HW 05: Difference between revisions

Revision as of 15:28, 17 November 2008

Find the following Fourier Transforms

$F[e^{j\omega _{0}t}]$	$=\int _{-\infty }^{\infty }e^{j\omega _{0}t}e^{-j\omega t}dt$
	$=\int _{-\infty }^{\infty }e^{j(\omega _{0}-\omega )t}dt$
	$=\delta (\omega _{0}-\omega )\,\!$

@@ Line 4: / Line 4: @@
 *<math>F[\sum_{-\infty}^{\infty}\alpha_n e^{j2\pi nt/T}]</math>
 *<math>F[\sin{\omega_0 t}]\,\!</math>
+==Solutions==
+{| border="0" cellpadding="0" cellspacing="0"
+|-
+|<math>F[e^{j \omega_0 t}]</math>
+|<math>=\int_{-\infty}^{\infty} e^{j \omega_0 t} e^{-j \omega t}dt</math>
+|-
+|
+|<math>=\int_{-\infty}^{\infty} e^{j (\omega_0-\omega) t}dt</math>
+|-
+|
+|<math>=\delta(\omega_0-\omega)\,\!</math>
+|}