DSP Lecture 2: Linear, time-invariant systems

ECSE-4530 Digital Signal Processing
Rich Radke, Rensselaer Polytechnic Institute
Lecture 2: (8/28/14)

0:00:01 What are systems?
0:02:06 Representing a system
0:03:06 Preview: a simple filter (with Matlab demo)
0:06:18 Relationships to differential and difference equations
0:07:53 Connecting systems together (serial, parallel, feedback)
0:10:32 System properties
0:10:36 Causality
0:14:44 Linearity
0:18:21 Formally proving that a system is linear
0:24:35 Disproving linearity with a counterexample
0:29:25 Time invariance
0:31:57 Formally proving that a system is time-invariant
0:36:44 Disproving time invariance with a counterexample
0:41:07 Linear, time-invariant (LTI) systems
0:43:06 Superposition for LTI systems
0:45:34 The response of a system to a sum of scaled, shifted delta functions
0:49:36 The impulse response
0:50:52 The impulse response completely characterizes an LTI system

Follows Sections 2.2-2.3 of the textbook (Proakis and Manolakis, 4th ed.).