The invention is applied to the technical field of
spectrum imaging and provides an imaging
system and an imaging method for a compressed spectrum. The
system comprises a detection
light source, a light-splitting
grating, a digital micro-mirror, a light-combining
grating, a
detector and a calculating and controlling unit, wherein the light-splitting
grating, the digital micro-mirror, the light-combining grating and the
detector are sequentially arranged in the spread direction of light; the calculating and controlling unit is used for controlling the digital micro-mirror to form a plurality ofcircularly-distributed sinusoidal coding
graphics, adjusting the shapes of the sinusoidal coding
graphics, receiving spectral images detected when the
detector adopts different sinusoidal coding
graphics and combining the spectral images; an original
spectral image is reconstructed by inverse
Fourier transform. The imaging
system for the compressed spectrum adopts a double grating structure; by writing the sinusoidal coding graphics in the digital micro-mirror, the cycle and the phase of the sinusoidal coding graphics are changed, and different detected spectral images are obtained; finally,the compressed spectrum is reconstructed by using the inverse
Fourier transform, so that the reconstruction time of a spectrum is shortened.