Date of Award

Fall 1993

Document Type

Thesis

Degree Name

Master of Science in Electrical Engineering - (M.S.)

Department

Electrical and Computer Engineering

First Advisor

Edwin Hou

Second Advisor

Sotirios Ziavras

Third Advisor

MengChu Zhou

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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