IEICE TRANSACTIONS on Information
Efficient Methods to Generate Constant SNs with Considering Trade-Off between Error and Overhead and Its Evaluation
Summary :
In Stochastic Computing (SC), we need to generate many stochastic numbers (SNs). If we generate one SN conventionally, we need a Stochastic Number Generator (SNG) which consists of a linear-feedback shift register (LFSR) and a comparator. When we calculate an arithmetic function by SC, we need to generate many SNs whose values are equal to constant values used in the arithmetic function. As a consequence, the hardware overhead becomes huge. Accordingly, there has been proposed a method called GMCS (Generating Many Constant SNs from Few SNs) to generate many constant SNs with low hardware overhead. However, if we use GMCS simply, generated constant SNs are correlated highly with each other. This would be a serious problem because the high correlation of SNs make a large error in computation. Therefore, in this paper, we propose efficient methods to generate constant SNs with reasonably low hardware overhead without increasing errors. To reduce the correlations of constant SNs which are generated by GMCS, we use Register based Re-arrangement circuit using a Random bit stream duplicator (RRRD). RRRDs have few influences on the hardware overhead because an RRRD consists of three multiplexers (MUXs) and two 1-bit FFs. We also use a technique to share random number generators with several SNGs to reduce the hardware overhead. We provide some experimental results by which we can confirm that our proposed methods are in general very useful to reduce the hardware overhead for generating constant SNs without increasing errors.
- Publication
- IEICE TRANSACTIONS on Information Vol.E103-D No.2 pp.321-328
- Publication Date
- 2020/02/01
- Publicized
- 2019/11/12
- Online ISSN
- 1745-1361
- DOI
- 10.1587/transinf.2018EDP7435
- Type of Manuscript
- PAPER
- Category
- Computer System
Authors
Yudai SAKAMOTO
Ritsumeikan University
Shigeru YAMASHITA
Ritsumeikan University
Keyword
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
Yudai SAKAMOTO, Shigeru YAMASHITA, "Efficient Methods to Generate Constant SNs with Considering Trade-Off between Error and Overhead and Its Evaluation" in IEICE TRANSACTIONS on Information,
vol. E103-D, no. 2, pp. 321-328, February 2020, doi: 10.1587/transinf.2018EDP7435.
Abstract: In Stochastic Computing (SC), we need to generate many stochastic numbers (SNs). If we generate one SN conventionally, we need a Stochastic Number Generator (SNG) which consists of a linear-feedback shift register (LFSR) and a comparator. When we calculate an arithmetic function by SC, we need to generate many SNs whose values are equal to constant values used in the arithmetic function. As a consequence, the hardware overhead becomes huge. Accordingly, there has been proposed a method called GMCS (Generating Many Constant SNs from Few SNs) to generate many constant SNs with low hardware overhead. However, if we use GMCS simply, generated constant SNs are correlated highly with each other. This would be a serious problem because the high correlation of SNs make a large error in computation. Therefore, in this paper, we propose efficient methods to generate constant SNs with reasonably low hardware overhead without increasing errors. To reduce the correlations of constant SNs which are generated by GMCS, we use Register based Re-arrangement circuit using a Random bit stream duplicator (RRRD). RRRDs have few influences on the hardware overhead because an RRRD consists of three multiplexers (MUXs) and two 1-bit FFs. We also use a technique to share random number generators with several SNGs to reduce the hardware overhead. We provide some experimental results by which we can confirm that our proposed methods are in general very useful to reduce the hardware overhead for generating constant SNs without increasing errors.
URL: https://global.ieice.org/en_transactions/information/10.1587/transinf.2018EDP7435/_p
Copy
@ARTICLE{e103-d_2_321,
author={Yudai SAKAMOTO, Shigeru YAMASHITA, },
journal={IEICE TRANSACTIONS on Information},
title={Efficient Methods to Generate Constant SNs with Considering Trade-Off between Error and Overhead and Its Evaluation},
year={2020},
volume={E103-D},
number={2},
pages={321-328},
abstract={In Stochastic Computing (SC), we need to generate many stochastic numbers (SNs). If we generate one SN conventionally, we need a Stochastic Number Generator (SNG) which consists of a linear-feedback shift register (LFSR) and a comparator. When we calculate an arithmetic function by SC, we need to generate many SNs whose values are equal to constant values used in the arithmetic function. As a consequence, the hardware overhead becomes huge. Accordingly, there has been proposed a method called GMCS (Generating Many Constant SNs from Few SNs) to generate many constant SNs with low hardware overhead. However, if we use GMCS simply, generated constant SNs are correlated highly with each other. This would be a serious problem because the high correlation of SNs make a large error in computation. Therefore, in this paper, we propose efficient methods to generate constant SNs with reasonably low hardware overhead without increasing errors. To reduce the correlations of constant SNs which are generated by GMCS, we use Register based Re-arrangement circuit using a Random bit stream duplicator (RRRD). RRRDs have few influences on the hardware overhead because an RRRD consists of three multiplexers (MUXs) and two 1-bit FFs. We also use a technique to share random number generators with several SNGs to reduce the hardware overhead. We provide some experimental results by which we can confirm that our proposed methods are in general very useful to reduce the hardware overhead for generating constant SNs without increasing errors.},
keywords={},
doi={10.1587/transinf.2018EDP7435},
ISSN={1745-1361},
month={February},}
Copy
TY - JOUR
TI - Efficient Methods to Generate Constant SNs with Considering Trade-Off between Error and Overhead and Its Evaluation
T2 - IEICE TRANSACTIONS on Information
SP - 321
EP - 328
AU - Yudai SAKAMOTO
AU - Shigeru YAMASHITA
PY - 2020
DO - 10.1587/transinf.2018EDP7435
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E103-D
IS - 2
JA - IEICE TRANSACTIONS on Information
Y1 - February 2020
AB - In Stochastic Computing (SC), we need to generate many stochastic numbers (SNs). If we generate one SN conventionally, we need a Stochastic Number Generator (SNG) which consists of a linear-feedback shift register (LFSR) and a comparator. When we calculate an arithmetic function by SC, we need to generate many SNs whose values are equal to constant values used in the arithmetic function. As a consequence, the hardware overhead becomes huge. Accordingly, there has been proposed a method called GMCS (Generating Many Constant SNs from Few SNs) to generate many constant SNs with low hardware overhead. However, if we use GMCS simply, generated constant SNs are correlated highly with each other. This would be a serious problem because the high correlation of SNs make a large error in computation. Therefore, in this paper, we propose efficient methods to generate constant SNs with reasonably low hardware overhead without increasing errors. To reduce the correlations of constant SNs which are generated by GMCS, we use Register based Re-arrangement circuit using a Random bit stream duplicator (RRRD). RRRDs have few influences on the hardware overhead because an RRRD consists of three multiplexers (MUXs) and two 1-bit FFs. We also use a technique to share random number generators with several SNGs to reduce the hardware overhead. We provide some experimental results by which we can confirm that our proposed methods are in general very useful to reduce the hardware overhead for generating constant SNs without increasing errors.
ER -
English
