MIMO radar orthogonal waveform design method and system
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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
Pending Publication Date: 2022-08-02
NAT UNIV OF DEFENSE TECH
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[0004] When designing orthogonal waveforms in existing methods, most of them establish a cost function based on the auto/cross-correlation performance of the waveforms. Although the orthogonality between waveforms can b
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[0216] first embodiment
[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 wav...
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[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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Abstract
The invention provides an MIMO radar orthogonal waveform design method and system. According to the method, the orthogonal waveform of the MIMO radar is designed by constraining the frequency spectrum shape, the MIMO radar is a multiple-input-multiple-output radar, and the method comprises the steps of obtaining a transmitting waveform of a transmitting signal of a transmitting platform of the MIMO radar, constructing a non-periodic correlation signal model of the transmitting signal based on the transmitting waveform, and constructing a non-periodic correlation signal model of the transmitting signal based on the non-periodic correlation signal model; the aperiodic correlation signal model is represented by an aperiodic autocorrelation function and an aperiodic cross-correlation function; establishing a frequency spectrum model of the transmitted waveform to construct a frequency spectrum matching model of the transmitted waveform, and further determining a frequency spectrum shape constraint-based optimization model of the transmitted waveform based on the frequency spectrum matching model and an expected correlation performance matching-based optimization model of the transmitted waveform; the optimal transmitted waveform is obtained through loop iterative calculation by means of an optimization model of the transmitted waveform based on the spectrum shape constraint, and the cut-off condition of the iterative calculation is that the change of the adjacent step target function is smaller than a threshold value.
Description
technical field [0001] The invention belongs to the field of radar systems and radar signal processing, and in particular relates to a method and system for designing a quadrature waveform of a MIMO radar. Background technique [0002] As a new system radar, MIMO radar has received extensive attention from many scholars since it was proposed. Compared with traditional phased array radars, MIMO radars can transmit arbitrary waveforms, have higher degrees of freedom, and have very superior performance in target detection and parameter estimation. According to the different antenna configuration, it can be divided into statistical MIMO radar and coherent MIMO radar. Statistical MIMO radar transceiver array elements have a large configuration spacing and can observe the target from different directions, so it has good spatial gain, structural gain and polarization gain, and can effectively overcome the target RCS scintillation effect. The target echo of coherent MIMO radar can...
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