Frame Fundamental Sensor Modeling and Stability of One-sided Frame Perturbation
نویسندگان
چکیده
We demonstrate that for all linear devices and/or sensors, signal requisition and reconstruction is naturally a mathematical frame expansion and reconstruction issue, whereas the measurement is carried out via a sequence generated by the exact physical response function (PRF) h of the device, termed sensory frame {hn}. The signal reconstruction, on the other hand, will be carried out using the dual frame {h̃n} of the estimated sensory frame {hn}. This consequently results in an one-sided perturbation to a frame expansion. We show that the stability of such a one-sided frame perturbation exists. Such an one-sided perturbation to a frame expansion exists in each and every signal and image reconstruction problem. Examples of image reconstructions in de-blurring are demonstrated.
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