CN103809173B - Frame CFAR target detection Tracking Integrative method - Google Patents
Frame CFAR target detection Tracking Integrative method Download PDFInfo
- Publication number
- CN103809173B CN103809173B CN201410070414.1A CN201410070414A CN103809173B CN 103809173 B CN103809173 B CN 103809173B CN 201410070414 A CN201410070414 A CN 201410070414A CN 103809173 B CN103809173 B CN 103809173B
- Authority
- CN
- China
- Prior art keywords
- target
- kth
- kth frame
- frame
- frame target
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO 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
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/66—Radar-tracking systems; Analogous systems
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO 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
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/41—Details 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
- G01S7/411—Identification of targets based on measurements of radar reflectivity
- G01S7/412—Identification of targets based on measurements of radar reflectivity based on a comparison between measured values and known or stored values
Abstract
The invention discloses a kind of frame CFAR target detection Tracking Integrative method, mainly solve the problem that prior art target detection probability is lower, target following distance is shorter.Its implementation procedure is: the Initial state estimation value and the Initial state estimation covariance matrix that 1) are obtained target by Track initialization algorithm; 2) according to kth-1 frame Target state estimator value and kth-1 frame state estimate covariance matrix, kth frame target prediction ripple door is determined; 3) false-alarm probability and the detection threshold of each detecting unit of kth frame target prediction Bo Mennei is calculated; 4) echoed signal of target prediction Bo Mennei is detected, and estimating target parameter, survey data acquisition as kth frame amount; 5) survey data acquisition to kth frame amount to associate and filtering, obtain kth frame Target state estimator value and kth frame state estimate covariance matrix.The present invention, compared with existing detecting and tracking method, improves the detection probability of target, extends the tracking range of target.
Description
Technical field
The invention belongs to Radar Technology field, a kind of detecting and tracking method utilizing target prediction information adjustment aim to predict each detecting unit false-alarm probability of Bo Mennei specifically, target detection probability is improved, Extended target tracking range under can be used for radar target tracking state.
Background technology
Modern radar system comprises two large modules usually, i.e. signal processing module and data processing module.The target information detected, as first time process, is sent into radar data processing module and is done further process by Radar Signal Processing module.The operations such as radar data processing module carries out predicting after obtaining the estimators such as the position of target, kinematic parameter, associate, filtering, thus certain inhibiting effect is played to the stochastic error in radar measurement process, it is more accurate to make the estimation of target travel information, and forms stable objects flight path.
Target detection is the important step of Radar Signal Processing module, main task processes the echoed signal that radar receives, and judge the presence or absence of target, due to the impact of Noise and Interference, need to adopt CFAR Methods to reduce the probability of erroneous judgement, ensure that Radar Signal Detection has CFAR characteristic, conventional CFAR detection algorithm comprises CA-CFAR, order statistic CFAR, Generalized Likelihood Ratio, adaptive matched filter etc.
Target following is based on detecting the target position information obtained, being followed the tracks of out the flight path of target by filtering continuously.In target tracking algorism, mainly contain linear autoregression filtering, 2 extrapolation filtering, Wiener filtering, Weighted linear regression, alpha-beta filtering and Kalman filtering etc., wherein Kalman filtering can be used for linear time varying system, its distortion EKF, converted measurement Kalman filtering and unscented kalman filter can be used for nonlinear and time-varying system, statistical model all adopts state equation and measurement equation, and filtering equations calculates in the mode of recursion, and calculated amount is little, practical, therefore in target following theory, account for leading position.
Target following carries out on the basis of target detection, and high detection perform can ensure the initial fast of targetpath, and the detection perform of difference can cause the end of targetpath, and therefore the detection perform of target directly affects the tracking performance of target.For traditional detecting and tracking treatment scheme, first carry out target detection and estimating target motion parameter, after obtaining measurement information, send into radar data processing module, then carry out predicting, associate, the process such as filtering, realize the detection and tracking to target.When target echo signal to noise ratio (S/N ratio) is lower, target detection probability is lower, will cause the uncontinuity of targetpath, easily causes flight path to terminate prematurely, and thus target following distance is shorter.
