Spectral, Convolution and Numerical Techniques in Circuit Theory

1. Introduction
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2. Steady State Solutions to Circuit Problems
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3. Differential Equation Solution to Circuit Problems
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4. Series Expansion Solution for Circuit Problems
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5. Numerical Differential Equation Solution to Circuit Problems
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6. Fourier Series and Periodic Functions
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7. Complex Fourier Series
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8. Fourier Transform
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9. Properties of the Fourier Transforms
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10. Further Examples/Topics on Fourier Transform
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11. Fourier Transform of Periodic Signals
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12. Approximate and Numerical Techniques in Fourier Transform
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13. Bandwidth
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14. Laplace Transform
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15. Using Complex Integration to Figure Inverse Laplace Transform
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16. Properties of Laplace Transform
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17. Laplace Transform of Periodic Functions
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18. Finding Inverse Laplace Transform via Partial Fractions
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19. Convolution
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20. Signal Construction in Terms of Convolution Integrals
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21. The Delta Function
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22. Impulse Response
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23. Time Convolution with Impulse Response
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24. Time Convolution with the Unit Step Response
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25. Sampling and the Sampling Theorem
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26. Transfer Functions
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27. The Phase
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28. Stability and Relation to Poles Placements
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29. Impulse Response as Figured from Inverse Transform
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30. Unit Step Response as Figured from Inverse Transform
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31. Pulse Response
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32. Causal Cosine and Sine Response
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33. Causal Periodic Pulse Response
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34. Slanted Unit Step Response
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35. Voltage/Voltage Filters
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36.
RLC Circuits with Feedback
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37. Matrix Solution to Multi-Branch Networks
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38. Multisource Networks and Superposition
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39. Systems with Initial Conditions
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40. Application to Transistor Modeling and Circuits
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41. Op-Amp Filters
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42. Multi-Port Network: Z- and Y-Parameters
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43. Scattering (S−) Parameters
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44. Application of Spectral Techniques to Solving 2D Electrostatic Problems
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45. Application of Spectral Techniques in Solving Diffusion Problems
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46. Application of Spectral Techniques in Solving the Wave Equation
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Nyckelord: Engineering, Circuits and Systems, Electronic Circuits and Devices, Electronics and Microelectronics, Instrumentation