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There has been remarkable progress in sampled-data control theory in the last decade. The main accomplishment here is that there exists a digital (discrete-time) control law that takes the intersample behavior into account and makes the overall analog (continuous-time) performance optimal, in the sense of H-infinity norm. The same hybrid nature of designing a digital filter for analog signals is also...
In this paper, we study nonparametric density estimation by the histogram method. Histogram is interpreted as quantization, which decreases the amount of information. Then interpolation (or estimation) of the missing information is needed. To achieve this, we introduce sampled-data H2/Hinfin optimization. We design the reconstruction system which optimizes the worst case error between the original...
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