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<math>\ h(t) = 5e^{-t} </math> | <math>\ h(t) = 5e^{-t} </math> | ||
| − | <math> H(jw) = 5\int_0^{\infty} e^{-\tau}e^{-jw{\tau}}\,d{\tau} </math> | + | <math>\ H(jw) = 5\int_0^{\infty} e^{-\tau}e^{-jw{\tau}}\,d{\tau} </math> |
| + | |||
| + | <math>\ H(jw) = 5[-{1 \over 1 + jw}e^{-\tau}e^{-jwr} ]^{\infty}_0 </math><br><br> | ||
| + | <math>\ H(jw) = 5{1 \over 1+ jw}</math><br><br><br> | ||
Revision as of 18:38, 26 September 2008
$ \ h(t) = 5e^{-t} $
$ \ H(jw) = 5\int_0^{\infty} e^{-\tau}e^{-jw{\tau}}\,d{\tau} $
$ \ H(jw) = 5[-{1 \over 1 + jw}e^{-\tau}e^{-jwr} ]^{\infty}_0 $
$ \ H(jw) = 5{1 \over 1+ jw} $
