Analysis and design of one-bit noise-shaping quantizer using variable structure control approach

Jwu-Sheng Hu*, Shiang Hwua Yu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper offers a straightforward analysis of a one-bit noise-shaping quantizer based on variable structure control methods. The method uses the concept of equivalent control to access the bound on the state signals when the sliding condition is reached. For a stable loop filter, the global stability can be proved to exist by using the Lyanpunov stability theory. For an unstable loop filter, this paper proposes a state constraint approach to ensure that the sliding condition is achieved. Simulation examples and an experimental circuit constructed using off-the-shelf electronic components are given to demonstrate the correctness of the theoretical analysis.

Original languageEnglish
Pages (from-to)266-274
Number of pages9
JournalAsian Journal of Control
Volume7
Issue number3
DOIs
StatePublished - 1 Sep 2005

Keywords

  • Noise shaping
  • Sigma delta modulation
  • Variable structure control quantization

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