A model for incorporating the effects of nonzero switching-time constants in electrooptic masks used in Hadamard-transform spectrometry

Hadamard-transform (HT) spectrometers offer a multiplex advantage over conventional monochromators, making them very useful in situations in which the signal-to-noise ratio is low. HT spectrometers having no moving parts can be implemented by substituting an electrooptic mask for the moving mask in the optical path. However, the physical properties of an electrooptic mask introduce two types of nonidealities-static and dynamic-into the measurement system. These nonidealities can cause distortions in the acquired spectra if their effects are neglected in the signal-recovery process. We have developed two complete system models that incorporate the effects of both static and dynamic nonidealities. In addition, we have devised recovery schemes applicable for each system model and have designed computationally efficient implementations of the recovery schemes.