Title: Recursive identification of IIR system using binary input/output measurements

Authors: Hicham Oualla; Mathieu Pouliquen; Miloud Frikel; Said Safi

Addresses: Normandie University, UNICAEN, ENSICAEN, LAC, 14000 Caen, France; Department of Mathematics and Informatics, University Sultan Moulay Slimane, Beni Mellal, Morocco ' Normandie University, UNICAEN, ENSICAEN, LAC, 14000 Caen, France ' Normandie University, UNICAEN, ENSICAEN, LAC, 14000 Caen, France ' Department of Mathematics and Informatics, University Sultan Moulay Slimane, Beni Mellal, Morocco

Abstract: The identification of system using binary measurements of both the input and output is a problem relevant to a number of applications. Although the identification of finite impulse response (FIR) models has been thorough, more complex model structures still need to be investigated. In this paper, the problem of identifying an infinite impulse response (IIR) system is studied. A three-step real-time algorithm is proposed. The proposed algorithm is based on the use of least mean squares (LMS) algorithm to estimate the correlation function, then estimate the parameters of the system. A convergence analysis of the proposed algorithm based on those of LMS algorithm is presented. Some simulation results are included to illustrate the performance of the proposed algorithm.

Keywords: real-time identification; IIR systems; binary input/output; finite impulse response; FIR; infinite impulse response; least mean square; LMS.

DOI: 10.1504/IJMIC.2022.125549

International Journal of Modelling, Identification and Control, 2022 Vol.40 No.4, pp.327 - 335

Received: 27 Apr 2021
Accepted: 31 Oct 2021
Published online: 14 Sep 2022 *

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