An Accuracy-Adjustment Fixed-Width Booth Multiplier Based on Multilevel Conditional Probability
This brief proposes an accuracy-adjustment fixed-width Booth multiplier that compensates the truncation error using a multilevel conditional probability (MLCP) estimator and derives a closed form for various bit widths L and column information w. Compared with the exhaustive simulations strategy, th...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Yuan-Ho Chen [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
multilevel conditional probability (MLCP) accuracy-adjustment fixed-width booth multiplier multilevel conditional probability method exhaustive simulations strategy |
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| Übergeordnetes Werk: |
Enthalten in: IEEE transactions on very large scale integration (VLSI) systems - New York, NY : Institute of Electrical and Electronics Engineers, 1993, 23(2015), 1, Seite 203-207 |
|---|---|
| Übergeordnetes Werk: |
volume:23 ; year:2015 ; number:1 ; pages:203-207 |
| Links: |
|---|
| DOI / URN: |
10.1109/TVLSI.2014.2302447 |
|---|
| Katalog-ID: |
OLC1959572997 |
|---|
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| 520 | |a This brief proposes an accuracy-adjustment fixed-width Booth multiplier that compensates the truncation error using a multilevel conditional probability (MLCP) estimator and derives a closed form for various bit widths L and column information w. Compared with the exhaustive simulations strategy, the proposed MLCP estimator substantially reduces simulation time and easily adjusts accuracy based on mathematical derivations. Unlike previous conditional-probability methods, the proposed MLCP uses entire nonzero code, namely MLCP, to estimate the truncation error and achieve higher accuracy levels. Furthermore, the simple and small MLCP compensated circuit is proposed in this brief. The results of this brief show that the proposed MLCP Booth multipliers achieve low-cost high-accuracy performance. | ||
| 650 | 4 | |a truncation error | |
| 650 | 4 | |a multilevel conditional probability (MLCP) | |
| 650 | 4 | |a Encoding | |
| 650 | 4 | |a truncation error compensation | |
| 650 | 4 | |a Accuracy | |
| 650 | 4 | |a mathematical derivations | |
| 650 | 4 | |a multiplying circuits | |
| 650 | 4 | |a simulation time reduction | |
| 650 | 4 | |a accuracy-adjustment fixed-width booth multiplier | |
| 650 | 4 | |a multilevel conditional probability method | |
| 650 | 4 | |a exhaustive simulations strategy | |
| 650 | 4 | |a error compensation | |
| 650 | 4 | |a probability | |
| 650 | 4 | |a MLCP estimator | |
| 650 | 4 | |a nonzero code | |
| 650 | 4 | |a column information | |
| 650 | 4 | |a Very large scale integration | |
| 650 | 4 | |a Fixed-width Booth multiplier | |
| 650 | 4 | |a Integrated circuit modeling | |
| 650 | 4 | |a small MLCP compensated circuit | |
| 650 | 4 | |a Finite wordlength effects | |
| 650 | 4 | |a Mathematical model | |
| 650 | 4 | |a bit widths | |
| 650 | 4 | |a Delays | |
| 650 | 4 | |a low-cost high-accuracy performance | |
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10.1109/TVLSI.2014.2302447 doi PQ20160617 (DE-627)OLC1959572997 (DE-599)GBVOLC1959572997 (PRQ)c2120-3d448e94a13a13998b8c3fd4547f7bd9d8ba18a64a5feaa035dc80598843a1f90 (KEY)0226264920150000023000100203accuracyadjustmentfixedwidthboothmultiplierbasedon DE-627 ger DE-627 rakwb eng 004 620 DNB Yuan-Ho Chen verfasserin aut An Accuracy-Adjustment Fixed-Width Booth Multiplier Based on Multilevel Conditional Probability 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This brief proposes an accuracy-adjustment fixed-width Booth multiplier that compensates the truncation error using a multilevel conditional probability (MLCP) estimator and derives a closed form for various bit widths L and column information w. Compared with the exhaustive simulations strategy, the proposed MLCP estimator substantially reduces simulation time and easily adjusts accuracy based on mathematical derivations. Unlike previous conditional-probability methods, the proposed MLCP uses entire nonzero code, namely MLCP, to estimate the truncation error and achieve higher accuracy levels. Furthermore, the simple and small MLCP compensated circuit is proposed in this brief. The results of this brief show that the proposed MLCP Booth multipliers achieve low-cost high-accuracy performance. truncation error multilevel conditional probability (MLCP) Encoding truncation error compensation Accuracy mathematical derivations multiplying