COMPUTATIONALLY EFFICIENT SPECTRUM-RECOVERY METHODS WHICH COMPENSATE FOR STATIC AND DYNAMIC NONIDEALITIES IN ELECTROOPTIC MASKS USED IN HADAMARD-TRANSFORM SPECTROMETRY

A Hadamard-transform spectrometer having no moving parts can be implem ented by placing a stationary electrooptic mask in the optical path of a dispersive monochromator. However, two kinds of nonidealities-stati c and dynamic-associated with the electrooptic mask can cause distorti ons in the recovered spectrum-estimates. Two system models and corresp onding recovery schemes have been developed previously that incorporat e the effects of both types of nonidealities, This paper focuses on re presenting the dynamic nonidealities of the mask by a right-cyclic mat rix T-D, obtaining T-D in practice, and computing T-D(-1) by computati onally efficient means, thus completing the development of fast implem entations of the two previously reported recovery schemes. These compu tationally efficient recovery schemes were applied to simulated and ex perimental data, with examples of results presented and discussed.