Scaled IIR filter based on stochastic computation

Naoya Onizawa, Shunsuke Koshita, Takahiro Hanyu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)


This paper introduces a scaled IIR filter based on stochastic computation. The stochastic IIR filter can provide an area-efficient hardware implementation that replaces a multiplier used in a traditional implementation by a simple logic gate. However, it strongly suffers from overflow of internal values as stochastic computation represents limited real values within -1 to 1, which significantly degrades the performance of the stochastic IIR filter. In order to maintain internal values within -1 to 1, the proposed stochastic IIR filter exploits a scaling method based on an L norm. An input signal is scaled down by a scaling coefficient and then is scaled up after a feedback-loop block to provide a signal amplitude desired. As a design example, second-order low-pass IIR filters based on stochastic computation are designed and simulated in MATLAB. The proposed scaled stochastic IIR filter provides a similar response to an ideal floating-point IIR filter while a stochastic IIR filter without scaling degrades a signal amplitude by 19.2 dB with a frequency lower than a desired cutoff frequency.

Original languageEnglish
Title of host publicationIEEE 58th International Midwest Symposium on Circuits and Systems
Subtitle of host publicationClimbing to New Heights, MWSCAS 2015 - Conference Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781467365574
Publication statusPublished - 2015 Sep 28
Event58th IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2015 - Fort Collins, United States
Duration: 2015 Aug 22015 Aug 5

Publication series

NameMidwest Symposium on Circuits and Systems
ISSN (Print)1548-3746


Other58th IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2015
Country/TerritoryUnited States
CityFort Collins

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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