Frequency domain convolution vs Time domain multiplication

2014 5 28
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更新时间：2014 9 3
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Hi, I want to smooth PSD. What I think is I calculated aurocorrelation via xcorr. Then I calculated fourier transform vit fft. Then convolved with gaussian windows. I get smoothed PSD.
According to fourier transform property instead of convolution, I can calculate ifft of PSD(which equal to autocorrelation) and ifft of gaussian window. I can multiply in time domain and I can calculate fourier transform. When I use this way I couldn't get smoothed PSD. Where is the problem?

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回答（1 个）

Image Analyst
Image Analyst 2014-9-3

0 个投票

It should be that way. Are you sure the Gaussian was wide enough in the spatial domain and narrow enough in the spectral domain to notice any difference? Try different widths.

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