Latest revision as of 12:16, 15 September 2010

How to obtain the time reversal property in terms of f in hertz (from the formula in terms of $\omega$ )

To obtain X(f), use the substitution

$\omega= 2 \pi f$ .

More specifically

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

$Since\ X(\alpha)=\mathcal{X}(2\pi \alpha) \$

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