DSP Lecture 1 Signals











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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.).

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