This study presents MIMO radar in food density measurement signal separation method-INN-LCMV adaptive pulse compression method based on Linear Constrained Minimum Variance (LCMV) criterion and infinite norm normalization method. In the presented method, unrequited transmit signal and non-Gaussian noise are regarded as interference, the received signals are processed in the infinity norm normalization method, the weight coefficients of the filter based on the linear constrained minimum variance are derived. The simulation results show that, this method is suitable for the non-Gaussian noise, the influence of noise on signal separation performance is relatively small, the proposed method is very efficient for MIMO radar in food density measurement signal separation in non-Gaussian noise.