Background: Complex Numbers

Example B.1 (p.9, Lathi) screen shot    program  (Complex numbers)

Example B.3 & B4 (p.12, Lathi) screen shot    program  (Complex Numbers)

Example B.5 (p.14, Lathi) screen shot    program  (Complex function)

Example B.6b (p.17, Lathi) screen shot a  screen shot b  screen_shot_c  program  (Sum of sinusoids)

Example B.8-11 (pp. 24-33, Lathi) screen shot    program  (Partial Fraction Expansion)

More Math Background: Roots, Calculus and Differential Equations

Example: Solving equations, differentiation, integration

Example: Limits and infinite sums

Example: Taylor Series Expansion

Example: Solution of linear ordinary differential equations

Chapter 1: Signals & Systems Background

Example1.2 (p.55, Lathi): Signal Power

Power of the sum of two sinusoids of equal frequencies

Power of the sum of two sinusoids of different frequencies

Representation of piecewise signals:

Signal representation and transformations

Chapter 2: Time-Domain Analysis: Convolution, Differential Equations

Continuous-time Convolution: screen shot    program

Chapter 3: Fourier Series: Signal Representation

Fourier Series Animation:

Exponential, Compact and Trigonometric Fourier Series Expansion Program

Trigonometric (Basic) Fourier Series Expansion Program

Example 3.3 (p.191, Lathi) screen shot a  screen shot b   program  (Trig. FS)

Example 3.4 (p.195, Lathi) screen shot a  screen shot b   program  (Trig. FS)

Example 3.5 (p.197, Lathi) screen shot a  screen shot b   program  (Trig. FS)

Exercise 3.6a (p.200, Lathi) screen shot a  screen shot b  program  (Trig. FS)

Example 3.6 (p.208, Lathi) screen shot a  screen shot b   program  (Exp. FS)

Exercise 3.10a (p.213, Lathi) screen shot a  screen shot b   program  (Exp. FS)

Chapter 4: Fourier Transform: Continuous-Time Signal Analysis

Fourier transform pairs:

Amplitude modulation example:

Butterworth low-pass filter design:

Chapter 6: Laplace Transform: Continuous –Time System Analysis

RC filter response to a pulse input (computing h(t)):

RC filter response to a full-wave rectified sinusoid input:

Circuit analysis example1:

Circuit analysis example2:

Circuit analysis example3:

Feedback Control Example (p. 430, Lathi):