DSP Lecture 1: Signals

ECSE-4530 Digital Signal Processing
Rich Radke, Rensselaer Polytechnic Institute
Lecture 1: (8/25/14)



0:00:00 Introduction
0:00:14 What is a signal? What is a system?
0:02:35 Continuous time vs. discrete time (analog vs. digital)
0:05:49 Signal transformations
0:05:55 Flipping/time reversal
0:06:46 Scaling
0:09:34 Shifting
0:11:24 Combining transformations; order of operations
0:15:41 Signal properties
0:15:47 Even and odd
0:16:43 Decomposing a signal into even and odd parts (with Matlab demo)
0:21:33 Periodicity
0:23:08 Special signals
0:23:09 The delta function
0:24:03 The unit step function
0:24:52 The relationship between the delta and step functions
0:33:20 Decomposing a signal into delta functions
0:36:14 The sampling property of delta functions
0:38:48 Complex number review (magnitude, phase, Euler's formula)
0:43:35 Real sinusoids (amplitude, frequency, phase)
0:47:25 Real exponential signals
0:48:34 Complex exponential signals
0:52:17 Complex exponential signals in discrete time
0:53:56 Discrete-time sinusoids are 2pi-periodic
0:59:52 When are complex sinusoids periodic?

Follows Section 2.1 of the textbook (Proakis and Manolakis, 4th ed.).