(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...) |
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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 | + | 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>), | ||
| + | <math>X(jw)=</math> | ||
Revision as of 15:39, 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)= $
