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.).

[@farhanrejwan]

It's almost unbelievable how good these explanations are! Thank you so much!

[@stucatz1130]

Thanks for posting this series! Helpful as I approach video processing and compression.

[@ak2k2]

best DSP series on YT

[@vvanamali6286]

I posted some critical comments on Lec 01 and it got deleted (presumably by the owner of the channel) after a few minutes 🤣. If you want your comments to be not deleted, sing paeans 🤣🤣. Even this comment will most likely get deleted!!

[@harrypham54]

The explanation is fantastic, I was familiar with DSP before, but this one brought my knowledge to a new level. The explanation clearly includes the formulations and their visualization, making it crucial for us to learn the foundation. Thank you, sir!

[@rohitmalik123321]

Very well taught, thanks Prof. Radke.

[@eldarsadykov]

This is insanely well explained. I now remember why I loved maths at the university.

[@EjMacarus]

Thank you! Great material to watch over the summer

[@coronaphone710]

I immediately hear the aliasing on the background

[@ycombinator765]

This is epitome of effective teaching!

[@edwarduchenna7859]

¡Excelente trabajo!

[@bradystewart4035]

this series explains the theory so much better than my profs thank you!

[@douhabenzimoun3674]

you going to save my life omg

[@muhammadfaisalshahkar4422]

Best DSP course on RUclips forever 🎉
Can you share the book of dsp and notes that are used in vedios.

[@OrgStinx]

Great lecture!

[@EigenA]

Perfect!

[@purplemoon1741]

Thank you sir !

[@mufiterdogan105]

Ağzına sağlık Rich ağabey

[@khanhtruong3254]

Hi, thanks for very helpful series.
At 51:00, I'm not clear how the |C| * e^(rt) creates an "envelop". When r

[@InstantInsight777]

Think of a graph of exponential when r < 0. It decreases, so does cosine amplitude in this envelope. So it is not like e^rt will have both upper and lower parts of the envelope, but rather exponential nature will create them.

[@aibasei3254]

Hello. Thanks for your videos. But can I ask why do we need to know that signal is odd or even and etc. Does it have sm meaning for processing or future manipulation of signal?

[@user-uq7ri1pz2c]

That’s because FS and FT have even and odd part too

[@BluetekFREEGAMES]

danke

[@user-fy8hu1uy2v]

At min 20 I think it is Acos(phi) not A sin(phi)