Best channel on signal and systems I have seen, create content with clear simple explanations.

@iain_explains

3 жыл бұрын

Thanks for your nice comment. I'm glad you've found the videos helpful.

Best explanation and demonstration of the delta function I have seen! Thank you and keep up the amazing work!

@iain_explains

3 жыл бұрын

Thanks for your nice comment. Glad you liked it.

All the content you are provide was just amazing but i have doubt is that you said that amplitude is infinity at t=0 but also you said that at t=0 height is 1 why?

@iain_explains

3 жыл бұрын

Ah, good point. Technically, the delta function has an infinite amplitude, and infinitesimally narrow width. The important thing is the area that results from multiplying the amplitude with the width. We draw delta functions with a vertical arrow, and often we draw the height of the arrow to indicate the area. Eg. a delta function with area =1 would be drawn half the height of a delta function with area =2. So sometimes people refer to the "height" of the delta function, when they actually mean the "area".

Thank you. The delta function showed up in my strength of materials course and I had no idea what was going on. This makes a lot of sense.

@iain_explains

Жыл бұрын

That's great. This video might also help: "How to Understand the Delta Impulse Function" kzread.info/dash/bejne/qqx7xatyh7nVc7w.html

The best!

appreciate such a great video！

@iain_explains

2 жыл бұрын

Glad you liked it!

Nicely explained. Thank you sir

@iain_explains

2 жыл бұрын

Glad you liked it

Thanks for offering us an expedited way to understand what a delta function is :)

@iain_explains

4 жыл бұрын

Glad you found it useful. You might like to check out the other videos on the channel too. I try to give physical explanations of a wide range of the basic fundamental mathematical aspects of Signals and Systems.

Good explanation, thank you

Thank you. A really intuitive approach!

@iain_explains

Жыл бұрын

Glad it was helpful!

thank you sir, it helps a lot...

It's Nice, Thank you sir

That was very good! Thank you for the explanation sir!

@iain_explains

2 жыл бұрын

You're welcome. I'm glad you liked it.

Shouldn't the integral go from 0 to plus infinity?

@iain_explains

3 жыл бұрын

I'm not sure why you think this. I'm just showing some examples, so I could choose to integrate over any range I like. Maybe you are thinking that "time" can only be positive? If so, then it's important to understand that the "zero" time in any graph is simply a reference time, so negative time simply means the time before the reference time. And also it's important to understand that I could have used any symbol for the "x-axis" - it didn't need to be "t", and it didn't need to represent "time". It is just the variable for the function. The properties of delta functions hold for any "x-axis" variable that takes continuous values (eg. distance, height, length, temperature, acceleration, ... whatever)

Got it. Thanks.

thank you

@iain_explains

Ай бұрын

You're welcome

Hi. I like the simplicity of your explanation. New subscriber. I would like to know if a delta function it's stable

@iain_explains

4 жыл бұрын

Just to clarify: A function is neither stable nor unstable. Systems and filters are stable/unstable. A system or filter with an impulse response that is a delta function, has finite energy (since the delta function has finite energy), and is therefore stable.

What I do not get is when the variable t is not 5, the function is equal to 0. In the last example, how do they add up to Ax(5)? When t is larger than 5, the function takes on the value of zero. So if we multiply it with x(t=5), isn't it equal to 0?

@iain_explains

Жыл бұрын

For all values of t that do not equal 5, the function x(t)delta(t-5) = 0. So when you integrate from t = -inf to t = inf, the only non-zero component of the function x(t)delta(t-5) occurs at t=5, and is given by the value x(5). This video might also help: "How to Understand the Delta Impulse Function" kzread.info/dash/bejne/qqx7xatyh7nVc7w.html

Amazing

Really awesome video

@iain_explains

2 жыл бұрын

Thanks. Glad you liked it.

Thanks, I had got this graphically, but now mathematically as well.

@iain_explains

Жыл бұрын

Glad it was helpful.

Got it sir, thanks!

@iain_explains

11 ай бұрын

Great!

Good job

@iain_explains

2 жыл бұрын

Thanks

That's pretty awesome!

@iain_explains

2 жыл бұрын

Glad you think so!

neatt thank you

@iain_explains

4 жыл бұрын

Glad you found it useful.

Hi I think you make a mistake in the video. At first you say the delta function has an infinite height, and then later on you say it has a height of 1...

@iain_explains

2 жыл бұрын

Well, yes, but sort of not really. It's common to say that a delta function has a "height", even though technically it's really the area, because it's not possible to draw something with infinite height. So in practice we draw the delta function using a vertical arrow with a finite height that equals the area of the true delta function. So technically I should have said that "the arrow-representation of the delta function has a height of 1", but that's a bit of a mouthful. It's what we call a "slight abuse of notation". It's done because it makes sense intuitively. For example, if a delta function is multiplied by 2, then it helps to show that graphically, by drawing an arrow with a "height" of 2 (even though it's really the infinitesimally narrow area that is multiplied by 2).

69th like. 🙂Niceee