(New page: Category:ECE438Spring2009mboutinCategory:ECE438Spring2009mboutin:CourseNotes:Lecture4 == ECE438 Course Notes January 28, 2009 == <h3>Properties of L.T. (Continuous Time)</h3> <u...) |
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<li>Scaling and Shifting | <li>Scaling and Shifting | ||
<ul> | <ul> | ||
| − | <li><math>x(\frac{t-t_0}{a} \Rightarrow |a|*X(af)*e^{-j2\ | + | <li><math>x(\frac{t-t_0}{a}) \Rightarrow |a|*X(af)*e^{-j2\pi ft_0}</math></li> |
| + | </ul> | ||
| + | </li> | ||
| + | <li>Modulation | ||
| + | <ul> | ||
| + | <li><math>x(t)e^{j2\pi f_0t} \Rightarrow x(f*f_0)</math></li> | ||
| + | </ul> | ||
| + | </li> | ||
| + | <li>Reciprocity (Duality) | ||
| + | <ul> | ||
| + | <li><math>X(t) \Rightarrow X(-f)</math></li> | ||
| + | </ul> | ||
| + | </li> | ||
| + | <li>Parsevals Relation | ||
| + | <ul> | ||
| + | <li><math></math></li> | ||
</ul> | </ul> | ||
</li> | </li> | ||
</ul> | </ul> | ||
Revision as of 17:32, 9 February 2009
ECE438 Course Notes January 28, 2009
Properties of L.T. (Continuous Time)
- Scaling and Shifting
- $ x(\frac{t-t_0}{a}) \Rightarrow |a|*X(af)*e^{-j2\pi ft_0} $
- Modulation
- $ x(t)e^{j2\pi f_0t} \Rightarrow x(f*f_0) $
- Reciprocity (Duality)
- $ X(t) \Rightarrow X(-f) $
- Parsevals Relation
