Spectral Analysis and Time Series - max planck research school ...
Spectral Analysis and Time Series - max planck research school ...
Spectral Analysis and Time Series - max planck research school ...
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A. Lagg – <strong>Spectral</strong> <strong>Analysis</strong><br />
FFT for Convolution<br />
1. zeropad data<br />
2. zeropad response function<br />
(> data <strong>and</strong> response function have N elements)<br />
3. calculate FFT of data <strong>and</strong> response function<br />
4. multiply FFT of data with FFT of response function<br />
5. calculate inverse FFT for this product<br />
Deconvolution<br />
> undo smearing caused by a response function<br />
use steps (13), <strong>and</strong> then:<br />
4. divide FFT of convolved data with FFT of response<br />
function<br />
5. calculate inverse FFT for this product
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