research-article

IIR filters using stochastic arithmetic

Authors:

David J. Lilja,

Marc D. RiedelAuthors Info & Claims

DATE '14: Proceedings of the conference on Design, Automation & Test in Europe

Article No.: 73, Pages 1 - 6

Published: 24 March 2014 Publication History

Abstract

We consider the design of IIR filters operating on oversampled sigma-delta modulated bit streams using stochastic arithmetic. Conventional digital filters process multi-bit data at the Nyquist rate using multi-bit multipliers and adders. High resolution ADCs based on the sigma-delta modulation generate random bits at an oversampled rate as intermediate data. We propose to filter the sigma-delta modulated bit streams directly and present first and second order low pass IIR filters based on the stochastic integrator. Experimental results show a significant reduction in hardware area by using stochastic filters.

References

[1]

C. E Shannon, "Communication in the presence of noise," Proceedings of the IEEE, vol.86, no.2, pp.447--457, 1998.

[2]

R. H Walden, "Analog-to-digital converter survey and analysis," IEEE Journal on Selected Areas in Communications, vol.17, no.4, pp.539--550, 1999.

Digital Library

[3]

Bin Le, T. W Rondeau, J. H Reed, C. W Bostian, "Analog-to-digital converters," IEEE Signal Processing Magazine, vol.22, no.6, pp.69--77, 2005.

[4]

J. M de la Rosa, "Sigma-Delta Modulators: Tutorial overview, design guide, and state-of-the-art survey," IEEE Transactions on Circuits and Systems I: Regular Papers, vol.58, no.1, pp.1--21, 2011.

[5]

P. W Wong, R. M Gray, "FIR filters with sigma-delta modulation encoding," IEEE Transactions on Acoustics, Speech and Signal Processing, vol.38, no.6, pp.979--990, 1990.

[6]

P. W Wong, "Fully sigma-delta modulation encoded FIR filters," IEEE Transactions on Signal Processing, vol.40, no.6, pp.1605--1610, 1992.

Digital Library

[7]

S. M Kershaw, S. Summerfield, M. B Sandler, M. Anderson, "Realisation and implementation of a sigma-delta bitstream FIR filter," IEE Proceedings on Circuits, Devices and Systems, vol.143, no.5, pp.267--273, 1996.

[8]

D. A Johns, D. M Lewis, "Design and analysis of delta-sigma based IIR filters," IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, vol.40, no.4, pp.233--240, 1999.

[9]

D. A Johns, D. M Lewis, D Cherepacha, "Highly selective 'analog' filters using ΔΣ based IIR filtering," IEEE International Symposium on Circuits and Systems, pp.1302--1305, vol.2, 1993.

[10]

B. R Owen, D. A Johns, "A single-column structure for delta-sigma based IIR filters," IEEE International Symposium on Circuits and Systems, vol.5, pp.2413--416, 1992.

[11]

E Pfann, R. W Stewart, M. W Hoffman, "Oversampled sigma-delta LMS adaptive FIR filters," IEE Proceedings on Vision, Image and Signal Processing, vol.147, no.5, pp.385--392, 2000.

[12]

Q Huang, G. S Moschytz, "Analog multiplierless LMS adaptive FIR filter structures," IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing,vol.40, no.12, pp.790--794, 1993.

[13]

F Maloberti, "Non-conventional signal processing by the use of sigma delta technique: a tutorial introduction," IEEE International Symposium on Circuits and Systems, vol.6,pp.2645--2648 vol.6, 1992.

[14]

V da Fonte Dias, "Sigma-delta signal processing," IEEE International Symposium on Circuits and Systems, vol.5, pp.421--424, 1994.

[15]

B. R Gaines, "Stochastic Computing Systems," Advances in Information Systems Science, J. F. Tou, vol.2, chapter 2, pp.37--172, New York: Plenum, 1969.

[16]

J. G Proakis, "Digital Signal Processing," 4^th Edition.

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Cited By

Daruwalla KZhuo HSchulz CLipasti MChen JShrivastava A(2019)BitBench: a benchmark for bitstream computingProceedings of the 20th ACM SIGPLAN/SIGBED International Conference on Languages, Compilers, and Tools for Embedded Systems10.1145/3316482.3326355(177-187)Online publication date: 23-Jun-2019
https://dl.acm.org/doi/10.1145/3316482.3326355
Liu SHan J(2018)Toward Energy-Efficient Stochastic Circuits Using Parallel Sobol SequencesIEEE Transactions on Very Large Scale Integration (VLSI) Systems10.1109/TVLSI.2018.281221426:7(1326-1339)Online publication date: 1-Jul-2018
https://dl.acm.org/doi/10.1109/TVLSI.2018.2812214
Liu SHan J(2017)Hardware ODE Solvers using Stochastic CircuitsProceedings of the 54th Annual Design Automation Conference 201710.1145/3061639.3062258(1-6)Online publication date: 18-Jun-2017
https://dl.acm.org/doi/10.1145/3061639.3062258
Show More Cited By

Index Terms

IIR filters using stochastic arithmetic
1. Hardware

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Published In

cover image ACM Other conferences

DATE '14: Proceedings of the conference on Design, Automation & Test in Europe

March 2014

1959 pages

ISBN:9783981537024

General Chairs:
Gerhard Fettweis
TU Dresden, DE
,
Wolfgang Nebel
OFFIS, DE

Sponsors

EDAA: European Design Automation Association
ECSI
EDAC: Electronic Design Automation Consortium
IEEE Council on Electronic Design Automation (CEDA)
The Russian Academy of Sciences: The Russian Academy of Sciences

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SIGDA: ACM Special Interest Group on Design Automation

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European Design and Automation Association

Leuven, Belgium

Publication History

Published: 24 March 2014

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DATE '14

Sponsor:

EDAA
EDAC
The Russian Academy of Sciences

DATE '14: Design, Automation and Test in Europe

March 24 - 28, 2014

Dresden, Germany

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Overall Acceptance Rate 518 of 1,794 submissions, 29%

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Citations

Cited By

Daruwalla KZhuo HSchulz CLipasti MChen JShrivastava A(2019)BitBench: a benchmark for bitstream computingProceedings of the 20th ACM SIGPLAN/SIGBED International Conference on Languages, Compilers, and Tools for Embedded Systems10.1145/3316482.3326355(177-187)Online publication date: 23-Jun-2019
https://dl.acm.org/doi/10.1145/3316482.3326355
Liu SHan J(2018)Toward Energy-Efficient Stochastic Circuits Using Parallel Sobol SequencesIEEE Transactions on Very Large Scale Integration (VLSI) Systems10.1109/TVLSI.2018.281221426:7(1326-1339)Online publication date: 1-Jul-2018
https://dl.acm.org/doi/10.1109/TVLSI.2018.2812214
Liu SHan J(2017)Hardware ODE Solvers using Stochastic CircuitsProceedings of the 54th Annual Design Automation Conference 201710.1145/3061639.3062258(1-6)Online publication date: 18-Jun-2017
https://dl.acm.org/doi/10.1145/3061639.3062258
Wang ZSaraf NBazargan KScheel A(2015)Randomness meets feedbackProceedings of the 52nd Annual Design Automation Conference10.1145/2744769.2744898(1-7)Online publication date: 7-Jun-2015
https://dl.acm.org/doi/10.1145/2744769.2744898

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