Finding output eqn using DTFT and inverse DTFT knowing impulse and input eqns!
The question is apparently simple, but I am very stuck and have been working on it for way too long, I must be missing something :(
Any help is greatly appreciated.
I am given an impulse response:
so to calculate
I know that:
so my strategy (and following the questions instructions) was to find then multiply it with to get and finally use the inverse DTFT to find .
simplifying this summation...
Now, when I multiply these two together, I have no idea how to find the inverse DTFT.
I have got:
how can I find the DTFT of something like this? I don't know the period of it and I have no idea how to simplify it into something to apply the inverse DTFT which I know as:
like I said, any advice would be greatly appreciated.
I have just found myself completely lost with this problem and doing loops trying to simplify my is absolutely killing me.
Thanks a lot!