Properties of Impulse Signal (Part 1)

Signal and System: Properties of Impulse Signal (Part 1)
Topics Discussed:
1. Revision of unit impulse signal.
2. Area of unit impulse signal.
3. Weight or strength of an impulse.
4. Impulse signal as an even signal.
5. Impulse signal as neither energy nor power signal.
6. Time-shifting of an impulse signal.
7. Time-scaling of an impulse signal.

Music:
Axol x Alex Skrindo - You [NCS Release]

#SignalAndSystemByNeso #Signal&System #UnitImpulseSignal

[pavelarefyev]

For those confused between property 1 and 3:

These are essentially the same results. In the first property, we take definitive integral from -inf to +inf.
In the second property, we take indefinite integral.

Let's pretend we also take definitive integral in the second case, therefore: [u(t)] from -inf to +inf.
u(+inf) - u(-inf) = 1 - 0 = 1

So the difference is that in the first property we take definite integral, in second - indefinite.

[vasuverma]

You didn't tell how you got the result in property 7 - the time scaling property. Please explain how you got that.

[asifalamjoy]

Sir, this video is very helpful for me. The way you have mentioned the impulse function, why the magnitude of impulse in discrete time is 1 at n=0, whereas in continuous time it is infinite. Waiting for your valuable reply sir

[rationalthinker]

I don't buy property 3. Yes the integral of the delta function is equal to 1, I concede that. However when you look at u(t), that is not always equal to 1, it's only equal to 1 for t > 0.

[srdpham]

Hi, Please explain why property #1 and property #3 not having the same result. Thanks!

[AvinyaSolutions]

Doubt plz respond Sir as you said area=base×height(magnitude)
At finnally that impulse becomes on x axis is zero so base is= 0 and respectively height ( magnitude) = infinete
Then area =o×infinite=1( in case of impulse function ) how it is possible sir

[SunnySingh-smvs]

Sir can you upload the videos on opamps, oscilators and different timers circuit. Please sir read this comment and reply what you think on this. I really want this.

[saimahendrapatnaik]

Hello sir as per the definition we have Delta (t) =1for t=0 and it's value is 0 for other values of t, then in example you have taken a unit signal which has a value for t#0...please explain...

[srdpham]

Both Prop#1 and #3 are integration of impulse signal. #1 --> 1 while #3 --> u(t)

[rayashow]

What is the derivative of impulse functions ??

[karthiksubramaniyan]

Doubt: At 4:40, Shouldn't the value of x(t) for t not equal to 0 be some value less the infinite? As per the waveform, we could see some value of x(t) for other values of t also.

[sairamesh]

Sir impulse signals are nenp but unit impulse signals are what?

[tarunsai]

Sir how the amplitude scaling happened by doing time scaling in the last property

[ramanapolireddy]

When signal height reaches to Infinity the width of that signal is 0 then area =∞ *0=0 then how area of impulse signal 1?

[sai-duqg]

I dont understand the use of time scaling of impulse signal? and How can you create an impulse signal of certain area as you said strength because it changes the very meaning of impluse function?

[maheryagub]

wouldn't be more practical if d[t] was defined to have 1 at 0 since is sampling?!

[moussatouhami]

how the prop#5 can be true while the area are equal to 1

[malisettyganesh]

Sir please upload all the videos quickly

[raghavrajawat]

there is no effect of time reversal on impulse signal
, why?

[mehdikadri]

who studies in INELEC and came to watch this video like my comment