Evaluation of Stochastic Cascaded IIR Filters

Naoya Onizawa, Shunsuke Koshita, Shuichi Sakamoto, Masayuki Kawamata, Takahiro Hanyu

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)


Stochastic cascaded IIR filters are used for area-efficient complicated filters in hardware, such as gammatone and gammachirp filters, but the effectiveness of the cascaded form has not been studied in stochastic computation. To evaluate the performance of the stochastic cascaded IIR filters, stochastic direct-form IIR filters are also designed as a baseline filter. The performance of both stochastic filters are simulated in MATLAB and compared with floating-point results in different orders and different stochastic bit lengths. The simulation results show that the cascaded form reduces errors in comparison with the direct form in stochastic IIR filters as well as the well-known effectiveness of the cascaded form in digital IIR filters. In addition, some interesting features of the stochastic IIR filters such as oscillations are exhibited, which are discussed based on spectral analysis.

Original languageEnglish
Title of host publicationProceedings - 2017 IEEE 47th International Symposium on Multiple-Valued Logic, ISMVL 2017
PublisherIEEE Computer Society
Number of pages6
ISBN (Electronic)9781509054954
Publication statusPublished - 2017 Jun 30
Event47th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2017 - Novi Sad, Serbia
Duration: 2017 May 222017 May 24

Publication series

NameProceedings of The International Symposium on Multiple-Valued Logic
ISSN (Print)0195-623X


Conference47th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2017
CityNovi Sad


  • cascaded filter
  • digital circuit implementation
  • IIR filter
  • stochastic computation


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