Mark G. Arnold

Ganesh Gopalakrishnan

Proceedings of the IEEE 32nd Symposium on Computer Arithmetic, 2025

2024

Towards Automated Verification of Logarithmic Arithmetic.

[BibT_eX]

[DOI]

CoRR, 2024

2022

CONTROL-CORE: A Framework for Simulation and Design of Closed-Loop Peripheral Neuromodulation Control Systems.

[BibT_eX]

[DOI]

Pradeeban Kathiravelu

IEEE Access, 2022

Towards Quantum Logarithm Number Systems.

[BibT_eX]

[DOI]

Proceedings of the 29th IEEE Symposium on Computer Arithmetic, 2022

2020

Implementing the Residue Logarithmic Number System Using Interpolation and Cotransformation.

[BibT_eX]

[DOI]

Vassilis Paliouras

Ioannis Kouretas

IEEE Trans. Computers, 2020

Training Neural Nets using only an Approximate Tableless LNS ALU.

[BibT_eX]

[DOI]

Ed Chester

Corey Johnson

Proceedings of the 31st IEEE International Conference on Application-specific Systems, 2020

2019

One-Hot Residue Logarithmic Number Systems.

[BibT_eX]

[DOI]

Proceedings of the 29th International Symposium on Power and Timing Modeling, 2019

Optimizing Mitchell's Method for Approximate Logarithmic Addition via Base Selection with Application to Back-Propagation.

[BibT_eX]

[DOI]

Proceedings of the 2019 IEEE Nordic Circuits and Systems Conference, 2019

Under- and Overflow Detection in the Residue Logarithmic Number System.

[BibT_eX]

[DOI]

Proceedings of the 26th IEEE Symposium on Computer Arithmetic, 2019

2016

Guarding the guards: Enhancing LNS performance for common applications.

[BibT_eX]

[DOI]

Ed Chester

Proceedings of the 27th IEEE International Conference on Application-specific Systems, 2016

2014

Options for Denormal Representation in Logarithmic Arithmetic.

[BibT_eX]

[DOI]

J. Signal Process. Syst., 2014

2013

Improved DNA-sticker arithmetic: tube-encoded-carry, Logarithmic Number System and Monte-Carlo methods.

[BibT_eX]

[DOI]

Nat. Comput., 2013

Extending DNA-Sticker Arithmetic to Arbitrary Size Using Staples.

[BibT_eX]

[DOI]

Proceedings of the DNA Computing and Molecular Programming - 19th International Conference, 2013

The Denormal Logarithmic Number System.

[BibT_eX]

[DOI]

Proceedings of the 24th International Conference on Application-Specific Systems, 2013

2011

A Real/Complex Logarithmic Number System ALU.

[BibT_eX]

[DOI]

IEEE Trans. Computers, 2011

Configuring Field-Programmable Robot Arrays.

[BibT_eX]

[DOI]

Proceedings of the 2011 International Conference on Reconfigurable Computing and FPGAs, 2011

An Improved DNA-Sticker Addition Algorithm and Its Application to Logarithmic Arithmetic.

[BibT_eX]

[DOI]

Proceedings of the DNA Computing and Molecular Programming - 17th International Conference, 2011

A Residue Logarithmic Number System ALU using interpolation and cotransformation.

[BibT_eX]

[DOI]

Ioannis Kouretas

Vassilis Paliouras

Proceedings of the 22nd IEEE International Conference on Application-specific Systems, 2011

Towards a Quaternion Complex Logarithmic Number System.

[BibT_eX]

[DOI]

Proceedings of the 20th IEEE Symposium on Computer Arithmetic, 2011

2010

A Novel Cotransformation for LNS Subtraction.

[BibT_eX]

[DOI]

J. Signal Process. Syst., 2010

Bitstream Efficiency of Field Programmable One-Hot Arrays.

[BibT_eX]

[DOI]

Proceedings of the IEEE Computer Society Annual Symposium on VLSI, 2010

Dual-stylus-arm scratch drive micro-robots controlled by a communication channel.

