Latest revision as of 11:02, 15 September 2010

How to obtain the CTFT of a unit impulse formula in terms of f in hertz (from the formula in terms of $\omega$ )

Recall:

$\mathcal{X}(\omega)=1$

To obtain X(f), use the substitution

$\omega= 2 \pi f$ .

More specifically

$X(f)=\mathcal{X}(2\pi f)=1\$

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-{|
+=How to obtain the CTFT of a unit impulse formula in terms of f in hertz (from the formula in terms of <math>\omega</math>) =
-|-
-| align="left" style="padding-left: 0em;" | CTFT of a unit impulse
+Recall:
-|-
-| <math>X(f)=\mathcal{X}(2\pi f)=1\ </math>
+<math> \mathcal{X}(\omega)=1 </math>
-|-
-|}
+To obtain X(f), use the substitution
+<math>\omega= 2 \pi f </math>.
+More specifically
+<math>X(f)=\mathcal{X}(2\pi f)=1\ </math>
+----
+[[ECE438_HW1_Solution|Back to Table]]