Recent content by Legend101
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Fourier transform of a shifted and time-reversed sign
There has to be an exponential factor . Did you check my solution ?- Legend101
- Post #5
- Forum: Calculus and Beyond Homework Help
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Fourier transform of a shifted and time-reversed sign
Can you check the workout i did in the picture below ?- Legend101
- Post #3
- Forum: Calculus and Beyond Homework Help
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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...- Legend101
- Thread
- Discrete fourier transform Fourier Fourier transform Sign Transform
- Replies: 5
- Forum: Calculus and Beyond Homework Help
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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- Legend101
- Post #13
- Forum: Calculus and Beyond Homework Help
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Analytic solution of a Convolution Integral
Unfortunately , I'm not . It seems I need to do further readings :(- Legend101
- Post #11
- Forum: Calculus and Beyond Homework Help
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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 ?- Legend101
- Post #6
- Forum: Calculus and Beyond Homework Help
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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- Legend101
- Post #4
- Forum: Calculus and Beyond Homework Help
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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 .- Legend101
- Post #16
- Forum: Calculus and Beyond Homework Help
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Integral involving Dirac Delta generalized function
No worries . I showed my efforts in attached file- Legend101
- Post #14
- Forum: Calculus and Beyond Homework Help
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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...- Legend101
- Thread
- Analytic solution Convolution Integral
- Replies: 13
- Forum: Calculus and Beyond Homework Help
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Integral involving Dirac Delta generalized function
Thank you guys for your contribution :) I'll be posting a new topic regarding convolution integral :)- Legend101
- Post #12
- Forum: Calculus and Beyond Homework Help
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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- Legend101
- Post #7
- Forum: Calculus and Beyond Homework Help
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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 .- Legend101
- Post #5
- Forum: Calculus and Beyond Homework Help
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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 .- Legend101
- Post #3
- Forum: Calculus and Beyond Homework Help
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Integral involving Dirac Delta generalized function
Homework Statement Evaluate the integrals in the attached image Homework EquationsThe Attempt at a Solution- Legend101
- Thread
- Delta Dirac Dirac delta Function generalized Integral
- Replies: 16
- Forum: Calculus and Beyond Homework Help