[BibT_eX]

[DOI]

Proceedings of the International Symposium on Circuits and Systems (ISCAS 2010), May 30, 2010

Dual-stylus-arm scratch drive micro-robots controlled by an onboard parallax algorithm.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Robotics and Automation, 2010

Implementing LNS using filtering units of GPUs.

[BibT_eX]

[DOI]

David Defour

Proceedings of the IEEE International Conference on Acoustics, 2010

Low-voltage Scratch-drive Micro-scalpels Controlled by a Binary-encoded Signal.

[BibT_eX]

Proceedings of the BIODEVICES 2010, 2010

2009

A System-on-a-Chip Implementation for Embedded Real-Time Model Predictive Control.

[BibT_eX]

[DOI]

IEEE Trans. Control. Syst. Technol., 2009

Parallax-Docking and Reconfiguration of Field Programmable Robot Arrays Using an Intermittently-Powered One-Hot Controller.

[BibT_eX]

[DOI]

Proceedings of the ReConFig'09: 2009 International Conference on Reconfigurable Computing and FPGAs, 2009

Powering embedded CMOS logic on MEMS-based micro-robots.

[BibT_eX]

[DOI]

Proceedings of the 2009 IEEE International Behavioral Modeling and Simulation Workshop, 2009

A Dual-Purpose Real/Complex Logarithmic Number System ALU.

[BibT_eX]

[DOI]

Proceedings of the 19th IEEE Symposium on Computer Arithmetic, 2009

2007

Monte Carlo Logarithmic Number System for Model Predictive Control.

[BibT_eX]

[DOI]

Proceedings of the FPL 2007, 2007

Cotransformation Provides Area and Accuracy Improvement in an HDL Library for LNS Subtraction.

[BibT_eX]

[DOI]

Proceedings of the Tenth Euromicro Conference on Digital System Design: Architectures, 2007

A Serial Logarithmic Number System ALU.

[BibT_eX]

[DOI]

Proceedings of the Tenth Euromicro Conference on Digital System Design: Architectures, 2007

LNS Subtraction Using Novel Cotransformation and/or Interpolation.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Application-Specific Systems, 2007

2006

Integer Multipliers with Overflow Detection.

[BibT_eX]

[DOI]

Mustafa Gök

Michael J. Schulte

IEEE Trans. Computers, 2006

A parallel search algorithm for CLNS addition optimization.

[BibT_eX]

[DOI]

Proceedings of the International Symposium on Circuits and Systems (ISCAS 2006), 2006

A RISC Processor with Redundant LNS Instructions.

[BibT_eX]

[DOI]

Proceedings of the Ninth Euromicro Conference on Digital System Design: Architectures, Methods and Tools (DSD 2006), 30 August, 2006

A co-processor FPGA platform for the implementation of real-time model predictive control.

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2006

2005

Using CLNS for FFTs in OFDM demodulation of UWB receivers.

[BibT_eX]

[DOI]

Vassilis Paliouras

Proceedings of the International Symposium on Circuits and Systems (ISCAS 2005), 2005

Hardware-based support vector machine classification in logarithmic number systems.

[BibT_eX]

[DOI]

Faisal M. Khan

William M. Pottenger

Proceedings of the International Symposium on Circuits and Systems (ISCAS 2005), 2005

Approximating Trigonometric Functions with the Laws of Sines and Cosines using the Logarithmic Number System.

[BibT_eX]

[DOI]

Proceedings of the Eighth Euromicro Symposium on Digital Systems Design (DSD 2005), 30 August, 2005

The Residue Logarithmic Number System: Theory and Implementation.

[BibT_eX]

[DOI]

Proceedings of the 17th IEEE Symposium on Computer Arithmetic (ARITH-17 2005), 2005

2004

Threshold Mean Larger Ratio Motion Estimation in MPEG Encoding Using LNS.

[BibT_eX]

[DOI]

Jie Ruan

Proceedings of the Integrated Circuit and System Design, 2004

LPVIP: A Low-Power ROM-Less ALU for Low-Precision LNS.

[BibT_eX]

[DOI]

Proceedings of the Integrated Circuit and System Design, 2004

Geometric-mean interpolation for logarithmic number systems.

