Title: Robust FIR and IIR filter design for uncertain multirate systems under wireless network environment

Authors: Shouyi Liao; Huaping Liu; Yucai Zhou

Addresses: High-Tech Institute of Xi'an, Xi'an, Shaanxi 710025, China ' State Key Laboratory of Intelligent Technology and Systems, Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China ' Changsha University of Science and Technology, Changsha, Hunan 410004, China

Abstract: In this paper, the robust finite impulse response (FIR) and infinite impulse response (IIR) filter design problem for uncertain multirate systems under wireless communication channel are investigated. A periodic system model is used to characterise the multirate nature and therefore, the uncertain cases can be dealt with easily. Both the FIR and IIR filter can be designed by solving a set of linear matrix inequalities. Finally, a numerical example is given to show the effectiveness of the FIR and IIR filters.

Keywords: periodic system models; wireless sensor networks; WSN; multirate systems; IIR filters; linear matrix inequalities; LMI; FIR filters; finite impulse response; infinite impulse response; filter design; uncertainty.

DOI: 10.1504/IJSNET.2016.074282

International Journal of Sensor Networks, 2016 Vol.20 No.1, pp.54 - 61

Received: 01 Jul 2015
Accepted: 02 Jul 2015

Published online: 20 Jan 2016 *

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