Development and implementation of a general-purpose Hadamard-transform spectrometer simulation program

A general-purpose Hadamard-transform (HT) spectrometer simulation program has been developed. It combines software that simulates the operation of an HT spectrometer with computationally efficient algorithms for performing recovery of spectra. The incident spectrum can be encoded with a right-cyclic, left-cyclic, or noncyclic encodement scheme. A block-diagram approach is utilized, with blocks allocated for the description of the spectrometer model, the addition of detector noise, and the spectrum-recovery method. The user can choose among various spectrometer models and spectrum-recovery schemes which have been previously developed. Various algorithms are made available to implement the right-cyclic matrix inversions, circular correlations, and vector-matrix multiplications required in the computation of the spectrometer output and the spectrum-estimate. This paper presents important features of the simulation program and shows an example source file