(Dealing with Differentials)
(Dealing with Differentials)
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:a) What is the frequency response of the system?
 
:a) What is the frequency response of the system?
  
:b)What is the unit impulse response (h(t)) of the system?
+
:b)What is the unit impulse response h(t) of the system?
  
 
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Revision as of 13:39, 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?

a

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva