Filter Design for Signal Processing Using MATLAB and Mathematica

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Miroslav Lutovac, 2001 - Computers - 756 pages
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A complete up-to-date reference for advanced analog and digital IIR filter design rooted in elliptic functions. "Revolutionary" in approach, this book opens up completely new vistas in basic analog and digital IIR filter design--regardless of the technology. By introducing exceptionally elegant and creative mathematical stratagems (e.g., accurate replacement of Jacobi elliptic functions by functions comprising polynomials, square roots, and logarithms), optimization routines carried out with symbolic analysis by "Mathematica," and the advance filter design software of MATLAB, it shows readers how to design many types of filters that cannot be designed using conventional techniques. The filter design algorithms can be directly programed in any language or environment such as Visual BASIC, Visual C, Maple, DERIVE, or MathCAD. Signals; Systems; Transforms; Classical Analog Filter Design; Advanced Analog Filter Design Case Studies; Advanced Analog Filter Design Algorithms; Multi-criteria Optimization of Analog Filter Designs; Classical Digital Filter Design; Advanced Digital Filter Design Case Studies; Advanced Digital Filter Design Algorithms; Multi-criteria Optimization of Digital Filter Designs; Elliptic Functions; Elliptic Rational Function.
 

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Contents

SYSTEMS
40
TRANSFORMS
64
6
117
CLASSIC ANALOG FILTER DESIGN
139
7
289
MULTICRITERIA OPTIMIZATION OF ANALOG FILTER DESIGNS
301
CLASSIC DIGITAL FILTER DESIGN
322
MULTICRITERIA OPTIMIZATION OF DIGITAL FILTER DESIGNS
494
Analysis by Transform Method of DiscreteTime LTI Systems
638
Switched Capacitor Filter Mode 3a Analysis and Design
644
OTAC General Biquad Analysis and Design
651
LowpassMediumQFactor Active RC Filter Analysis and Design
656
General Purpose HighQFactor RC Filter Analysis and Design
662
Advanced Analog Filter Design Case Studies
670
Classical Digital Filters Transpose Direct Form II IIR 2ndOrder Realization
685
Advanced Digital Filter Design Case Studies
698

ELLIPTIC FUNCTIONS
503
Transfer Function with Minimal QFactors 625
566
Problems
630
Mathematica Exercises
631
A EXAMPLE MATHEMATICA NOTEBOOKS
633
Analysis by Transform Method of Analog LTI Circuits
634
Jacobi Elliptic Functions
713
Elliptic Rational Function
716
Transfer Function with Minimal QFactors
728
References
742
Index
749

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About the author (2001)

Tosic attended the University of Belgrade, Serbia, Yugoslavia.

Brian L. Evans was Professor of Chinese History at the University of Alberta in Edmonton.

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