Summary of the invention
The object of the invention is to the deficiency for above-mentioned prior art, propose a kind of frame CFAR target detection Tracking Integrative method, under guarantee does not produce the condition of false track, the false-alarm probability of each detecting unit of adjustment aim prediction Bo Mennei, thus the detection probability of target under raising tracking mode, the tracking range of Extended target.
For achieving the above object, the present invention includes following technical step:
1) initiation parameter: by targetpath start algorithm could, obtains the Initial state estimation value of targetpath
and Initial state estimation covariance matrix P
0;
2) target setting state transition equation and radar measurement equation, according to kth-1 frame Target state estimator value
calculate kth frame dbjective state predicted value
with the predicted value that kth frame target measures
3) according to kth-1 frame state estimate covariance matrix P
k-1with step 2) the kth frame dbjective state predicted value that obtains
calculate the prediction covariance matrix D that kth frame target measures
k|k-1;
4) according to step 2) predicted value that measures of the kth frame target that obtains
with the prediction covariance matrix D of the kth frame target measurement that step 3) obtains
k|k-1, determine kth frame target prediction ripple door O
k;
5) there is the probability P of false-alarm in the target prediction Bo Mennei being set at least N frame in the tracing process of continuous N frame
f, then following formula is utilized to calculate kth frame target prediction ripple door O
kinside there is the probability P of false-alarm
z:
N represents that in the tracing process of continuous N frame, the possible frame number of false-alarm appears in target prediction Bo Mennei, symbol wherein! Represent factorial computing, the value of M, N need meet M > N >=1;
6) according to the kth frame target prediction ripple door O that step 5) obtains
kinside there is the probability P of false-alarm
z, calculate kth frame target prediction ripple door O
kthe false-alarm probability of each detecting unit interior and detection threshold;
7) according to the kth frame target prediction ripple door O that step 6) obtains
kthe detection threshold of each detecting unit interior, to kth frame target prediction ripple door O
kinterior echoed signal detects, and estimating target parameter, survey data acquisition Z (k) as kth frame amount;
8) the kth frame amount obtained according to step 7) surveys data acquisition Z (k), utilizes association algorithm to filter out kth frame and effectively measures set Z
k, choose kth frame and effectively measure set Z
kin the metric data the highest with track association degree, and utilize track algorithm to calculate kth frame Target state estimator value
and kth frame state estimate covariance matrix P
k, return step 2).
The present invention is due in the false-alarm probability process calculating each detecting unit of target prediction Bo Mennei, consider the information of forecasting of target and the suppression problem of false track, namely ensure that the probability P of false-alarm appears in the target prediction Bo Mennei of at least N frame in the tracing process of continuous N frame
f, there is the probability P of false-alarm in each frame constant
z, thus calculate false-alarm probability and the detection threshold of each detecting unit of target prediction Bo Mennei, therefore have the following advantages:
(1) detection threshold of target prediction Bo Mennei is lower than the detection threshold of traditional detection tracking, improves the detection probability of target;
(2) in low signal-to-noise ratio situation, still there is higher detection probability, improve the continuity of targetpath, avoid targetpath and terminate prematurely, extend the tracking range of target;
(3) when target suddenly disappears, flight path correctly can terminate with very high probability, avoids the generation of false track.
Accompanying drawing explanation
Fig. 1 is workflow diagram of the present invention;
Fig. 2 is the detection perform comparison diagram of the present invention and traditional detection tracking;
Fig. 3 is the detection range comparison diagram of the present invention and traditional detection tracking;
Fig. 4 is the target probability graph that each frame targetpath exists when the 10th frame disappears.
Embodiment
With reference to Fig. 1, performing step of the present invention is as follows:
Step 1, initiation parameter: by targetpath start algorithm could, obtains the Initial state estimation value of targetpath
and Initial state estimation covariance matrix P
0.
