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Identification of Rational Systems with Logarithmic Quantized Data

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  • Mingming Ji
  • Shengchao Su

Abstract

This paper is concerned with the quantized identification of rational systems, where the systems’ output is quantized by a logarithmic quantizer. Under the assumption that the systems’ input is periodic, the identification procedure is categorized into two steps. The first step is to identify the noise-free output of systems based on the quantized data. The second is to identify the unknown parameter based on the input and the estimation of the noise-free output. The identification algorithm is also summarized. Asymptotic convergence of the estimators is analyzed in detail, which shows that the estimators are convergent almost everywhere. A numerical example is given to illustrate the results obtained in this paper.

Suggested Citation

  • Mingming Ji & Shengchao Su, 2021. "Identification of Rational Systems with Logarithmic Quantized Data," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-7, July.
    • Handle: RePEc:hin:jnlmpe:6667745
    DOI: 10.1155/2021/6667745
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