MIMO radar orthogonal waveform design method and system
A technology of orthogonal waveforms and design methods, applied in radio wave measurement systems, mechanical equipment, instruments, etc., can solve the problems of mutual interference between different systems and the deterioration of radar system performance, and achieve optimized related performance, good optimization effect, and low calculation. The effect of complexity
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no. 1 example
[0217] 1. Build the aperiodic correlation signal model of the MIMO radar transmit waveform, the specific aperiodic autocorrelation function A l,k and the cross-correlation function C p,q,k The expression is as follows:
[0218]
[0219]
[0220] Among them, l,p,q=1,2,...,L, p≠q, k=0,1,...,N-1.
[0221] make is the shift matrix,
[0222]
[0223] Among them, δ is the shock function, which defines the matrix J p,q,k as follows:
[0224]
[0225] Among them, Z p,q Indicates that the (p, q)th element is 1 and the remaining elements are 0 L×L-dimensional matrix, represents the Kronecker product.
[0226] Based on the above definition, the compact expression of the aperiodic correlation function of the MIMO radar transmit waveform can be given as:
[0227] A l,k =s H J l,l,k s
[0228] C p,q,k =s H J p,q,k s
[0229] Among them, s=[s 1 ,s 2 ,...,s L ] H .
[0230] 2. Build the spectrum model of the MIMO radar transmit waveform:
[0231] define mat...
no. 2 example
[0286] Second Embodiment (Simulation of First Embodiment)
[0287] Simulation conditions: The number of array elements of the MIMO radar is L=3, and the encoding length of the transmitted waveform of each array element is N=256. When the change of the objective function value of adjacent iteration steps is less than 0.1, the iteration is stopped.
[0288] figure 2 The correlation function of the waveform obtained by the simulation of the second embodiment according to the optimization of the first embodiment of the present invention is given; as figure 2 As shown, the correlated sidelobe level of the optimized MIMO radar waveform is very low, which provides a good basis for matched filtering between different waveforms.
[0289] image 3 The frequency spectrum of the waveform obtained by the simulation of the second embodiment according to the optimization of the first embodiment of the present invention is given; as image 3 As shown in the figure, the spectrum of the o...
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