Step 2, target setting state transition equation and radar measurement equation, according to kth-1 frame Target state estimator value
calculate kth frame dbjective state predicted value
with the predicted value that kth frame target measures
2a) target setting state transition equation is:
x
k=F
k-1x
k-1+v
k-1,
Wherein, x
krepresent the state of kth frame target, F
k-1represent the state-transition matrix of kth-1 frame target, x
k-1represent the state of kth-1 frame target, v
k-1represent the process noise of kth-1 frame, F in this example
k-1adopt following form:
Wherein, Δ T represents the radar scanning cycle, gets Δ T=2s in this example.
2b) setting radar measurement equation is:
z
k=h
k(x
k)+w
k,
Wherein, z
krepresent the measuring value of kth frame target, h
k() represents the measurement function of kth frame target, w
krepresent the measurement noise of kth frame;
2c) according to kth-1 frame Target state estimator value
calculate kth frame dbjective state predicted value
2d) according to kth frame dbjective state predicted value
calculate the predicted value that kth frame target measures
Step 3, according to kth-1 frame state estimate covariance matrix P
k-1with the kth frame dbjective state predicted value that step 2 obtains
calculate the prediction covariance matrix D that kth frame target measures
k|k-1.
3a) according to kth frame dbjective state predicted value
calculate the Jacobian matrix H that kth frame target measures function
k:
Wherein, ▽
x() represents vector x differentiate, and () T represents transpose operation,
representative function
?
the functional value at place;
3b) according to kth-1 frame Target state estimator covariance matrix P
k-1with step 3a) the kth frame target that obtains measures the Jacobian matrix H of function
k, calculate the prediction covariance matrix D that kth frame target measures
k|k-1:
Wherein, Q
k-1represent the process noise covariance matrix of kth-1 frame, in this example, adopt following form:
Wherein, σ
prepresent process noise standard deviation, in this example, get σ
p=0.1.
Step 4, according to the predicted value of the kth frame target measurement that step 2 obtains
with the prediction covariance matrix D of the kth frame target measurement that step 3 obtains
k|k-1, determine kth frame target prediction ripple door O
k.
4a) target setting falls into kth frame target prediction ripple door O
kprobability P
g, in this example, get P
g=0.9997, be the chi-square distribution table that target measures dimension by looking into degree of freedom, obtain the thresholding γ of kth frame target prediction ripple door, wherein chi-square distribution table is the distribution function table of comparisons of the side's of card distribution variables in theory of probability;
4b) according to step 4a) the kth frame target prediction ripple door O that obtains
kthresholding γ, by following formula determination kth frame target prediction ripple door O
k:
Wherein, y represents the position that target occurs, | represent conditional code, the symbol left side is set element, and the right is the condition that element meets.
Step 5, there is the probability P of false-alarm in the target prediction Bo Mennei being set at least N frame in the tracing process of continuous N frame
f, then following formula is utilized to calculate kth frame target prediction ripple door O
kinside there is the probability P of false-alarm
z:
N represents that in the tracing process of continuous N frame, the possible frame number of false-alarm appears in target prediction Bo Mennei, symbol wherein! Represent factorial computing, the value of M, N need meet M > N>=1, gets M=100, N=3, P in this example
f=0.08;
Step 6, setting radar wave detector form, obtains kth frame target prediction ripple door O according to algorithm of target detection
kdetection statistic ξ (the i of interior i-th detecting unit; K), i=1,2 ..., N
k, wherein, N
krepresent kth frame target prediction ripple door O
kthe number of interior detecting unit;
The detection form of described radar wave detector comprises, and square law detection, linear detection etc., this example is selected but is not limited to square law wave detector.
Described algorithm of target detection comprises, CA-CFAR, order statistic CFAR, Generalized Likelihood Ratio, adaptive matched filter etc., this example is selected but is not limited to CA-CFAR detection algorithm, namely by following formulae discovery kth frame target prediction ripple door O
kdetection statistic ξ (the i of interior i-th detecting unit; K):
Wherein, x (i; K) kth frame target prediction ripple door O is represented
kthe wave detector of interior i-th detecting unit exports data, y (l; I, k) represent kth frame target prediction ripple door O
kin the reference window of interior i-th detecting unit, the wave detector of l reference unit exports data, N
rrepresent the number of reference window internal reference unit, in this example, get N
r=20.
