The question is x(t) = t h(t) = 2δ(t-1) I am supposed to find y(t) so I end up with the integral from -infinity to infinity of 2tδ(t-1) so I sub in 1 into t giving me 2. However, my lecturer say the answer is 2t-2
Hello hitmen, Impulse response is the response we get when we give an input signal of magnitude 1 at t=0. Here the response is 2del(t-1).so the magnitude is 2 times the input(as we gave a signal of magnitude 1) and it is delayed in time by 1 (t-1). So whatever signal we give it is delayed in time by 1 and its magnitude becomes 2 times. so t is delayed by 1 and hence t-1 and magnitude becomes twice and so 2(t-1). Hope this helps