Linear and Non-Linear Systems

Signal and System: Linear and Non-Linear Systems
Topics Discussed:
1. Definition of linear systems.
2. Definition of nonlinear systems.
3. Principle of superposition.
4. Law of additivity.
5. Law of homogeneity.
6. How to check if the system is linear or nonlinear.
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Music:
Axol x Alex Skrindo - You [NCS Release]
#SignalAndSystemByNeso #Signal&System #LinearSystem #NonLinearSystem

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Literal lifesaver. The textbook is so confusing but these lectures are very clear and concise

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Excelent live saving lectures, Thanks alot

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Sir I felt like I am doing practical on the concept thank you very much it's the most excellent lecture I heard 🙏, my confusion in this topic cleared .

[@吳建興-r5r]

what a great course! thank you.

[@aljhonmichael6666]

Hey thanks man for the infos... Aside from the principle of superposition, is there another way to check if a system is linear or not?

[@adityajoshi1606]

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[@Flash020201]

Please show an example of when not linear!

[@DentragOffence]

God bless you, my professor explains so badly, he wouldn't even be able to explain how to do 2+2.

[@Hiyori___]

superb lecture

[@sri279]

Your explained very clearly sir tq

[@amanbisht862]

What a practical session 🙏🏻

[@ilayda3467]

I really appreciate that video but still a question is left. Can we determine an input signal from given output signal? Or is it not possible

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Picture perfect explanation...thank you for helping...

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[@shivanijain5541]

Thanks for ur videos sir. These are very helpful. Bt sir there is one problem.aapka bola hua jb ye show hota h toh jo aap written krte h vo show ni ho pa rha thats why i m facing problem

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Nice video

[@chukaodinchefu9978]

Please, I have a question on the example y(t) = x(sint). I want to know how it is that y1(t) is equal to y2(t). I know the x(t) and output is y(t), how do we know that values of y1(t) and y2(t) ? Thank you

[@KommentarSpaltenKrieger]

So you want to find out if it matters when a certain combination within a process takes place?

[@greenpanther79]

Nice explanation...

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[@gameon8999]

Good one but messed by using sinx

[@mostafahussien9325]

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سلام خوش آمدید

[@Engr.Md.Nazrulsilam]

which white board do you use? plz tell me

[@АфанасийКихайогло]

Did you mean sin(x(t))? In this case that would be non-linear system.

[@1b2m]

Correct, and it's quite simple to check, (sin(1) + sin(2)) - sin(1+2) is not 0 as it would be in a linear system.

[@akashjaiswal2693]

Ty for explaining

[@hamzahm.marhoon9256]

Thank you

[@arunlalap9183]

Whether the system y(t)= x(t) x(t-1) is linear or non linear. Please answer

[@080rohitdatta2]

Thanks .It was very helpful . keep doing more videos like this :) :)

[@y031962]

I have question on addition of 2 functions here. x1(t)+x2(t) -> system, are you saying the x2(t) follows x1(t) to the system, if this is true then, x1(t)+x2(t)->system->x1(sint)+x2(sint), otherwise if you are adding these 2 functions bit by bit, I don't see how you can tell the equation holds true. I appreciate clarification on this. Thanks in advance.

[@Critterpig]

i had the same question

[@bhashkarkiaawaz2438]

Sir,how to solve linearity question of split function ??

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Go ahead 👌

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Can u plz solve this

[@ajoymalakar]

xe(t)= 0.5[x(t)+x(-t)] xo(t)= 0.5[x(t)+x(-t)] please solution this math

[@kashishsharma5086]

Please add videos for properties of signals too. Thanks

[@newibas7166]

This audio to text activation disturbs very from seeing the screen. I can't see all the steps as you write them because the text on the screen blocks it.

[@vamsi-re7tj]

but you said that, trignometric functions are non-linear? i got clash over their

[@varungangishetty1594]

can we have lectures on z transforms

[@kaushikdr]

Isn't the law of homogenity the same as the law of additivity? The law of additivity is f(x+y) = f(x) + f(y) and the law of homogeneity is f(nx) = nf(x). Basically, you are replacing "y" with as many x's as you are multiplying. I guess the only scenario the law of additivity would not represent is if n was a decimal?

[@avxazc7933]

does this mean that the law of additivity isn't always applicable? so what determines when it is?

[@cherchil]

u have to find that out tho

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[@pritvarmora2036]

sir what if an system follows the equation ...y(x)=mx+c the equation and system is still linear but it does not follows the LOH

[@alphasatari]

If you’re defining a System then output and input depend on the same variable it should be, y(t) = mx(t)+c For a System to be linear, y(t) = 0 when, x(t) = 0 This is a non linear system.

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where non linear exp?

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Non linear... Am I right..

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what?

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❤

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listen in 1.25x

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Green

[@shankysays]

1:20 suprposition alone aint sufficient conditon. homogenity also must be followed...

[@shankysays]

I stopped watching the lec the moment you said that.. just completed the whole lecture. yeah, u stand correct. Thanks for pointing it out though... Peace!

[@shankysays]

I have on qs though, is there any case in which law of homogeneity is violated because everywhere in examples in the following 4 lectures, signals had been following LOH.

[@syedhaseebraza3461]

anyone who can solve this y{n}=Re{x[n]} reason

[@shigaharuki3767]

Pls i need the subtitles 😥

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[@Saahriar]

What is loa?

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Law of Additivity

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[@shri9229]

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