Step 7, according to the kth frame target prediction ripple door O that step 6 obtains
kthe detection statistic of each detecting unit interior, calculates kth frame target prediction ripple door O
kthe false-alarm probability of each detecting unit interior and detection threshold.
7a) set kth frame target prediction ripple door O
kweight w (the i of the detection statistic of interior i-th detecting unit; K),
w (i is got in this example; K)=1/N
k, i=1,2 ..., N
k, obtain kth frame target prediction ripple door O
kthe weight detection statistic ξ ' (i of interior i-th detecting unit; K):
ξ′(i;k)=w(i;k)ξ(i;k),i=1,2,...,N
k;
Following system of equations 7b) is utilized to calculate kth frame target prediction ripple door O
kthe false-alarm probability of each detecting unit interior and detection threshold:
Wherein, P
f(i; K) kth frame target prediction ripple door O is represented
kthe false-alarm probability of interior i-th detecting unit, H
0represent the non-existent situation of target, T (k) represents kth frame target prediction ripple door O
kthe detection threshold of each detecting unit interior, Pr{ ξ ' (i; K)>=T (k) | H
0represent kth frame target prediction ripple door O in the non-existent situation of target
kthe weight detection statistic ξ ' (i of interior i-th detecting unit; K) probability of detection threshold T (k) is exceeded.
Step 8, according to the kth frame target prediction ripple door O that step 7 obtains
kthe detection threshold T (k) of each detecting unit interior, to kth frame target prediction ripple door O
kinterior echoed signal detects, and estimating target parameter, survey data acquisition Z (k) as kth frame amount;
Step 9, surveys data acquisition Z (k) according to the kth frame amount that step 8 obtains, and utilizes association algorithm to filter out kth frame and effectively measures set Z
k, choose this and effectively measure set Z
kthe metric data that the middle flight path degree of association is the highest.
Described association algorithm comprises, nearest-neighbor algorithm, Probabilistic Data Association Algorithm, optimum Bayes's association algorithm etc., and this example is selected but is not limited to Probabilistic Data Association Algorithm, namely chooses the highest metric data of track association degree in accordance with the following steps:
9a) utilize following formula to calculate kth frame and newly cease covariance matrix S
k:
S
k=D
k|k-1+R
k,
Wherein, D
k|k-1represent the prediction covariance matrix that kth frame target measures, R
krepresent that kth frame amount surveys covariance matrix;
9b) target setting metric data is chosen for the probability P effectively measured
g, in this example, choose P
g=0.9997, being the chi-square distribution table that target measures dimension by looking into degree of freedom, obtaining the thresholding η effectively measured, and determining that kth frame effectively measures region A
k:
Wherein, z represents that target measures the position that may occur,
represent the predicted value that kth frame target measures, | represent conditional code, the symbol left side is set element, and the right is the condition that element meets;
9c) filter out kth frame amount to survey and fall into kth frame in data acquisition Z (k) and effectively measure region A
kinterior metric data, effectively measures set Z as kth frame
k, and utilize following formula to calculate this effectively measurement set Z
kthe new breath v of a middle jth metric data
j:
Wherein, Z
kj () represents that kth frame effectively measures set Z
ka middle jth metric data, m
krepresent that kth frame effectively measures set Z
kmiddle metric data number;
9d) according to step 9a) the kth frame that obtains newly ceases covariance matrix S
kwith step 9c) the kth frame that obtains effectively measures set Z
kthe new breath v of a middle jth metric data
j, calculate kth frame and effectively measure set Z
kin the track association degree β of each metric data
j:
Wherein,
represent that average is 0, variance is new breath covariance matrix S
kgaussian random vector at v
jthe probability density value at place, P
drepresent the detection probability of kth frame target, V
krepresent that kth frame effectively measures region A
karea, get in this example
wherein, | S
k| represent that kth frame newly ceases covariance matrix S
kdeterminant;
9e) choose kth frame and effectively measure set Z
kin each metric data track association degree in metric data corresponding to maximal value.
Step 10, effectively measures set Z according to the kth frame that step 9 obtains
k, utilize track algorithm to calculate kth frame Target state estimator value
and kth frame state estimate covariance matrix P
k, return step 2.