circuits simulation time reduction accuracy-adjustment fixed-width booth multiplier multilevel conditional probability method exhaustive simulations strategy error compensation probability MLCP estimator nonzero code column information Very large scale integration Fixed-width Booth multiplier Integrated circuit modeling small MLCP compensated circuit Finite wordlength effects Mathematical model bit widths Delays low-cost high-accuracy performance Enthalten in IEEE transactions on very large scale integration (VLSI) systems New York, NY : Institute of Electrical and Electronics Engineers, 1993 23(2015), 1, Seite 203-207 (DE-627)165670282 (DE-600)1151835-2 (DE-576)034204024 1063-8210 nnns volume:23 year:2015 number:1 pages:203-207 http://dx.doi.org/10.1109/TVLSI.2014.2302447 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6737301 http://search.proquest.com/docview/1647791513 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2002 AR 23 2015 1 203-207 |
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10.1109/TVLSI.2014.2302447 doi PQ20160617 (DE-627)OLC1959572997 (DE-599)GBVOLC1959572997 (PRQ)c2120-3d448e94a13a13998b8c3fd4547f7bd9d8ba18a64a5feaa035dc80598843a1f90 (KEY)0226264920150000023000100203accuracyadjustmentfixedwidthboothmultiplierbasedon DE-627 ger DE-627 rakwb eng 004 620 DNB Yuan-Ho Chen verfasserin aut An Accuracy-Adjustment Fixed-Width Booth Multiplier Based on Multilevel Conditional Probability 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This brief proposes an accuracy-adjustment fixed-width Booth multiplier that compensates the truncation error using a multilevel conditional probability (MLCP) estimator and derives a closed form for various bit widths L and column information w. Compared with the exhaustive simulations strategy, the proposed MLCP estimator substantially reduces simulation time and easily adjusts accuracy based on mathematical derivations. Unlike previous conditional-probability methods, the proposed MLCP uses entire nonzero code, namely MLCP, to estimate the truncation error and achieve higher accuracy levels. Furthermore, the simple and small MLCP compensated circuit is proposed in this brief. The results of this brief show that the proposed MLCP Booth multipliers achieve low-cost high-accuracy performance. truncation error multilevel conditional probability (MLCP) Encoding truncation error compensation Accuracy mathematical derivations multiplying circuits simulation time reduction accuracy-adjustment fixed-width booth multiplier multilevel conditional probability method exhaustive simulations strategy error compensation probability MLCP estimator nonzero code column information Very large scale integration Fixed-width Booth multiplier Integrated circuit modeling small MLCP compensated circuit Finite wordlength effects Mathematical model bit widths Delays low-cost high-accuracy performance Enthalten in IEEE transactions on very large scale integration (VLSI) systems New York, NY : Institute of Electrical and Electronics Engineers, 1993 23(2015), 1, Seite 203-207 (DE-627)165670282 (DE-600)1151835-2 (DE-576)034204024 1063-8210 nnns volume:23 year:2015 number:1 pages:203-207 http://dx.doi.org/10.1109/TVLSI.2014.2302447 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6737301 http://search.proquest.com/docview/1647791513 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2002 AR 23 2015 1 203-207 |
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10.1109/TVLSI.2014.2302447 doi PQ20160617 (DE-627)OLC1959572997 (DE-599)GBVOLC1959572997 (PRQ)c2120-3d448e94a13a13998b8c3fd4547f7bd9d8ba18a64a5feaa035dc80598843a1f90 (KEY)0226264920150000023000100203accuracyadjustmentfixedwidthboothmultiplierbasedon DE-627 ger DE-627 rakwb eng 004 620 DNB Yuan-Ho Chen verfasserin aut An Accuracy-Adjustment Fixed-Width Booth Multiplier Based on Multilevel Conditional Probability 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This brief proposes an accuracy-adjustment fixed-width Booth multiplier that compensates the truncation error using a multilevel conditional probability (MLCP) estimator and derives a closed form for various bit widths L and column information w. Compared with the exhaustive simulations strategy, the proposed MLCP estimator substantially reduces simulation time and easily adjusts accuracy based on mathematical derivations. Unlike previous conditional-probability methods, the proposed MLCP uses entire nonzero code, namely MLCP, to estimate the truncation error and achieve higher accuracy levels. Furthermore, the simple