Find convolution of $operatorname{sinc}(t-3)*operatorname{sinc}(pi(t+3))$












0












$begingroup$



How can I find the following convolution?$$operatorname{sinc}(t-3)*operatorname{sinc}(pi(t+3))$$




Where $operatorname{sinc}$ refers to this function.



I can't understand how to use integration to compute this function.










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$endgroup$








  • 1




    $begingroup$
    Use the Fourier Transform, which lets you say $f(t)*g(t)=mathcal{F}^{-1}{mathcal{F}{f(t)}cdotmathcal{F}{g(t)}}$
    $endgroup$
    – Andy Walls
    Dec 18 '18 at 22:38










  • $begingroup$
    @AndyWalls, I understood, thank for help
    $endgroup$
    – Thien Hoang Dang
    Dec 24 '18 at 11:02
















0












$begingroup$



How can I find the following convolution?$$operatorname{sinc}(t-3)*operatorname{sinc}(pi(t+3))$$




Where $operatorname{sinc}$ refers to this function.



I can't understand how to use integration to compute this function.










share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    Use the Fourier Transform, which lets you say $f(t)*g(t)=mathcal{F}^{-1}{mathcal{F}{f(t)}cdotmathcal{F}{g(t)}}$
    $endgroup$
    – Andy Walls
    Dec 18 '18 at 22:38










  • $begingroup$
    @AndyWalls, I understood, thank for help
    $endgroup$
    – Thien Hoang Dang
    Dec 24 '18 at 11:02














0












0








0





$begingroup$



How can I find the following convolution?$$operatorname{sinc}(t-3)*operatorname{sinc}(pi(t+3))$$




Where $operatorname{sinc}$ refers to this function.



I can't understand how to use integration to compute this function.










share|cite|improve this question











$endgroup$





How can I find the following convolution?$$operatorname{sinc}(t-3)*operatorname{sinc}(pi(t+3))$$




Where $operatorname{sinc}$ refers to this function.



I can't understand how to use integration to compute this function.







convolution






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 18 '18 at 21:17









Mason

1,9751530




1,9751530










asked Dec 18 '18 at 19:24









Thien Hoang DangThien Hoang Dang

64




64








  • 1




    $begingroup$
    Use the Fourier Transform, which lets you say $f(t)*g(t)=mathcal{F}^{-1}{mathcal{F}{f(t)}cdotmathcal{F}{g(t)}}$
    $endgroup$
    – Andy Walls
    Dec 18 '18 at 22:38










  • $begingroup$
    @AndyWalls, I understood, thank for help
    $endgroup$
    – Thien Hoang Dang
    Dec 24 '18 at 11:02














  • 1




    $begingroup$
    Use the Fourier Transform, which lets you say $f(t)*g(t)=mathcal{F}^{-1}{mathcal{F}{f(t)}cdotmathcal{F}{g(t)}}$
    $endgroup$
    – Andy Walls
    Dec 18 '18 at 22:38










  • $begingroup$
    @AndyWalls, I understood, thank for help
    $endgroup$
    – Thien Hoang Dang
    Dec 24 '18 at 11:02








1




1




$begingroup$
Use the Fourier Transform, which lets you say $f(t)*g(t)=mathcal{F}^{-1}{mathcal{F}{f(t)}cdotmathcal{F}{g(t)}}$
$endgroup$
– Andy Walls
Dec 18 '18 at 22:38




$begingroup$
Use the Fourier Transform, which lets you say $f(t)*g(t)=mathcal{F}^{-1}{mathcal{F}{f(t)}cdotmathcal{F}{g(t)}}$
$endgroup$
– Andy Walls
Dec 18 '18 at 22:38












$begingroup$
@AndyWalls, I understood, thank for help
$endgroup$
– Thien Hoang Dang
Dec 24 '18 at 11:02




$begingroup$
@AndyWalls, I understood, thank for help
$endgroup$
– Thien Hoang Dang
Dec 24 '18 at 11:02










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