Evaluation of Stochastic Cascaded IIR Filters

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

doi:10.1109/ISMVL.2017.25

Evaluation of Stochastic Cascaded IIR Filters

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

Tohoku University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

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 language	English
Title of host publication	Proceedings - 2017 IEEE 47th International Symposium on Multiple-Valued Logic, ISMVL 2017
Publisher	IEEE Computer Society
Pages	224-229
Number of pages	6
ISBN (Electronic)	9781509054954
DOIs	https://doi.org/10.1109/ISMVL.2017.25
Publication status	Published - 2017 Jun 30
Event	47th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2017 - Novi Sad, Serbia Duration: 2017 May 22 → 2017 May 24

Publication series

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

Conference

Conference	47th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2017
Country/Territory	Serbia
City	Novi Sad
Period	17/5/22 → 17/5/24

Keywords

cascaded filter
digital circuit implementation
IIR filter
stochastic computation

Access to Document

10.1109/ISMVL.2017.25

Cite this

Onizawa, N., Koshita, S., Sakamoto, S., Kawamata, M., & Hanyu, T. (2017). Evaluation of Stochastic Cascaded IIR Filters. In Proceedings - 2017 IEEE 47th International Symposium on Multiple-Valued Logic, ISMVL 2017 (pp. 224-229). Article 7964995 (Proceedings of The International Symposium on Multiple-Valued Logic). IEEE Computer Society. https://doi.org/10.1109/ISMVL.2017.25

@inproceedings{f2827c12691c432cabb71da58d9e77d7,

title = "Evaluation of Stochastic Cascaded IIR Filters",

abstract = "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.",

keywords = "cascaded filter, digital circuit implementation, IIR filter, stochastic computation",

author = "Naoya Onizawa and Shunsuke Koshita and Shuichi Sakamoto and Masayuki Kawamata and Takahiro Hanyu",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 47th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2017 ; Conference date: 22-05-2017 Through 24-05-2017",

year = "2017",

month = jun,

day = "30",

doi = "10.1109/ISMVL.2017.25",

language = "English",

series = "Proceedings of The International Symposium on Multiple-Valued Logic",

publisher = "IEEE Computer Society",

pages = "224--229",

booktitle = "Proceedings - 2017 IEEE 47th International Symposium on Multiple-Valued Logic, ISMVL 2017",

address = "United States",

}

Onizawa, N, Koshita, S, Sakamoto, S, Kawamata, M & Hanyu, T 2017, Evaluation of Stochastic Cascaded IIR Filters. in Proceedings - 2017 IEEE 47th International Symposium on Multiple-Valued Logic, ISMVL 2017., 7964995, Proceedings of The International Symposium on Multiple-Valued Logic, IEEE Computer Society, pp. 224-229, 47th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2017, Novi Sad, Serbia, 17/5/22. https://doi.org/10.1109/ISMVL.2017.25

Evaluation of Stochastic Cascaded IIR Filters. / Onizawa, Naoya; Koshita, Shunsuke; Sakamoto, Shuichi et al.
Proceedings - 2017 IEEE 47th International Symposium on Multiple-Valued Logic, ISMVL 2017. IEEE Computer Society, 2017. p. 224-229 7964995 (Proceedings of The International Symposium on Multiple-Valued Logic).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Evaluation of Stochastic Cascaded IIR Filters

AU - Onizawa, Naoya

AU - Koshita, Shunsuke

AU - Sakamoto, Shuichi

AU - Kawamata, Masayuki

AU - Hanyu, Takahiro

PY - 2017/6/30

Y1 - 2017/6/30

N2 - 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.

AB - 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.

KW - cascaded filter

KW - digital circuit implementation

KW - IIR filter

KW - stochastic computation

UR - http://www.scopus.com/inward/record.url?scp=85026767549&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85026767549&partnerID=8YFLogxK

U2 - 10.1109/ISMVL.2017.25

DO - 10.1109/ISMVL.2017.25

M3 - Conference contribution

AN - SCOPUS:85026767549

T3 - Proceedings of The International Symposium on Multiple-Valued Logic

SP - 224

EP - 229

BT - Proceedings - 2017 IEEE 47th International Symposium on Multiple-Valued Logic, ISMVL 2017

PB - IEEE Computer Society

T2 - 47th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2017

Y2 - 22 May 2017 through 24 May 2017

ER -

Evaluation of Stochastic Cascaded IIR Filters

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this