Design of multiplier-free state-space digital filters

Tamal Bose, Zhurun Zhang, Miloje Radenkovic, Ojas Chauhan

Research output: Contribution to journalArticlepeer-review


In this paper, a novel approach is presented for designing multiplier-free state-space digital filters. The multiplier-free design is obtained by finding power-of-2 coefficients and also quantizing the state variables to power-of-2 numbers. Expressions for the noise variance are derived for the quantized state vector and the output of the filter. A "structuretransformation matrix" is incorporated in these expressions. It is shown that quantization effects can be minimized by properly designing the structure-transformation matrix. Simulation results are very promising and illustrate the design algorithm.

Original languageEnglish (US)
Pages (from-to)662-668
Number of pages7
JournalWorld Academy of Science, Engineering and Technology
StatePublished - Nov 2009


  • Digital filters
  • Minimum noise
  • Multiplier-free
  • Quantization
  • State-space

ASJC Scopus subject areas

  • Engineering(all)


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