Described track algorithm comprises, Kalman filtering, EKF, converted measurement Kalman filtering, unscented kalman filter, particle filters etc., this example is selected but is not limited to expanded Kalman filtration algorithm, namely calculates kth frame Target state estimator value in accordance with the following steps
and kth frame state estimate covariance matrix P
k:
10a) utilize following formulae discovery filter gain matrix K
k:
Wherein, F
k-1represent the state-transition matrix of kth-1 frame target, P
k-1represent kth-1 frame Target state estimator covariance matrix, Q
k-1represent the process noise covariance matrix of kth-1 frame, H
krepresent that kth frame target measures the Jacobian matrix of function;
10b) according to step 10a) the filter gain matrix K k that obtains, calculate kth frame Target state estimator value
Wherein,
represent the predicted value of kth frame dbjective state, β
jrepresent that kth frame effectively measures set Z
kthe track association degree of a middle jth metric data, v
jrepresent that kth frame effectively measures set Z
kthe new breath of a middle jth metric data, m
krepresent that kth frame effectively measures set Z
kmiddle metric data number;
Following formula 10c) is utilized to calculate kth frame state estimate covariance matrix P
k:
Wherein, I representation unit matrix.
Effect of the present invention is further illustrated by following simulation comparison test:
1. experiment scene: adopt a 2D radar being positioned at true origin, if carrier frequency f
c=3GHz, antenna aperture D=2.5m, transmitted signal bandwidth B=2MHz, sample frequency is F
s=4MHz, the radar scanning cycle is Δ T=2s, and radargrammetry parameter is the distance and bearing angle of target; If initial time target is 50km in the position of X-axis, Y-axis, and flies at a constant speed away from radar station, the speed component of X-axis, Y-axis is 300m/s, and initial signal to noise ratio (S/N ratio) is 20dB, and in traditional detection track algorithm, the false-alarm probability of target detection is 10
-6; Flight path termination rule is: if continuous three frames do not detect target, then flight path termination, and object tracking process terminates.
2. emulate content:
Emulation 1: adopt above experiment scene, utilize traditional detecting and tracking method and detecting and tracking method of the present invention, carry out simulation comparison to the detection perform of radar, result is as Fig. 2;
Emulation 2: adopt above experiment scene, utilize traditional detecting and tracking method and detecting and tracking method of the present invention, carry out simulation comparison to the detection range of radar, result is as Fig. 3;
Emulation 3: adopt above experiment scene, assuming that the 10th frame target suddenly disappears, emulate the probability that each frame flight path exists, result is as Fig. 4.
3. interpretation:
As seen in Figure 2, when ensureing same detection probability 0.6, echo signal to noise ratio (S/N ratio) required for traditional detection tracking is 13.28dB, the echo signal to noise ratio (S/N ratio) wanted required for the present invention is 9.533dB, compared with traditional detection tracking, the echo signal to noise ratio (S/N ratio) wanted required for the present invention can reduce 3.747dB, thus improves the detection perform of radar to target.
As seen in Figure 3, when ensureing same detection probability 0.6, traditional detection tracking is 104.4km to the BURN-THROUGH RANGE of target, the present invention is 129.3km to the BURN-THROUGH RANGE of target, 24.9km is improve compared with traditional detection tracking, improve the detection range of radar to target, thus increase the tracking range of radar to target.
As seen in Figure 4, when target is after the 10th frame disappears, should disappear at the 12nd frame under normal circumstances, can be found out by simulation result, the probability existed at the 12nd frame targetpath is 0.023, and the probability that namely flight path terminates is 0.977, after ensure that target disappearance, flight path can effectively terminate, inhibit the generation of false track, demonstrate in the present invention the validity adjusting false-alarm probability, and about the 15th frame, just can terminate flight path at the latest.
