M5L3 - Z Transform and ROC of a Infinite Length Right, Left and Double Sided Sequence

I have taken examples to Find Z Transform and its ROC of a infinite length Right sided , infinite length Left sided and infinite length Double sided sequence...

[@Nizaam-e-Mustafah]

You explained amazingly escpecialy when reverting the limits of summation in left handed sequence

[@sarahrameen8533]

jazakallah sir. may Allah show you the right path. you helped so much.

[@harsh44]

I have a doubt, why u(n) becomes 1, when we limit the range from 1 to infinite?

[@exploringlatex8693]

u(n) is unit step function and it is defined from n = 0 to n = infinity. Since it is 1, so, not necessory put u(n) , instad , we substitute as 1.

[@yahyavohra1861]

Sir how can we differentiate in ztransform that fucntion right sided or left sided 😢

[@exploringlatex8693]

You just have to differentiate with respect to Z…

[@igcpotential3876]

I have doubt 🧐 that is
-(z/a-z)
And.
(z/z-a)
Both are same and how
At 15:18

[@exploringlatex8693]

its a simple mathematical simplification, you just work it out, you will get it

[@nanipallapothu495]

At 19:40 i.e minus operation between them right

[@exploringlatex8693]

NO... ITS PLUS

[@nanipallapothu495]

Why

[@exploringlatex8693]

@@nanipallapothu495 ZT of -b^n u(-n-1) is z/(z-b)

[@shyamkumarbhattarai393]

ROC how??

[@exploringlatex8693]

hi shyam...can you be specific with your doubt please..

[@shyamkumarbhattarai393]

How ROC is |z|>a?

[@exploringlatex8693]

@@shyamkumarbhattarai393 i have clearly explained from 0:00 to 3:25 time line.... Which part you are not convinced please let me know... and also please refer my previous video about what is ROC ua-cam.com/video/I74MPCoS72Q/v-deo.html

[@shyamkumarbhattarai393]

I have a doubt that z transform of a^n u[n] is same as - a^n u[-n-1] i.e 1/(1-az^-1) but their roc are different how????

[@exploringlatex8693]

@@shyamkumarbhattarai393 Because both are infinite length sequence.. only difference is one is infinite length right sided sequence i.e a^n u[n] and other is infinite length left sided sequence i.e - a^n u[-n-1] . its proof is available in this video only...