(→First Signal:) |
(→First Signal:) |
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== First Signal: == | == First Signal: == | ||
Show that | Show that | ||
| − | <math>\mathcal{F}(x(-t-1)) = \int_-\infty^\ | + | <math>\mathcal{F}(x(-t-1)) = e^{jw} \mathcal{X}(\mathcal{w})</math> |
| + | |||
| + | = \int_{-\infty}^{\infty} x(-t-1)e^{-jwt}dt </math> | ||
Revision as of 04:18, 23 October 2008
Explanation of Wednesday October 22nd In-Class Quiz
Today's Quiz was based on taking the Fourier Transform of a signal that had been time inverted and time shifted by using the definition of a Fourier Transform. The quiz consisted of two very similar questions. The first was to be answered working by oneself without notes. Following the completion of this problem, students papers were exchanged with a partner and then graded as they saw appropriate in comparison to the correct solution that was given on the overhead. After seeing how their paper was graded and having had a chance to study the solution given, the second problem was assigned and was to be graded by the TA for credit.
First Signal:
Show that $ \mathcal{F}(x(-t-1)) = e^{jw} \mathcal{X}(\mathcal{w}) $
= \int_{-\infty}^{\infty} x(-t-1)e^{-jwt}dt </math>
