Convolution theory

Discussion in 'Homework Help' started by hitmen, Mar 21, 2009.

  1. hitmen

    Thread Starter Active Member

    Sep 21, 2008
    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:(:confused:
  2. Papabravo


    Feb 24, 2006
    This is not a problem of sustitution, It is a problem of integration by parts
  3. vvkannan

    Active Member

    Aug 9, 2008
    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