Comprehensive above-mentioned emulation experiment can be found out, in the flight course of target away from radar station, signal to noise ratio (S/N ratio) reduces gradually along with the increase of target range, the present invention is relative to traditional detecting and tracking method, owing to having considered tracker, problem is suppressed to the information of forecasting of target and false track, can ensure under the condition not producing false track, reduce the detection threshold of target, thus improve the detection perform of target, namely still can ensure the continuity of flight path when signal to noise ratio (S/N ratio) is lower, thus increase the tracking range of target.
Claims (4)
1. a frame CFAR target detection Tracking Integrative method, comprises the steps:
1) initiation parameter: by targetpath start algorithm could, obtains the Initial state estimation value of targetpath
and Initial state estimation covariance matrix P
0;
2) target setting state transition equation and radar measurement equation, according to kth-1 frame Target state estimator value
calculate kth frame dbjective state predicted value
with the predicted value that kth frame target measures
3) according to kth-1 frame state estimate covariance matrix P
k-1with step 2) the kth frame dbjective state predicted value that obtains
calculate the prediction covariance matrix D that kth frame target measures
k|k-1;
4) according to step 2) predicted value that measures of the kth frame target that obtains
with step 3) the prediction covariance matrix D that measures of the kth frame target that obtains
k|k-1, determine kth frame target prediction ripple door O
k;
5) there is the probability P of false-alarm in the target prediction Bo Mennei being set at least N frame in the tracing process of continuous N frame
f, then following formula is utilized to calculate kth frame target prediction ripple door O
kinside there is the probability P of false-alarm
z:
N represents that in the tracing process of continuous N frame, the possible frame number of false-alarm appears in target prediction Bo Mennei, symbol wherein! Represent factorial computing, the value of M, N need meet M>N >=1;
6) according to step 5) the kth frame target prediction ripple door O that obtains
kinside there is the probability P of false-alarm
z, calculate kth frame target prediction ripple door O
kthe false-alarm probability of each detecting unit interior and detection threshold:
6a) set radar wave detector form, obtain kth frame target prediction ripple door O according to algorithm of target detection
kdetection statistic ξ (the i of interior i-th detecting unit; K), i=1,2 ..., N
k, wherein, N
krepresent kth frame target prediction ripple door O
kthe number of interior detecting unit;
6b) set kth frame target prediction ripple door O
kweight w (the i of the detection statistic of interior i-th detecting unit; K), i=1,2 ..., N
k, obtain kth frame target prediction ripple door O
kthe weight detection statistic ξ ' (i of interior i-th detecting unit; K):
ξ′(i;k)=w(i;k)ξ(i;k),i=1,2,...,N
k;
Following system of equations 6c) is utilized to calculate kth frame target prediction ripple door O
kthe false-alarm probability of each detecting unit interior and detection threshold:
Wherein, P
f(i; K) kth frame target prediction ripple door O is represented
kthe false-alarm probability of interior i-th detecting unit, H
0represent the non-existent situation of target, T (k) represents kth frame target prediction ripple door O
kthe detection threshold of each detecting unit interior, Pr{ ξ ' (i; K)>=T (k) | H
0represent kth frame target prediction ripple door O in the non-existent situation of target
kthe weight detection statistic ξ ' (i of interior i-th detecting unit; K) probability of detection threshold T (k) is exceeded;
7) according to step 6) the kth frame target prediction ripple door O that obtains
kthe detection threshold of each detecting unit interior, to kth frame target prediction ripple door O
kinterior echoed signal detects, and estimating target parameter, survey data acquisition Z (k) as kth frame amount;
8) according to step 7) the kth frame amount that obtains surveys data acquisition Z (k), and utilize association algorithm to filter out kth frame and effectively measure set Z
k, choose kth frame and effectively measure set Z
kin the metric data the highest with track association degree, and utilize track algorithm to calculate kth frame Target state estimator value
and kth frame state estimate covariance matrix P
k, return step 2).
