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==Main Concepts== | ==Main Concepts== | ||
| + | Fourier Transforms and the frequency response of a system. | ||
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| + | :<math> Y\big(\omega) = H(j \omega) X(\omega) </math> | ||
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| + | Fourier transforms can be used to neatly and easily find the frequency response of a system. | ||
==Exercises== | ==Exercises== | ||
Revision as of 14:36, 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(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?
