hamzahumayun
Newbie level 4
Hi,
I am confused with mathematically forming an equation for dirac comb when signal rate is doubled.
if i have a dirac comb:
\[\sum_{i}\] δ (t-i), and after doubling the rate, it can be written as
a).\[\sum_{i}\]δ (t-i/2).
I want to equate it as a sum of
b). \[\sum_{i}\]δ (t-i) + δ (t-i-1/2) .
i want b) but it is not equal to a) as there are twice the terms. How to change the limits or do what to make it equal to a)?
Thanks
Hamza
I am confused with mathematically forming an equation for dirac comb when signal rate is doubled.
if i have a dirac comb:
\[\sum_{i}\] δ (t-i), and after doubling the rate, it can be written as
a).\[\sum_{i}\]δ (t-i/2).
I want to equate it as a sum of
b). \[\sum_{i}\]δ (t-i) + δ (t-i-1/2) .
i want b) but it is not equal to a) as there are twice the terms. How to change the limits or do what to make it equal to a)?
Thanks
Hamza