| Paper: | SPTM-P9.8 | ||
| Session: | Nonlinear Systems and Signal Processing | ||
| Time: | Thursday, May 20, 13:00 - 15:00 | ||
| Presentation: | Poster | ||
| Topic: | Signal Processing Theory and Methods: Nonlinear Systems and Signal Processing | ||
| Title: | CONTRACTION, SMOOTHNESS, AND LOW-PASS FILTERING | ||
| Authors: | Mohammad Ali Khojastepour; Rice University | ||
| Behnaam Aazhang; Rice University | |||
| Richard Baraniuk; Rice University | |||
| Abstract: | We introduce a generalized definition for ``low-pass'' filtersthat covers time-varying and nonlinear systems under the sameumbrella. We show that the qualitative concept of signal smoothingcan be made precise through the concept of contractions inprobabilistic metric spaces. For illustration, we considerclassical linear time-invariant low-pass filters, the nonlinearmedian filters, and time-varying guaranteed maximum delayschedulers employed in communication systems. | ||
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