ghazi
somebody please explain unit step function ...how come it is defined at zero...though there is a jump ...but still were are able to differentiate and integrate it from zero ....
Delete
Share
This Question is Closed
experimentX
Best Response
You've already chosen the best response.
2
there are not really called functions ... rather generalized function and derivatives are called generalized derivatives.
ghazi
Best Response
You've already chosen the best response.
1
it would be great if you could make that generalisation more lucid...actually i am stuck and thinking of finding it other way..
experimentX
Best Response
You've already chosen the best response.
2
|dw:1346491565254:dw|
this is your step function f(t) = u(t-t_0)
experimentX
Best Response
You've already chosen the best response.
2
the derivative at t=t_0, would be delta(t-t_0)
ghazi
Best Response
You've already chosen the best response.
1
|dw:1346491624874:dw|
experimentX
Best Response
You've already chosen the best response.
2
yeah ... that works as a switch.
ghazi
Best Response
You've already chosen the best response.
1
how you define derivative at 0?
ghazi
Best Response
You've already chosen the best response.
1
exactly that works as a switch with constant supply
experimentX
Best Response
You've already chosen the best response.
2
at 0, the derivative will be equal to ... value of jump times delta(t)
ghazi
Best Response
You've already chosen the best response.
1
well don't we count for jump..i mean definition of derivative
experimentX
Best Response
You've already chosen the best response.
2
at this particular case ... you jump is just 1
experimentX
Best Response
You've already chosen the best response.
2
your slope is infinite ... so this acts as inpulse. there a very nice course from mit ocw. particularly exercise.
ghazi
Best Response
You've already chosen the best response.
1
slope is zero i guess
ghazi
Best Response
You've already chosen the best response.
1
it's a horizontal line
experimentX
Best Response
You've already chosen the best response.
2
at zero ... you have infinite slope
ghazi
Best Response
You've already chosen the best response.
1
impulse function has infinite slope at zero....actually point of confusion arises when i apply this concept in electrical circuit how come they consider derivative at zero or may be i am not able to correlate that properly
experimentX
Best Response
You've already chosen the best response.
2
working with Green's functions?
ghazi
Best Response
You've already chosen the best response.
1
no..working with impulse ramp and unit step function....i feel contradictory
ghazi
Best Response
You've already chosen the best response.
1
okay ...i'll have to check this out
experimentX
Best Response
You've already chosen the best response.
2
don't miss exercise.
ghazi
Best Response
You've already chosen the best response.
1
sure !! thank you ...