A state-space approach to optimum postfiltering of sampled data |
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Authors: | Yern Yeh Craig K. Rushforth |
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Affiliation: | Singer Tele-Signal USA;Department of Electrical Engineering, University of Utah, Salt Lake City, Utah 84112 USA |
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Abstract: | In this paper, we apply state-space techniques to the problem of reconstructing a random continuous-time waveform from its discrete-time samples. The optimal zero-lag filter that accomplishes this is well known, but to our knowledge the smoothing problem has not been previously considered in this context. We develop smoothing algorithms in the mixed-time framework appropriate to the interpolation problem, and then compare our results with those obtained previously in discrete time. Our results are related to those previously obtained in a simple and intuitive way, and the required computations are straightforward modifications of those described previously for purely discrete and purely continuous time. |
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