1：Experimental Design and Method Selection:

The methodology involves designing a 2D array of multilayer thin-film filters for spectral modulation, using compressive sensing (CS) reconstruction algorithms to recover input spectra from a small number of measurements. Theoretical models include recursive routines for calculating transmission functions and mutual coherence for sensing matrix optimization.

2：Sample Selection and Data Sources:

Input spectra include monochromatic lights, LEDs, and a halogen lamp, generated or measured using optical equipment. Wavelength samples range from 500 to 1000 nm with 1 nm spacing.

3：List of Experimental Equipment and Materials:

Equipment includes a halogen lamp, monochromator, fiber-optic collimator, CMOS image camera, supercontinuum white light source, optical spectrum analyzer, grating spectrometer, e-beam evaporator, plasma-enhanced chemical vapor deposition system, photolithography tools, and reactive ion etching system. Materials include SiNx, SiO2, germanium (Ge), and glass substrate.

4：Experimental Procedures and Operational Workflow:

Fabrication involves depositing alternating layers of SiNx and SiO2 on a glass substrate with a Ge grid, using PECVD and photolithography. Optical experiments measure transmission functions and perform spectral reconstructions with normal incidence alignment. Computational experiments simulate noisy environments and two-point resolution tests.

5：Data Analysis Methods:

Data analysis uses L1 norm minimization for sparse signal reconstruction, mean-squared error (MSE) for performance quantification, and mutual coherence for sensing matrix evaluation. Software includes algorithms like l1_ls_noneg for reconstruction.