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The New Jersey Institute of Technology's
Electronic Theses & Dissertations Project

Title: An on-line approach for evaluating trigonometric functions
Author: Amin, Rajesh
View Online: njit-etd1994-059
(xi, 59 pages ~ 2.3 MB pdf)
Department: Department of Electrical and Computer Engineering
Degree: Master of Science
Program: Electrical Engineering
Document Type: Thesis
Advisory Committee: Hou, Edwin (Committee chair)
Ziavras, Sotirios (Committee member)
Zhou, MengChu (Committee member)
Date: 1994-01
Keywords: Trigonometrical functions.
Algorithms.
Computer arithmetic.
Availability: Unrestricted
Abstract:

This thesis investigates the evaluation of trigonometric functions based on an on-line arithmetic approach. On-line algorithms have been developed to evaluate the sine and cosine functions. Error analysis and heuristics are carried out to arrive at a minimal error algorithm based on the series expansion of the sine and cosine function.

A logical design based on the algorithm is presented where the unit is designed as a set of basic modules. A detailed bit slice design of each module is also presented. A simulator was designed as an experimental tool for synthesis of the on-line algorithms, and a tool for performance evaluation.


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