Advanced Filter Design for Signal Processing using MATLAB and Mathematica

Miroslav D. Lutovac, Dejan V. Tosic, and Brian L. Evans

Elliptic Functions

1. Legendre Elliptic Integral
2. Jacobi Elliptic Functions
3. Periods of Elliptic Functions
4. Series Representation and Modular Constant
5. Chebyshev Polynomials
6. Elliptic Rational Function
7. Nesting Property of Jacobi Elliptic Functions
• Nesting Property of Rational Elliptic Functions
8. Poles of Normalized Transfer Function
9. Exact Formulas for Transfer Function Poles
• Exact Formulas for Zeros of Elliptic Rational Functions
• Approximate Determination of Zeros
10. The Degree Equation
• Discrimination Factor
11. Elliptic Filters with Minimal Q-factors
12. Example Mathematica Notebooks

Last updated 1999/02/24 00:36.