5D Moog Ladder Structured Digital Filter: Minimal State-Space Realization

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Abstract

This paper outlines the minimal circuit and state–space realization for a five-dimensional (5D) ladder digital filter having the one-dimensional (1D) Moog structure and characteristics. The number of delay units and the state vector in the state–space realization are both minimal. Furthermore, in this work two first–order examples demonstrate the filter’s internal structures by using simple state–space models. The first example employs a 5D circuit implementation, whereas the second is a two–dimensional (2D) filter. It is clear that the results present the minimal state–space realizations, as well as their transfer functions, which correspond to the derived generalized 5D Moog transfer function.

Original languageEnglish
Title of host publicationISSCS 2025 - International Symposium on Signals, Circuits and Systems, Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9798331552985
DOIs
StatePublished - 2025
Event17th International Symposium on Signals, Circuits and Systems, ISSCS 2025 - Iasi, Romania
Duration: 17 Jul 202518 Jul 2025

Publication series

NameISSCS 2025 - International Symposium on Signals, Circuits and Systems, Proceedings

Conference

Conference17th International Symposium on Signals, Circuits and Systems, ISSCS 2025
Country/TerritoryRomania
CityIasi
Period17/07/2518/07/25

Keywords

  • 5D filter
  • circuit implementation
  • ladder structure
  • minimal realization
  • Moog filter
  • Multidimensional systems
  • state–space
  • transfer function

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