Circuits, Systems and Signal Processing

Section I: Signals and Systems.- 1. Basic Concepts in Signals and Systems.- 2. Some Fundamental Issues Relating to the Impulse Function.- 3. An Introduction to the State Variable Characterization of Linear Systems- Part I.- 4. An Introduction to the State Variable Characterization of Linear Systems- Part II.- 5. Carry out Partial Fraction Expansion of Rational Functions with Multiple Poles - without Tears.- 6. A Very Simple Method of Finding the Residues ATN Multiple Poles of a Rational Function in Z-1.- Section II: Passive Circuits.- 7. Circuit Analysis without Transforms.- 8. Transient Response of the RLC Networks Revisited.- 9. Appearances can be Deceptive- A Circuit Paradox.- 10. Appearances can be Deceptive: An Initial Value problem.- 11. Resonance.- 12. The Many Faces of the Single Tuned Circuit.- 13. Analyzing the Parallel-T RC Network-Yet Another Method.- 14. On the Design of Parallel-T Resistance Capacitance Networks for Maximum Selectivity.- 15. Perfect Transformer, Current Discontinuity and Degeneracy.- 16. Analytical Solution to the Problem of Charging a Capacitor through a Lamp.- 17. Difference Equations, Z-Transforms and Resistive Ladders.- 18. A Third Order Driving Point Synthesis Problem.- 19. Interference Rejection in a UWB System : An Example of LC Driving Point Synthesis.- 20. Low Order Butterworth Filters: from Magnitude to Transfer Function.- 21. Bandpass/Bandstop Filter Design by Frequency Transformation.- 22. Optimum Passive Differentiators.- Section III: Active Circuits.- 23. Amplifier Fundamentals.- 24. Appearances can be Deceptive-the Case of a BJT Biasing Circuit.- 25. BJT Biasing Revisited.- 26. Analysis of a High Frequency Transistor Stage.- 27. Transistor Wien Bridge Oscillator.- 28. Analyzing Sinusoidal Oscillators- A Different Approach.- 29. Triangular to Sinewave Converter.- 30. Dynamic Output Resistance of the Wilson Current Mirror.- Section IV: Digital Signal Processing. -31. The ABCDs of Digital Signal Processing-Part I.- 32. The ABCDs of Digital Signal Processing-Part II.- 33. On Second Order Digital Bandpass and Bandstop Filters.- 34. Derivation of Second Order Canonic All-Pass Digital Filter Realizations.- 35. Derivation of the FIR Lattice Structure.- 36. Solution to A Problem in FIR Lattice Synthesis.- 37. FIR Lattice Synthesis with Single Multiplier Sections.- 38. A Note on the FFT.- Section V: Mathematical Appendices.- 39. Measuring Impedance Magnitude and Phase with a Voltmeter.- 40. A Semi-Analytic Method for Finding the Roots of a Polynomial.- 41. A Fresh look at the Euler's Relation.- 42. Approximating the Square Root of the Sum of two Squares.- 43. On the Solution of the Quadratic and Cubic Equations.- 44. Many ways of Solving the Ordinary Linear Second Order Differential Equation with Constant Coefficients.- 45. Proof of two Chebyshev Polynomial Identities.- 46. Computation of the Coefficients of Chebyshev Polynomials.