Signal Construction Example #1

Join the YouTube channel for membership perks:

We often deal with "simple" signals in a signals-and-systems course that can be easily described as a linear combination of time-shifted unit step and unit ramp functions.

In this video example we're provided a sketch of a "simple" signal x(t) and we develop an equation for x(t) in terms of time-shifted unit step and unit ramp functions.

[mayankkr.]

You cleared a huge doubt out of my mind just before the exam. Extremely Helpful

[kendallvining]

Current EE382 student at UAH and this is pure gold. Thanks.

[AertPietersz]

Thank you so much for posting this. You made it incredibly simple.

[akshatbhatt]

why are we doing -2r(t-2) when its slope is -1

[mohamedashraf]

Thanks Dude this video will last for genertions

[natural_beauty]

at t=3, we can write u(t-3),
plz help me out to write it in terms of a ramp function.

[adnan]

i dont get the part 'r(t-3)'....i think it should be 'u(t-3)'...please explain...

[vamsikrishna]

Thank you so much first I didn't get how to draw by watching this I understand after seeing your reply for the thanks for responding others comments

[joeyyaker]

Might be a stupid question, but what is the unit of the signal x(t)? I am having trouble understanding the unit of a digital signal and other types of signals. I do know that sometimes the square of x(t) is power

[saranairica]

May i know what software you are using here, thank you

[Koyaanisqatsi]

What is the equation for the output signal, x(t), when the input is a unit ramp?

[hamadhalbahrani]

Thank you so much, Sir.❤❤❤
Clear and easy explanation.

[farazmathsfh]

How to construct this signal sir i have confusion in it.

[calvinjackson]

This is my first time seeing the ramp function. How is it defined? Where is a video where you introduce it?

[fethitelecomdz]

the correct answer is X(t)= u(t) + r(t-1) - 2r(t-2) + u(t-3) + 2u(t-4) - 2u(t-5)

[kailadavis]

Can you explain how to sketch the derivative of a signal. Just to sketch, not using the equations.

[preetham]

The notes is excellent. What software did you use ?

[AzilAmor]

Do you have a video on how to plot this equation in matlab? Thanks in advance.

[canarabaci]

sir why we dont use u(t-3) instead of r(t-3) ?

[juanhe]

no entiendo ingles...pero con lo visual pude entender...muchas gracias