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==Exercises== | ==Exercises== | ||
===Tricky Fourier Transform=== | ===Tricky Fourier Transform=== | ||
| − | Compute the Fourier Transform of u(t-3) | + | Compute the Fourier Transform of <math>u\big(t-3)</math> |
===Dealing with Differentials=== | ===Dealing with Differentials=== | ||
Revision as of 13:36, 8 October 2008
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Main Concepts
Fourier Transforms and the frequency response of a system.
- $ Y\big(\omega) = H(j \omega) X(\omega) $
Fourier transforms can be used to neatly and easily find the frequency response of a system.
Exercises
Tricky Fourier Transform
Compute the Fourier Transform of $ u\big(t-3) $
Dealing with Differentials
Given:
- $ \frac{d y(t) }{dx} + 4y(t) = x(t) $
- a) What is the frequency response of the system?
- b)What is the unit impulse response (h(t)) of the system?
