| Shock wave from artillery and other weapons can have an adverse effect on operators,weapons and surrounding equipment.Therefore,the accurate measurement of muzzle shock wave data can provide an important reference for calculating the amount of explosives and planning the placement position of weapons.The effective information period of shock wave signal is relatively small in the whole acquisition period and contains high frequency components.The acquisition system needs to maintain a high sampling rate to collect the shock wave signal.The continuous high sampling rate results in more data,which is not conducive to storage.The shock wave signal can be expressed sparsely,so in this paper,a compression sensing method is proposed to collect shock wave signal,which solves the contradiction between high sampling rate and limited system resources.The main techniques of compressed sensing: sparse basis,observation matrix and reconstruction algorithm are discussed.The classical sparse method is used to sparse the shock wave signals,and the fitness of different sparse base sparse signals is summarized.The observation effects of several observation matrices on shock wave signals are summarized,and an optimization method based on the combination of averaging eigenvalue decomposition and QR decomposition is proposed.The observation matrix is optimized by increasing the non-correlation between the observation matrix and the sparse basis and reducing the correlation between the array vectors of the observation moment.This optimization method is applied to Bernoulli random matrix,and it is proved that the improved method can effectively improve the reconstruction accuracy of the observed matrix data.In the part of compressed perceptual reconstruction algorithm,the research focus on the greedy algorithm,which is widely used.Base on the influence of the quality of the initial supported atomic set on the reconstruction accuracy of the SP algorithm,an improved SP algorithm based on the idea of selecting atoms by orthogonal matching tracing algorithm is proposed.The optimization method not only improves the reconstruction quality of the algorithm,but also shortens the running time of the algorithm,and improves the efficiency of the algorithm by about 70%.In this paper,5 psi and 50 psi sensor shock wave signals are used as the target data.The final experimental results show that the compression sensing method is used to collect the data,and the compression ratio of the data is 2 to 3 times.When using the optimized algorithm,the final compression ratio is 4 times.The accuracy of signal reconstruction and the operation efficiency of the algorithm have been improved.It can meet the requirement of high precision of test result and efficiency of test equipment in engineering practice. |