To obtain both high sensitivity and high throughput when measuring at the same time, a static doublegain Hadamard spectrometer is introduced, based on microslit array. The principle and instrument structure of static doublegain Hadamard spectrometer are described, and spectra aliasing caused by Hadamard encoding mask is investigated. The relationship between spectral offset and the spatial offset of incident slit is obtained. For a given wavelength spectrum, the spatial offset caused by the spatial offset of incident slit is also calculated in theory. The simulation results show that this method has no complex computation, with fast correction, and is easy in program realization.