1 ee 616 computer aided analysis of electronic networks lecture 14 instructor: dr. j. a. starzyk,...

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1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH, 45701

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Page 1: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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EE 616 Computer Aided Analysis of Electronic Networks

Lecture 14

Instructor: Dr. J. A. Starzyk, ProfessorSchool of EECSOhio UniversityAthens, OH, 45701

Page 2: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Outline

• Numerical Laplace Transform inversion•Padé approximation

• Properties of the inversion method

• Applications

• Stepping algorithm

•Stability

Page 3: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

3

Numerical Laplace Transform inversion

Page 4: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

4

Pade Approximation

Page 5: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Pade Approximation

Page 6: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Pade Approximation

Page 7: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Pade Approximation

Page 8: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Pade Approximation

Page 9: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Numerical Laplace Transform inversion

Page 10: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

10

Numerical Laplace Transform inversion

Page 11: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

11

Numerical Laplace Transform inversion

Page 12: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

12

Properties of the inversion method

Page 13: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

13

Applications

Page 14: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Applications

Page 15: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Applications

Page 16: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Applications

Page 17: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Applications

Page 18: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Applications

Page 19: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Applications

Page 20: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Stepping algorithm

Page 21: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Stepping algorithm

Page 22: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Stepping algorithm

Page 23: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Stepping algorithm

Page 24: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Stepping algorithm

Page 25: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

25

Stability

Page 26: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Stability

Page 27: 1 EE 616 Computer Aided Analysis of Electronic Networks Lecture 14 Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH,

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Stability

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