2. frame CFAR target detection Tracking Integrative method according to claim 1, wherein step 2) described in calculate kth frame dbjective state predicted value
with the predicted value that kth frame target measures
carry out as follows:
2a) target setting state transition equation is:
x
k=F
k-1x
k-1+v
k-1,
Wherein, x
krepresent the state of kth frame target, F
k-1represent the state-transition matrix of kth-1 frame target, x
k-1represent the state of kth-1 frame target, v
k-1represent the process noise of kth-1 frame;
2b) setting radar measurement equation is:
z
k=h
k(x
k)+w
k,
Wherein, z
krepresent the measuring value of kth frame target, h
k() represents the measurement function of kth frame target, w
krepresent the measurement noise of kth frame;
2c) according to kth-1 frame Target state estimator value
calculate kth frame dbjective state predicted value
2d) according to kth frame dbjective state predicted value
calculate the predicted value that kth frame target measures
3. frame CFAR target detection Tracking Integrative method according to claim 1, wherein step 3) described in the prediction covariance matrix D that measures of calculating kth frame target
k|k-1, carry out as follows:
3a) according to kth frame dbjective state predicted value
calculate the Jacobian matrix H that kth frame target measures function
k:
Wherein,
represent vector x differentiate, ()
trepresent transpose operation,
representative function
?
the functional value at place;
3b) according to kth-1 frame Target state estimator covariance matrix P
k-1with step 3a) the kth frame target that obtains measures the Jacobian matrix H of function
k, calculate the prediction covariance matrix D that kth frame target measures
k|k-1:
Wherein, Q
k-1represent the process noise covariance matrix of kth-1 frame, F
k-1represent the state-transition matrix of kth-1 frame target.
4. frame CFAR target detection Tracking Integrative method according to claim 1, wherein step 4) described in determination kth frame target prediction ripple door O
k, carry out as follows:
4a) target setting falls into kth frame target prediction ripple door O
kprobability P
g, being the chi-square distribution table that target measures dimension by looking into degree of freedom, obtaining kth frame target prediction ripple door O
kthresholding γ, wherein chi-square distribution table is the distribution function table of comparisons of the side's of card distribution variables in theory of probability;
4b) according to step 4a) the kth frame target prediction ripple door O that obtains
kthresholding γ, by following formula determination kth frame target prediction ripple door O
k:
Wherein, y represents the position that target may occur, | represent conditional code, the symbol left side is set element, and the right is the condition that element meets.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201410070414.1A CN103809173B (en) | 2014-02-28 | 2014-02-28 | Frame CFAR target detection Tracking Integrative method |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201410070414.1A CN103809173B (en) | 2014-02-28 | 2014-02-28 | Frame CFAR target detection Tracking Integrative method |
Publications (2)
Publication Number | Publication Date |
---|---|
CN103809173A CN103809173A (en) | 2014-05-21 |
CN103809173B true CN103809173B (en) | 2016-03-09 |
Family
ID=50706225
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN201410070414.1A Active CN103809173B (en) | 2014-02-28 | 2014-02-28 | Frame CFAR target detection Tracking Integrative method |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN103809173B (en) |
Families Citing this family (11)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN104035076B (en) * | 2014-06-30 | 2017-02-08 | 电子科技大学 | Iterative filtering method for tracking before multiframe detection |
CN105277939B (en) * | 2015-09-30 | 2017-07-07 | 深圳大学 | For passive sensor to the goal directed method of empty observational network and guiding system |
CN105842687B (en) * | 2016-03-21 | 2018-11-16 | 西安电子科技大学 | Detecting and tracking integral method based on RCS predictive information |
CN106054169B (en) * | 2016-05-18 | 2018-09-21 | 西安电子科技大学 | Multistation Radar Signal Fusion detection method based on tracking information |
CN107607916B (en) * | 2017-08-18 | 2020-07-31 | 上海无线电设备研究所 | Self-defense type speed and distance joint deception jamming resisting method |
CN107993245B (en) * | 2017-11-15 | 2021-09-14 | 湖北三江航天红峰控制有限公司 | Aerospace background multi-target detection and tracking method |
CN108469609B (en) * | 2018-06-11 | 2022-02-18 | 成都纳雷科技有限公司 | Detection information filtering method for radar target tracking |
