About Optimal Fractional Hold Circuits for Inter- sample Output Reconstruction in Sampled-data Systems

Manuel De la Sen

doi:10.3390/s7123146

About Optimal Fractional Hold Circuits for Inter- sample Output Reconstruction in Sampled-data Systems

Sensors (Basel). 2007 Dec 4;7(12):3146-3155. doi: 10.3390/s7123146.

Author

Manuel De la Sen¹

Affiliation

¹ Department of Electricity and Electronics, Faculty of Science and Technology, Campus of Leioa, PO Box 644-Bilbao, Spain. wepdepam@lg.ehu.es.

Abstract

The design of fractional order-holds (FROH) of correcting gains β ∈ [ - 1 , 1 ](potentially and possibly including zero-order-holds, ZOH with β=0, and first-order-holds,FROH with β=1) is discussed related to achieving output deviations being close withrespect to its sampled values. A squared error time- integral between the current output andits sampled values is minimized to yield the appropriate correcting gain of the FROH in ananalytic way.

Keywords: First and Fractional- order-holds; Inter-sample behavior; Signal reconstruction.; Zero.