[BibT_eX]

Proceedings of the 2004 International Symposium on Circuits and Systems, 2004

Finite Precision Analysis of Support Vector Machine Classification in Logarithmic Number Systems.

[BibT_eX]

[DOI]

Faisal M. Khan

William M. Pottenger

Proceedings of the 2004 Euromicro Symposium on Digital Systems Design (DSD 2004), Architectures, Methods and Tools, 31 August, 2004

LNS architectures for embedded model predictive control processors.

[BibT_eX]

[DOI]

Proceedings of the 2004 International Conference on Compilers, 2004

2003

Fast Fourier Transforms Using the Complex Logarithmic Number System.

[BibT_eX]

[DOI]

J. VLSI Signal Process., 2003

Error Analysis of the Kmetz/Maenner Algorithm.

[BibT_eX]

[DOI]

J. VLSI Signal Process., 2003

Combined LNS Adder/Subtractors for DCT Hardware.

[BibT_eX]

Jie Ruan

Proceedings of the First Workshop on Embedded Systems for Real-Time Multimedia, 2003

A VLIW Architecture for Logarithmic Arithmetic.

[BibT_eX]

[DOI]

Proceedings of the 2003 Euromicro Symposium on Digital Systems Design (DSD 2003), 2003

Iterative Methods for Logarithmic Subtraction.

[BibT_eX]

[DOI]

Proceedings of the 14th IEEE International Conference on Application-Specific Systems, 2003

The Interval Logarithmic Number System.

[BibT_eX]

[DOI]

Jesus Garcia

Michael J. Schulte

Proceedings of the 16th IEEE Symposium on Computer Arithmetic (Arith-16 2003), 2003

2002

Reduced Power Consumption for MPEG Decoding with LNS.

[BibT_eX]

[DOI]

Proceedings of the 13th IEEE International Conference on Application-Specific Systems, 2002

Avoiding oddification to simplify MPEG-1 decoding with LNS.

[BibT_eX]

[DOI]

Proceedings of the IEEE 5th Workshop on Multimedia Signal Processing, 2002

2001

A Single-Multiplier Quadratic Interpolator for LNS Arithmetic.

[BibT_eX]

[DOI]

Mark D. Winkel

Proceedings of the 19th International Conference on Computer Design (ICCD 2001), 2001

Design of a Faithful LNS Interpolator.

[BibT_eX]

[DOI]

Proceedings of the Euromicro Symposium on Digital Systems Design 2001 (Euro-DSD 2001), 2001

Unrestricted Faithful Rounding is Good Enough for Some LNS Applications.

[BibT_eX]

[DOI]

Colin D. Walter

Proceedings of the 15th IEEE Symposium on Computer Arithmetic (Arith-15 2001), 2001

1997

On the cost effectiveness of logarithmic arithmetic for backpropagation training on SIMD processors.

[BibT_eX]

[DOI]

Proceedings of International Conference on Neural Networks (ICNN'97), 1997

Arithmetic Co-transformations in the Real and Complex Logarithmic Number Systems.

[BibT_eX]

[DOI]

Proceedings of the 13th Symposium on Computer Arithmetic (ARITH-13 '97), 1997

1992

Initializing RAM-based logarithmic processors.

[BibT_eX]

[DOI]

J. VLSI Signal Process., 1992

Applying Features of IEEE 754 to Sign/Logarithm Arithmetic.

[BibT_eX]

[DOI]

IEEE Trans. Computers, 1992

Comments on "An Architecture for Addition and Subtraction of Long Word Length Numbers in the Logarithmic Number System''.

[BibT_eX]

[DOI]

IEEE Trans. Computers, 1992

1990

Redundant Logarithmic Arithmetic.

[BibT_eX]

[DOI]

IEEE Trans. Computers, 1990

1989

Redundant logarithmic number systems.

[BibT_eX]

[DOI]

Proceedings of the 9th Symposium on Computer Arithmetic, 1989

1988

Improved accuracy for logarithmic addition in DSP applications.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 1988

1981

A structured APL preprocessor.

[BibT_eX]

[DOI]

Michael L. Cook