DocumentCode
926168
Title
Efficient approximations for the arctangent function
Author
Rajan, Sreeraman ; Wang, Sichun ; Inkol, Robert ; Joyal, Alain
Author_Institution
Defence Res. & Dev. Canada, Ottawa, Ont., Canada
Volume
23
Issue
3
fYear
2006
fDate
5/1/2006 12:00:00 AM
Firstpage
108
Lastpage
111
Abstract
This paper provides several efficient approximations for the arctangent function using Lagrange interpolation and minimax optimization techniques. These approximations are particularly useful when processing power, memory, and power consumption are important issues. In addition to comparing the errors and the computational workload of these approximations, we also extend them to all four quadrants.
Keywords
approximation theory; interpolation; minimax techniques; signal processing; Lagrange interpolation; arctangent function approximations; minimax optimization techniques; power consumption; Digital signal processing; Function approximation; Hardware; Interpolation; Iterative algorithms; Lagrangian functions; Linear approximation; Minimax techniques; Polynomials; Signal processing algorithms;
fLanguage
English
Journal_Title
Signal Processing Magazine, IEEE
Publisher
ieee
ISSN
1053-5888
Type
jour
DOI
10.1109/MSP.2006.1628884
Filename
1628884
Link To Document