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In signal processing, a filter is a device or process that transforms a signal by selectively choosing specific frequencies and leaving others with appropriate gain or as it is.

4 votes
3 answers
556 views

Efficient algorithm to impose boundary conditions while applying a 2d filter

It is possible to filter an image by using a 2d DFT. This will result in periodic boundary conditions. Now, is it possible to use the DFT to filter an image, while maintaining predefined boundary cond …
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2 votes

How to apply a Butterworth filter to data of varying sample rate?

I can figure out two options: Interpolate data Remember that filters are dynamical systems and solve the corresponding ordinary differential equation (ODE) In the second method, you basically use the …
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0 votes
0 answers
65 views

2d fourier based filter on odd image sizes

I am trying to use $$ f(x, y) (-1)^{x + y} \Leftrightarrow F(u - M/2, v - N/2) $$ to post-process the result of a Fourier-based filter operation, like so engine.run<Dft::Direction::Backward>(size, inp …
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