CN109655822A (en) * | 2018-11-09 | 2019-04-19 | 上海无线电设备研究所 | A kind of improved track initiation method |
CN110244289B (en) * | 2019-05-23 | 2022-08-12 | 自然资源部第一海洋研究所 | Integrated detection method for self-adaptive particle filter ground wave radar target |
CN113109796A (en) * | 2021-03-03 | 2021-07-13 | 四川九洲防控科技有限责任公司 | Target detection method and device |
CN116482673B (en) * | 2023-04-27 | 2024-01-05 | 电子科技大学 | Distributed radar detection tracking integrated waveform implementation method based on reinforcement learning |
Family Cites Families (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN102313884B (en) * | 2010-06-29 | 2013-02-13 | 电子科技大学 | Target track-before-detect (TBD) method based on multi-frame coherent integration |
US8717223B2 (en) * | 2010-08-26 | 2014-05-06 | Lawrence Livermore National Security, Llc | Classification of subsurface objects using singular values derived from signal frames |
CN102147468B (en) * | 2011-01-07 | 2013-02-27 | 西安电子科技大学 | Bayesian theory-based multi-sensor detecting and tracking combined processing method |
US9057783B2 (en) * | 2011-01-18 | 2015-06-16 | The United States Of America As Represented By The Secretary Of The Army | Change detection method and system for use in detecting moving targets behind walls, barriers or otherwise visually obscured |
CN103353594B (en) * | 2013-06-17 | 2015-01-28 | 西安电子科技大学 | Two-dimensional self-adaptive radar CFAR (constant false alarm rate) detection method |
CN103439697B (en) * | 2013-08-23 | 2015-05-27 | 西安电子科技大学 | Target detection method based on dynamic programming |
-
2014
- 2014-02-28 CN CN201410070414.1A patent/CN103809173B/en active Active
Also Published As
Publication number | Publication date |
---|---|
CN103809173A (en) | 2014-05-21 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN103809173B (en) | Frame CFAR target detection Tracking Integrative method | |
CN103472445B (en) | Detecting tracking integrated method for multi-target scene | |
CN105842687B (en) | Detecting and tracking integral method based on RCS predictive information | |
CN109633633B (en) | Life signal enhancement method based on segmented classification enhancement processing | |
CN104155650A (en) | Object tracking method based on trace point quality evaluation by entropy weight method | |
CN105319537B (en) | Marine radar co-channel interference suppression method based on spatial coherence | |
CN104502899A (en) | Self-adaptive constant false alarm rate target detection method | |
CN107436434B (en) | Track starting method based on bidirectional Doppler estimation | |
CN103558597B (en) | Based on weak target detection method in the sea clutter of spectrum kurtosis | |
CN111965615B (en) | Radar target detection method based on estimation before detection | |
CN103197297B (en) | Radar moving target detection method based on cognitive framework | |
CN104155651A (en) | Probability data correlation method for polarizing radar target tracking | |
CN105116387A (en) | PD radar velocity pull-off resisting method based on position and Doppler velocity information | |
CN107271973A (en) | CFAR detection method based on degree of skewness and average ratio under Weibull clutter environment | |
CN110308442B (en) | GM-PHD target tracking method of phased array radar in strong clutter environment | |
CN112881993A (en) | Method for automatically identifying false tracks caused by radar distribution clutter | |
CN101582159A (en) | Infrared image background suppression method based on unsupervised kernel regression analysis | |
CN107102293B (en) | The passive co-located method of unknown clutter based on the estimation of sliding window integral density | |
CN105652256B (en) | A kind of high-frequency ground wave radar TBD methods based on polarization information | |
CN113126086B (en) | Life detection radar weak target detection method based on state prediction accumulation | |
CN106569190A (en) | Device and method for detecting sea-surface target under high sea conditions | |
CN111141276B (en) | Track association confidence evaluation method based on multi-source sensor | |
CN113608190B (en) | Sea surface target detection method and system based on three characteristics of singular space | |
CN111796267A (en) | Maneuvering turning target tracking-before-detection method based on pseudo-spectrum matched filtering | |
CN112230200A (en) | Improved combined noise reduction method based on laser radar echo signals |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
C06 | Publication | ||
PB01 | Publication | ||
C10 | Entry into substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
C14 | Grant of patent or utility model | ||
GR01 | Patent grant |