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Volume 9, Issue 3

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Elliptic Rational Functions
Miroslav D. Lutovac
Dejan V. Tosic

This article introduces a new algorithm for computing the elliptic rational function . The key feature of the algorithm is a symbolic computation of some of the using only elementary functions. Our algorithm is more efficient than traditional methods based on the Jacobi elliptic functions and the complete elliptic integral, which can be numerically intensive. is used extensively in signal processing and system design as the best minimax approximation of a unit square pulse.

*Notebook


*PDF


*HTML

*Introduction

*Application

*Definition

*Properties

*Nesting Property

*Algorithm

*Timing

*Acknowledgment

*References

About the Authors
Miroslav D. Lutovac is a chief scientist at the Institute for Telecommunications and Electronics and a professor at the University of Belgrade, Serbia. His research interests include the theory and implementation of analog and digital signal processing, and the symbolic analysis and synthesis of multiplierless and multirate digital systems.

Dejan V. Tosic is a professor in the School of Electrical Engineering at the University of Belgrade, Serbia. He has focused his research on creating a framework for the symbolic analysis of circuits and systems that is suitable for research as well as industrial and educational applications. He is developing automation tools for optimizing the design and synthesis of analog and digital systems.

Lutovac and Tosic are coauthors (with Brian Evans) of the book Filter Design for Signal Processing Using MATLAB and Mathematica [4]. They have developed SchematicSolver, a Mathematica application for mouse-driven interactive drawing of systems and for solving and implementing said systems.

Miroslav D. Lutovac
Dejan V. Tosic
School of Electrical Engineering
University of Belgrade
Bul. Kralja Aleksandra 73
11000 Belgrade, Serbia, Europe
lutovac@kondor.etf.bg.ac.yu
kondor.etf.bg.ac.yu/~lutovac
tosic@kondor.etf.bg.ac.yu
kondor.etf.bg.ac.yu/~tosic



     
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