On the evaluation of the exact output of a switched continuous-time filter and applications

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Abstract

In this paper, a study of the operation of switched continuous-time filters (SCTFs), defined as continuous-time filters with elements that are alternatively switched on and off in the signal path, is conducted. A well-known example is the use of switched resistors to multiply their value, but the universe of applications is wider. First, a detailed calculation of the output of an SCTF in the frequency domain, which allows the examination of any SCTF in a general framework, is presented. This result particularly explains the resistor multiplication effect. Three application examples using switched elements are presented and examined as SCTFs: a nonideal sample & hold, a switched active filter that is tuned by varying the duty cycle of the switching, and a switched Gm-C filter to implement a chopper amplifier. In all cases, the theoretical background allows the examination of circuit behavior and limitations, and the analysis is supported by measurements or transient simulations.

Original languageEnglish
Pages (from-to)1421-1429
Number of pages9
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume55
Issue number6
DOIs
StatePublished - Jul 2008
Externally publishedYes

Keywords

  • Analog processing circuits
  • Analog processing circuits example
  • Continuous-time filters
  • Filter theory
  • Frequency-domain analysis
  • Over switched- capacitor filters
  • Switched systems

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