#### sameer7

##### Newbie

I faced the below scenario , so I want to take your suggestions after I put forward my approach.

we have a signal and impulse ,𝑥(𝑡)=2⋅sin150𝜋 +sin250𝜋 and 𝑔(𝑡)=𝑥(𝑡)sin250𝜋 . We pass the signal 𝑔(𝑡) through an ideal lowpass filter with cutoff frequency 300𝜋 and passband gain of 3. what is the output of the Low Pass filter in this case?

As a solution approach, I multiplied x(t) with g(t) to get the sine product(and remove those values of frequencies above cutoff in the derived formula since it is a low pass filter) but I am not sure what I should do with passband gain? Could anyone suggest the possible approach if my assumptions for the above problem looks fine?

Kind regards

Sameer