H-infinity Design of Periodically Nonuniform Interpolation and Decimation for Non-Band-Limited Signals

Abstract

In this paper, we consider signal interpolation of discrete-time signals which are decimated nonuniformly. A conventional interpolation method is based on the sampling theorem, and the resulting system consists of an ideal filter with complex-valued coefficients. While the conventional method assumes band limitation of signals, we propose a new method by sampled-data H ∞ optimization. By this method, we can remove the band-limiting assumption and the optimal filter can be with real-valued coefficients. Moreover, we show that without band-limited assumption, there can be the optimal decimation patterns among ones with the same ratio. By examples, we show the effectiveness of our method.

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Cite this paper

@article{Nagahara2013HinfinityDO, title={H-infinity Design of Periodically Nonuniform Interpolation and Decimation for Non-Band-Limited Signals}, author={Masaaki Nagahara and Masaki Ogura and Yutaka Yamamoto}, journal={CoRR}, year={2013}, volume={abs/1308.2743} }