In order to realize the spectral analysis of a weak signal, a Hadamard spectrometer with a high luminous flux and high resolution is established by using a Offner optical structure in the system. The performance of Hadamard S silt and Hadamard cyclic-S silt is compared. Then,the multi-micro-silicon-slit matrices are produced by MEMS technique,and the diffraction phenomenon is analysed by using the software of Matlab. Based on the diffraction theory, the diffractive formula is presented. A set of experiments are carried out to compare the performance of Hadamard S15 and Hadamard cyclic-S15,results show that the luminous flux of the presented device with Hadamard S15 is 1.45 times that of the device with Hadamard cyclic S15.The experiment verifies that the programmer using the Matlab language is reasonable,the measurement system is stable,and the S15 slit is fit for the Hadamard spectrometer.