Paper Info
Title
Low Complexity Generic VLSI Architecture Design Methodology for $N^{th}$ Root and $N^{th}$ Power Computations
Abstract
In this paper, we propose a low complexity architecture design methodology for fixed point root and power computations. The state of the art approaches perform the root and power computations based on the natural logarithm-exponential relation using Hyperbolic COordinate Rotation DIgital Computer (CORDIC). In this paper, any root and power computations have been performed using binary logarithm-binary inverse logarithm relation. The designs are modeled using VHDL for fixed point numbers and synthesized under the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$TSMC 40$ </tex-math></inline-formula> -nm CMOS technology @ 1 GHz frequency. The synthesis results shows that the proposed <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${ { N}}^{\text {th}}$ </tex-math></inline-formula> root computation saves 19.38% on chip area and 15.86% power consumption when compared with the state of the art architecture for root computation without compromising the computational accuracy. Similarly, the proposed <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${ { N}}^{\text {th}}$ </tex-math></inline-formula> power computation saves 38% on chip area, 35.67% power consumption when compared with the state of the art power computation with out loss in accuracy. The proposed root and power computation designs save 8 clock cycle latency when compared with the state of the art implementations.
Year
DOI
Venue
2019
10.1109/TCSI.2019.2939720
IEEE Transactions on Circuits and Systems I: Regular Papers
Keywords
DocType
Volume
Complexity theory,Computer architecture,Very large scale integration,Hardware,Indexes,Art
Journal
66
Issue
ISSN
Citations 
12
1549-8328
3
PageRank 
References 
Authors
0.40
0
2
Name
Order
Citations
PageRank
Suresh Mopuri1122.61
Amit Acharyya213931.20