and small MLCP compensated circuit is proposed in this brief. The results of this brief show that the proposed MLCP Booth multipliers achieve low-cost high-accuracy performance. truncation error multilevel conditional probability (MLCP) Encoding truncation error compensation Accuracy mathematical derivations multiplying circuits simulation time reduction accuracy-adjustment fixed-width booth multiplier multilevel conditional probability method exhaustive simulations strategy error compensation probability MLCP estimator nonzero code column information Very large scale integration Fixed-width Booth multiplier Integrated circuit modeling small MLCP compensated circuit Finite wordlength effects Mathematical model bit widths Delays low-cost high-accuracy performance Enthalten in IEEE transactions on very large scale integration (VLSI) systems New York, NY : Institute of Electrical and Electronics Engineers, 1993 23(2015), 1, Seite 203-207 (DE-627)165670282 (DE-600)1151835-2 (DE-576)034204024 1063-8210 nnns volume:23 year:2015 number:1 pages:203-207 http://dx.doi.org/10.1109/TVLSI.2014.2302447 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6737301 http://search.proquest.com/docview/1647791513 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2002 AR 23 2015 1 203-207 |
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10.1109/TVLSI.2014.2302447 doi PQ20160617 (DE-627)OLC1959572997 (DE-599)GBVOLC1959572997 (PRQ)c2120-3d448e94a13a13998b8c3fd4547f7bd9d8ba18a64a5feaa035dc80598843a1f90 (KEY)0226264920150000023000100203accuracyadjustmentfixedwidthboothmultiplierbasedon DE-627 ger DE-627 rakwb eng 004 620 DNB Yuan-Ho Chen verfasserin aut An Accuracy-Adjustment Fixed-Width Booth Multiplier Based on Multilevel Conditional Probability 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This brief proposes an accuracy-adjustment fixed-width Booth multiplier that compensates the truncation error using a multilevel conditional probability (MLCP) estimator and derives a closed form for various bit widths L and column information w. Compared with the exhaustive simulations strategy, the proposed MLCP estimator substantially reduces simulation time and easily adjusts accuracy based on mathematical derivations. Unlike previous conditional-probability methods, the proposed MLCP uses entire nonzero code, namely MLCP, to estimate the truncation error and achieve higher accuracy levels. Furthermore, the simple and small MLCP compensated circuit is proposed in this brief. The results of this brief show that the proposed MLCP Booth multipliers achieve low-cost high-accuracy performance. truncation error multilevel conditional probability (MLCP) Encoding truncation error compensation Accuracy mathematical derivations multiplying circuits simulation time reduction accuracy-adjustment fixed-width booth multiplier multilevel conditional probability method exhaustive simulations strategy error compensation probability MLCP estimator nonzero code column information Very large scale integration Fixed-width Booth multiplier Integrated circuit modeling small MLCP compensated circuit Finite wordlength effects Mathematical model bit widths Delays low-cost high-accuracy performance Enthalten in IEEE transactions on very large scale integration (VLSI) systems New York, NY : Institute of Electrical and Electronics Engineers, 1993 23(2015), 1, Seite 203-207 (DE-627)165670282 (DE-600)1151835-2 (DE-576)034204024 1063-8210 nnns volume:23 year:2015 number:1 pages:203-207 http://dx.doi.org/10.1109/TVLSI.2014.2302447 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6737301 http://search.proquest.com/docview/1647791513 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2002 AR 23 2015 1 203-207 |
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10.1109/TVLSI.2014.2302447 doi PQ20160617 (DE-627)OLC1959572997 (DE-599)GBVOLC1959572997 (PRQ)c2120-3d448e94a13a13998b8c3fd4547f7bd9d8ba18a64a5feaa035dc80598843a1f90 (KEY)0226264920150000023000100203accuracyadjustmentfixedwidthboothmultiplierbasedon DE-627 ger DE-627 rakwb eng 004 620 DNB Yuan-Ho Chen verfasserin aut An Accuracy-Adjustment Fixed-Width Booth Multiplier Based on Multilevel Conditional Probability 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This brief proposes an accuracy-adjustment fixed-width Booth multiplier that compensates the truncation error using a multilevel conditional probability (MLCP) estimator and derives a closed form for various bit widths L and column information w. Compared with the exhaustive simulations strategy, the