(New page: == The relationship between Fourier and Laplace transform == The continuous-time Fourier transform provides us with a representation for signals s linear combinations of complex exponentia...)
 
(The relationship between Fourier and Laplace transform)
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== The relationship between Fourier and Laplace transform ==
 
== The relationship between Fourier and Laplace transform ==
The continuous-time Fourier transform provides us with a representation for signals s linear combinations of complex exponentials of the form <math>e^{st}</math> with <math>s=jw</math>
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The continuous-time Fourier transform provides us with a representation for signals as linear combinations of complex exponentials of the form <math>e^{st}</math> with <math>s=jw</math>.
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For s imaginary (i.e., <math>s=jw</math>),
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<math>X(jw)=</math>

Revision as of 16:39, 24 November 2008

The relationship between Fourier and Laplace transform

The continuous-time Fourier transform provides us with a representation for signals as linear combinations of complex exponentials of the form $ e^{st} $ with $ s=jw $.

For s imaginary (i.e., $ s=jw $), $ X(jw)= $

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang