DocumentCode
1068074
Title
Division using a logarithmic-exponential transform to form a short reciprocal
Author
Mandelbaum, David M.
Author_Institution
168 Hollingston Pl., East Windsor, NJ, USA
Volume
44
Issue
11
fYear
1995
fDate
11/1/1995 12:00:00 AM
Firstpage
1326
Lastpage
1330
Abstract
Two trees are used sequentially to calculate an approximation to 1/A, where 1⩽A<2. These trees calculate the logarithm and exponential, and the division (reciprocation) process can be described by 1/A=e-lnA/. For bit skip accuracy of six to 10, this logarithmic-exponential method uses significantly less hardware with respect to the scheme in Mandelbaum (1993), and the delays may be greater or less, depending on the method used and the minimum bit skip
Keywords
computational complexity; digital arithmetic; bit skip accuracy; division; exponential; logarithm; logarithmic-exponential transform; short reciprocal; trees; Active contours; Analytical models; Circuits; Delay effects; Discrete transforms; Equations; Hardware; Image analysis; Iterative algorithms;
fLanguage
English
Journal_Title
Computers, IEEE Transactions on
Publisher
ieee
ISSN
0018-9340
Type
jour
DOI
10.1109/12.475129
Filename
475129
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