proposed MLCP estimator substantially reduces simulation time and easily adjusts accuracy based on mathematical derivations. Unlike previous conditional-probability methods, the proposed MLCP uses entire nonzero code, namely MLCP, to estimate the truncation error and achieve higher accuracy levels. Furthermore, the simple and small MLCP compensated circuit is proposed in this brief. The results of this brief show that the proposed MLCP Booth multipliers achieve low-cost high-accuracy performance. truncation error multilevel conditional probability (MLCP) Encoding truncation error compensation Accuracy mathematical derivations multiplying circuits simulation time reduction accuracy-adjustment fixed-width booth multiplier multilevel conditional probability method exhaustive simulations strategy error compensation probability MLCP estimator nonzero code column information Very large scale integration Fixed-width Booth multiplier Integrated circuit modeling small MLCP compensated circuit Finite wordlength effects Mathematical model bit widths Delays low-cost high-accuracy performance Enthalten in IEEE transactions on very large scale integration (VLSI) systems New York, NY : Institute of Electrical and Electronics Engineers, 1993 23(2015), 1, Seite 203-207 (DE-627)165670282 (DE-600)1151835-2 (DE-576)034204024 1063-8210 nnns volume:23 year:2015 number:1 pages:203-207 http://dx.doi.org/10.1109/TVLSI.2014.2302447 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6737301 http://search.proquest.com/docview/1647791513 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2002 AR 23 2015 1 203-207 |
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Yuan-Ho Chen |
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Yuan-Ho Chen ddc 004 misc truncation error misc multilevel conditional probability (MLCP) misc Encoding misc truncation error compensation misc Accuracy misc mathematical derivations misc multiplying circuits misc simulation time reduction misc accuracy-adjustment fixed-width booth multiplier misc multilevel conditional probability method misc exhaustive simulations strategy misc error compensation misc probability misc MLCP estimator misc nonzero code misc column information misc Very large scale integration misc Fixed-width Booth multiplier misc Integrated circuit modeling misc small MLCP compensated circuit misc Finite wordlength effects misc Mathematical model misc bit widths misc Delays misc low-cost high-accuracy performance An Accuracy-Adjustment Fixed-Width Booth Multiplier Based on Multilevel Conditional Probability |
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004 620 DNB An Accuracy-Adjustment Fixed-Width Booth Multiplier Based on Multilevel Conditional Probability truncation error multilevel conditional probability (MLCP) Encoding truncation error compensation Accuracy mathematical derivations multiplying circuits simulation time reduction accuracy-adjustment fixed-width booth multiplier multilevel conditional probability method exhaustive simulations strategy error compensation probability MLCP estimator nonzero code column information Very large scale integration Fixed-width Booth multiplier Integrated circuit modeling small MLCP compensated circuit Finite wordlength effects Mathematical model bit widths Delays low-cost high-accuracy performance |
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ddc 004 misc truncation error misc multilevel conditional probability (MLCP) misc Encoding misc truncation error compensation misc Accuracy misc mathematical derivations misc multiplying circuits misc simulation time reduction misc accuracy-adjustment fixed-width booth multiplier misc multilevel conditional probability method misc exhaustive simulations strategy misc error compensation misc probability misc MLCP estimator misc nonzero code misc column information misc Very large scale integration misc Fixed-width Booth multiplier misc Integrated circuit modeling misc small MLCP compensated circuit misc Finite wordlength effects misc Mathematical model misc bit widths misc Delays misc low-cost high-accuracy performance |
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ddc 004 misc truncation error misc multilevel conditional probability (MLCP) misc Encoding misc truncation error compensation misc Accuracy misc mathematical derivations misc multiplying circuits misc simulation time reduction misc accuracy-adjustment fixed-width booth multiplier misc multilevel conditional probability method misc exhaustive simulations strategy misc error compensation misc probability misc MLCP estimator misc nonzero code misc column information misc Very large scale integration misc Fixed-width Booth multiplier misc Integrated circuit modeling misc small MLCP compensated circuit misc Finite wordlength effects misc Mathematical model misc bit widths misc Delays misc low-cost high-accuracy performance |
