is carried out to the observation vector z of detection unit, obtains the observation vector after albefaction
<8>
To the observation vector z of reference unitkAlbefaction is carried out, obtains the observation vector after albefaction
<9>
Step 4, test statistics ξ is calculated.
(4.1) assume to have clutter and target be present, calculate the observation vector of the detection unit after albefactionMean power e:
<10>
(4.2) assume to have clutter and target be present, calculate the observation vector of the reference unit after albefactionMean power ek
<11>
(4.3) mean power of the observation vector of P reference unit is calculated
<12>
(4.4) formula is utilized<10>With<12>Calculate test statistics ξ:
<13>
Step 5, false-alarm probability P is setfa, calculate corresponding detection threshold T.
Detection threshold T is calculated by Monte Carlo experiment, and its step is as follows:
(5.1) natural number for being more than 1 for making C be setting, the detection statistic ξ of the 1st target is calculated1To the C target Detection statistic ξC
(5.2) C obtained detection statistic is arranged in descending order, the C target detection statistic after descending arrangement In, take [[CPfa]] individual element value is as detection threshold T, [[CPfa]] represent to be no more than real number CPfaMaximum integer.
Step 6, by detection statistic ξ compared with detection threshold T, judge that target whether there is in detection unit.Such as Fruit ξ >=T, then judge that detection unit has target, if ξ < T, judge that detection unit does not have target.
The effect of the present invention is described further with reference to emulation experiment.
1. simulation parameter
The emulation data used in experiment is the three-dimensional datas including distance dimension, ripple position peacekeeping pulse dimension, each distance dimension Tieed up with ripple position and form a resolution cell, wherein apart from dimension 1600, ripple position dimension 600, pulse dimension 5;Signal to noise ratio SCR=[- 10dB, 30dB], false-alarm probability Pfa=10-4
2. emulation experiment content
The inventive method is respectively adopted in emulation experiment, existing ratio cell average detector is detected to emulation data, led to The Detection results of two kinds of detection methods of detection probability com-parison and analysis are crossed, detection probability shows that more greatly detector detection performance is better.
Emulation experiment step:
First, the transformation range for setting signal to noise ratio is SCR=[- 10dB, 30dB];
Then, 10000 different resolution cells are randomly selected in data are emulated, and are added on each resolution cell The echo signal of corresponding signal to noise ratio;
Finally, under the conditions of different signals to noise ratio, using of the invention and existing ratio cell average detector to above-mentioned 10000 points Distinguish that unit carries out target detection, the detection probability for obtaining of the invention and existing ratio cell average detector is bent with the change of signal to noise ratio Line, as a result as shown in Fig. 2 transverse axis represents signal to noise ratio in Fig. 2, the longitudinal axis represents detection probability.
Figure it is seen that the target based on prewhitening ratio cell average detector under sea clutter background proposed by the present invention The detection performance of detection method is substantially better than the detection performance of existing ratio cell average detector.

Claims (2)

1. the object detection method based on prewhitening ratio cell average detector under sea clutter background, it is characterised in that including:
(1) echo data formed by surface scattering, structure are received using radar transmitter transmitting pulse signal, radar receiver Build the observation vector z of detection unit in echo data and the observation vector z of reference unitkFor:
Wherein, H0Represent to only have clutter in the absence of target it is assumed that H1It is indicating clutter and target be present it is assumed that c represents detection The sea clutter vector of unit, ckThe sea clutter vector of reference unit is represented, s represents target echo signal, and P represents number of reference Mesh;
(2) maximum Likelihood is utilized, obtains observation vector z and the observation of reference unit of detection unit in echo data Vectorial zkNormalization sample covariance matrix estimate
(2.1) assume there is clutter and target be present, by the observation vector z of detection unit in echo data and the observation of reference unit Vectorial zkPower normalization processing is carried out respectively, obtains the observation vector of the detection unit of power normalizationAnd power normalization Reference unit observation vector
Wherein, P > 2N, N are accumulation umber of pulse;
(2.2) according to above-mentionedCalculate the covariance matrix M of P power normalization reference unit:
Wherein, ()HTo take conjugate transposition, M dimension is N × N;
(2.3) according to above-mentioned covariance matrix M, calculateWithJoint probability density function
(2.4) by joint probability density functionNatural logrithm is taken, obtains log-likelihood function
(2.5) by log-likelihood functionTo M derivations, and it is zero to make derivative, obtains the estimate of sample covariance matrix
(2.6) by (2.1)WithSubstitute into the estimate of above-mentioned sample covariance matrixObtain normalizing sample association The estimate of variance matrix
(3) estimate for normalizing sample covariance matrix is utilizedRespectively the observation to detection unit in echo data to Measure the observation vector z of z and reference unitkAlbefaction is carried out, obtains the observation vector of the detection unit after albefactionWith the ginseng after albefaction Examine the observation vector of unit
(4) assume to have clutter and target be present, calculate the observation vector of detection unit after albefactionMean power e and albefaction after The observation vector of reference unitMean power ek, according to the two mean powers e and ek, calculate detection statistic ξ:
Wherein,The mean power of the observation vector of P reference unit is represented,N To accumulate umber of pulse;
(5) false-alarm probability P is setfa, calculate corresponding detection threshold T;
(6) by detection statistic ξ compared with detection threshold T, judge that target whether there is in detection unit:If ξ >=T, Then judge that detection unit has target, if ξ < T, judge that detection unit does not have target.
2. the object detection method based on prewhitening ratio cell average detector under sea clutter background as claimed in claim 1, its It is characterised by, false-alarm probability P is set in the step 5fa, corresponding detection threshold T is calculated, is carried out as follows:
(5.1) C is set as the natural number more than 1, calculates the detection statistic ξ of the 1st target1To the detection system of the C target Measure ξC
(5.2) C obtained detection statistic is arranged in descending order, in the C target detection statistic after descending arrangement, taken [CPfa] individual element value is as detection threshold T, [CPfa] represent to be no more than real number CPfaMaximum integer.
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