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Chapter: Signals and Systems - Analysis of Continuous Time Signals

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Inverse Transforms

If we have the full sequence of Fourier coefficients for a periodic signal, we can reconstruct it by multiplying the complex sinusoids of frequency ω0k by the weights Xk and summing:

Inverse Transforms

 

If we have the full sequence of Fourier coefficients for a periodic signal, we can reconstruct it by multiplying the complex sinusoids of frequency ω0k by the weights Xk and summing:


 

We can perform a similar reconstruction for aperiodic signals


These are called the inverse transforms.

 

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