Line 1: Line 1:
{|
+
=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]]

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\ $


Back to Table

Alumni Liaison

Followed her dream after having raised her family.

Ruth Enoch, PhD Mathematics