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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.).