Convolution theory

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

  1. hitmen

    Thread Starter Active Member

    Sep 21, 2008
    159
    0
    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

    Expert

    Feb 24, 2006
    10,135
    1,786
    This is not a problem of sustitution, It is a problem of integration by parts
     
  3. vvkannan

    Active Member

    Aug 9, 2008
    138
    11
    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
     
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