A method for designing a spectral sensing device. The method includes: (1) performing computational operations on a computer, wherein the computational operations determine the positions of diffracted orders of an optical system model that models at least an array of light modulating elements and a diffraction grating, wherein the diffracted orders correspond to respective spectral components of input light to the optical system model, wherein the positions of the diffracted orders are determined at a target plane of the optical system model; and (2) storing the positions of the diffracted orders in a memory, wherein the positions determine corresponding locations for light detectors in the spectral sensing device. The spectral sensing device may be assembled by modifying an existing single pixel camera, i.e., by adding the diffraction grating and adding the light detectors respectively at said positions of the diffracted orders.