I gather that is the unit step function
From this, you must show and
So given , you just have to show and
Hi,
I am taking a signal and system course. The book with all respect is not very helpful.
I have this problem:
show that
has the properties of a delta functionin the limit as
please can someone help me with this problem.
I would like to know what to do because I have another problem of the same type.
Thank you
B
From the theory of weak convergence of probability distributions, it is a theorem that the conditions I gave
and
imply
for all continuous functions So it may not be expected that this condition has to be shown for specific nascent delta functions in the exercises.
It is obvious that your condition implies mine (for suitably well behaved
functions) and vice versa, but by the delta function property I understand:
so it is
that has to be shown, which we may do by showing that it is sufficient to show that
your version of the property holds.
RonL