Reduction and Approximation of Linear Computational Circuits

Author(s):  
P. Dewilde ◽  
A.-J. Veen
Author(s):  
Dmitry M. Kolpashchikov ◽  
Aresenij J. Kalnin

Author(s):  
Alex Yakovlev

In his seminal Electrical papers , Oliver Heaviside stated ‘We reverse this …' referring to the relationship between energy current and state changes in electrical networks. We explore implications of Heaviside's view upon the state changes in electronic circuits, effectively constituting computational processes. Our vision about energy-modulated computing that can be applicable for electronic systems with energy harvesting is introduced. Examples of analysis of computational circuits as loads on power sources are presented. We also draw inspiration from Heaviside's way of using and advancing mathematical methods from the needs of natural physical phenomena. A vivid example of Heavisidian approach to the use of mathematics is in employing series where they emerge out of the spatio-temporal view upon energy flows. Using series expressions, and types of natural discretization in space and time, we explain the processes of discharging a capacitive transmission line, first, through a constant resistor and, second, through a voltage controlled digital circuit. We show that event-based models, such as Petri nets with an explicit notion of causality inherent in them, can be instrumental in creating bridges between electromagnetics and computing. This article is part of the theme issue ‘Celebrating 125 years of Oliver Heaviside's ‘Electromagnetic Theory’’.


Author(s):  
Naheem Olakunle Adesina ◽  
Md Azmot Ullah Khan ◽  
Jian Xu

2020 ◽  
Vol 29 (11) ◽  
pp. 2030008
Author(s):  
Raj Kumar ◽  
Ritesh Kumar Jaiswal ◽  
Ram Awadh Mishra

Modulo multiplier has been attracting considerable attention as one of the essential components of residue number system (RNS)-based computational circuits. This paper contributes a comprehensive review in the design of modulo [Formula: see text] multipliers for the first time. The modulo multipliers can be implemented using ROM (look-up-table) as well as VLSI components (memoryless); however, the former is preferable for lower word-length and later for larger word-length. The modular and parallelism properties of RNS are used to improve the performance of memoryless multipliers. Moreover, a Booth-encoding algorithm is used to speed-up the multipliers. Also, an advanced modulo [Formula: see text] multiplier based on redundant RNS (RRNS) could be further chosen for very high dynamic range. These perspectives of modulo [Formula: see text] multipliers have been extensively studied for recent state-of-the-art and analyzed using Synopsis design compiler tool.


1989 ◽  
Vol 67 (3) ◽  
pp. 311-320 ◽  
Author(s):  
JACEK M. ZURADA ◽  
MIN J. KANG

Author(s):  
Sourabh Kulkarni ◽  
Sachin Bhat ◽  
Santosh Khasanvis ◽  
Csaba Andras Moritz

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