A Waveform Design Method for Radar Maneuvering Target Tracking
A maneuvering target tracking and waveform design technology, applied in the field of radar communication, can solve the problems of poor tracking robustness and low accuracy, and achieve the goal of avoiding maneuvering target mismatch, improving tracking accuracy, and avoiding position error and speed error. Effect
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specific Embodiment approach 1
[0027] Specific implementation mode one: a kind of radar maneuvering target tracking waveform design method provided in this implementation mode is specifically carried out according to the following steps:
[0028] Step 1, constructing a motion model for the maneuvering target;
[0029] Step 2, calculating the filter update matrix weight corresponding to the motion model;
[0030] Step 3, calculating the mixed input state of the motion model and the corresponding estimation error covariance matrix;
[0031] Step 4, using a linear or nonlinear filtering algorithm to obtain the local unbiased filter estimation and target state estimation error covariance matrix of each sub-model;
[0032] Step 5. Update the composite matrix to obtain the optimal fusion state estimation and fusion estimation error covariance matrix;
[0033] Step 6. Based on the fused estimation error covariance matrix, the transmit waveform rotation parameters are obtained, and the user-set waveform is rotate...
specific Embodiment approach 2
[0035] Specific embodiment two: the difference between this embodiment and specific embodiment one is: in the step one, constructing a motion model for the maneuvering target is specifically:
[0036]
[0037] The formula includes the target state equation x(k+1)=F j (x(k))+w j (k) and measurement equation z(k)=H j(x(k))+v(k); x(k) represents the target state vector at time k, the dimension is n×1, including the position and speed state in X and Y directions, z(k) is the measurement vector; j ∈{1,...,s} represents the serial number of the model in the model library, s is the number of models; when the above formula represents a linear motion model, F j ( ) and H j ( ) is a linear transfer matrix, F in nonlinear motion model j ( ) and H j ( ) represents a nonlinear function; w j (k) means the mean is zero and the covariance matrix is Q j Gaussian process noise, v(k) represents the measurement noise with zero mean and covariance matrix R; represents the jth motion ...
specific Embodiment approach 3
[0041] Specific embodiment three: the difference between this embodiment and specific embodiment two is that the calculation of the filter update matrix weight corresponding to the motion model in step two specifically includes the following steps:
[0042] For the state vector x, let the corresponding local unbiased filter estimates of the s sub-models be represents the local estimation error, Indicates the i-th motion model The target state estimation error covariance matrix of , Indicates the motion model and The estimated error cross-covariance matrix of , and when i≠j has Where E(·) is the function to obtain the expected value; local unbiased filter estimation can be regarded as the i-th motion model The corresponding filter measures x, that is:
[0043]
[0044] It can then be defined:
[0045]
[0046] in:
[0047]
[0048] e=[I n ...I n ] T
[0049]
[0050] know by unbiased which is I n Represent n×n dimension identity matrix, e...
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