Abstract
This paper considers the problem of reconstructing a class of generalized
sampled signals of which a special case occurs in, e.g., a generalized
sampling system due to non-ideal analysis basis functions. To this end, we
propose an improved reconstruction system and a reconstruction algorithm
based on generalized inverse, which can be viewed as a reconstruction
method that reduces reconstruction error as well. The key idea is to add
an additional channel into a generalized sampling system and apply the
generalized inverse theory to the reconstruction algorithm. Finally, the
approach is applied, respectively, to an oscilloscope, which shows the
proposed method yields better performance as compared to the existing
technique.
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