Schmidt orthogonal optimization of measurement matrix

Aiming at the disadvantage of poor stability of universal measurement matrix, this paper proposes an optimization method of measurement matrix, which is called Schmidt orthogonalization method. Row vectors are orthogonalized step by step to reduce the correlation between column vectors of measurement matrix. The simulation results show that under the same sampling rate, the one-dimensional signal reconstructed based on the optimized measurement matrix has higher reconstruction accuracy and quality, and the number of measurements required for accurate reconstruction is also reduced; the two-dimensional image reconstructed based on the optimized measurement matrix has higher signal-to-noise ratio.