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ddc 004 misc truncation error misc multilevel conditional probability (MLCP) misc Encoding misc truncation error compensation misc Accuracy misc mathematical derivations misc multiplying circuits misc simulation time reduction misc accuracy-adjustment fixed-width booth multiplier misc multilevel conditional probability method misc exhaustive simulations strategy misc error compensation misc probability misc MLCP estimator misc nonzero code misc column information misc Very large scale integration misc Fixed-width Booth multiplier misc Integrated circuit modeling misc small MLCP compensated circuit misc Finite wordlength effects misc Mathematical model misc bit widths misc Delays misc low-cost high-accuracy performance |
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An Accuracy-Adjustment Fixed-Width Booth Multiplier Based on Multilevel Conditional Probability |
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10.1109/TVLSI.2014.2302447 |
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accuracy-adjustment fixed-width booth multiplier based on multilevel conditional probability |
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An Accuracy-Adjustment Fixed-Width Booth Multiplier Based on Multilevel Conditional Probability |
| abstract |
This brief proposes an accuracy-adjustment fixed-width Booth multiplier that compensates the truncation error using a multilevel conditional probability (MLCP) estimator and derives a closed form for various bit widths L and column information w. Compared with the exhaustive simulations strategy, the proposed MLCP estimator substantially reduces simulation time and easily adjusts accuracy based on mathematical derivations. Unlike previous conditional-probability methods, the proposed MLCP uses entire nonzero code, namely MLCP, to estimate the truncation error and achieve higher accuracy levels. Furthermore, the simple and small MLCP compensated circuit is proposed in this brief. The results of this brief show that the proposed MLCP Booth multipliers achieve low-cost high-accuracy performance. |
| abstractGer |
This brief proposes an accuracy-adjustment fixed-width Booth multiplier that compensates the truncation error using a multilevel conditional probability (MLCP) estimator and derives a closed form for various bit widths L and column information w. Compared with the exhaustive simulations strategy, the proposed MLCP estimator substantially reduces simulation time and easily adjusts accuracy based on mathematical derivations. Unlike previous conditional-probability methods, the proposed MLCP uses entire nonzero code, namely MLCP, to estimate the truncation error and achieve higher accuracy levels. Furthermore, the simple and small MLCP compensated circuit is proposed in this brief. The results of this brief show that the proposed MLCP Booth multipliers achieve low-cost high-accuracy performance. |
| abstract_unstemmed |
This brief proposes an accuracy-adjustment fixed-width Booth multiplier that compensates the truncation error using a multilevel conditional probability (MLCP) estimator and derives a closed form for various bit widths L and column information w. Compared with the exhaustive simulations strategy, the proposed MLCP estimator substantially reduces simulation time and easily adjusts accuracy based on mathematical derivations. Unlike previous conditional-probability methods, the proposed MLCP uses entire nonzero code, namely MLCP, to estimate the truncation error and achieve higher accuracy levels. Furthermore, the simple and small MLCP compensated circuit is proposed in this brief. The results of this brief show that the proposed MLCP Booth multipliers achieve low-cost high-accuracy performance. |
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An Accuracy-Adjustment Fixed-Width Booth Multiplier Based on Multilevel Conditional Probability |
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http://dx.doi.org/10.1109/TVLSI.2014.2302447 http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6737301 http://search.proquest.com/docview/1647791513 |
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