## Continuous-Time Signals and Systems

#### Basic Definitions

1/17/2015

Running Time: 5:23

This series of videos reviews basic definitions and operations associated with complex numbers and complex functions.This first video defines the rectangular format and polar format of a complex number, and also visualizes complex numbers in the complex plane.

#### Complex Number Operations

1/17/2015

Running Time: 10:44

This second video defines a variety of operations that can be performed on complex numbers such as: addition, multiplication, magnitude, and phase computations. It also derives expression for both the magnitude and phase of a ratio of complex numbers.

#### Complex Number Operations Example

1/17/2015

Running Time: 8:34

The previous video in this series provide general definitions of several complex number operations. This video performs specific example computations of complex number addition, conjugation, multiplication, magnitude, and phase.

#### Complex Numbers and Operations in Matlab

1/17/2015

Running Time: 5:53

The previous video in this series worked a variety of example computations with complex numbers. This video performs the same computations yet they are all performed in Matlab.

#### Complex and Complex-Valued Functions

1/17/2015

Running Time: 11:41

In this final video we formally define complex and complex-valued functions. We examine the Fourier Transform X(f) of the continuous-time signal x(t). X(f) is a complex-valued function and its magnitude and phase are computed and plotted.