Recent content by Legend101

  1. Legend101

    Fourier transform of a shifted and time-reversed sign

    There has to be an exponential factor . Did you check my solution ?
  2. Legend101

    Fourier transform of a shifted and time-reversed sign

    Can you check the workout i did in the picture below ?
  3. Legend101

    Fourier transform of a shifted and time-reversed sign

    Homework Statement given a continuous-time signal g(t) . Its Fourier transform is G(f) ( see definition in picture / "i" is the imaginary number) . It is required to find the Fourier transform of the shifted-time-reversed signal g(a-t) where a is a real constant . That is , find the Fourier...
  4. Legend101

    Analytic solution of a Convolution Integral

    But the integral is from t-4 to t-2 . The intervals of t that we should consider are not the same as h(tau) 's intervals of definition . For now , i obtained 7 cases of t
  5. Legend101

    Analytic solution of a Convolution Integral

    Unfortunately , I'm not . It seems I need to do further readings :(
  6. Legend101

    Analytic solution of a Convolution Integral

    I seriously didn't understand . How did you know that the integral will be zero for t<3 and grow in...? How am i supposed to know the different intervals of t for integration ?
  7. Legend101

    Analytic solution of a Convolution Integral

    The problem , as i mentioned , is in the intervals of integration . We should consider to which interval t belongs . The overlapping confuses me
  8. Legend101

    Integral involving Dirac Delta generalized function

    The work involves many integrals and mathematical notations . It would be hard to show all the work directly written on the post especially if someone is using a smartphone .
  9. Legend101

    Integral involving Dirac Delta generalized function

    No worries . I showed my efforts in attached file
  10. Legend101

    Analytic solution of a Convolution Integral

    Homework Statement The question is in the attached image . My problem starts when dealing with the limits of integration . I need an analytic procedure of solving such problems without involving graphical method . The equations of the graphs of h(t) and x(t) are easily derived . Homework...
  11. Legend101

    Integral involving Dirac Delta generalized function

    Thank you guys for your contribution :) I'll be posting a new topic regarding convolution integral :)
  12. Legend101

    Integral involving Dirac Delta generalized function

    It is a Chegg solution . And it confused me . I believe that the first integral should be 1 , i just need more proof
  13. Legend101

    Integral involving Dirac Delta generalized function

    The second one would be 0 since -0.5 is not in the interval of integration . I found a solution to the first integral which totally confused me ( in the attached image) claiming that the answer should be 0 for 1st integral .
  14. Legend101

    Integral involving Dirac Delta generalized function

    thanks . I already know this property and many others (including the one in this new attached picture) . If I apply that rule (image) , i would get 1 in the first integral while many others told me 0 . I have problem with the first 2 integrals only .
  15. Legend101

    Integral involving Dirac Delta generalized function

    Homework Statement Evaluate the integrals in the attached image Homework EquationsThe Attempt at a Solution
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