fft-c | Elegant Fast Fourier Transform in C. Making fft | Video Utils library
kandi X-RAY | fft-c Summary
kandi X-RAY | fft-c Summary
Elegant Fast Fourier Transform in C. Making fft.c from fftpack user-friendly.
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QUESTION
I am working in C++ inside Vitis HLS from Xilinx. I am writing a simple buffer to perform the well know overlap and add algorithm (https://www.eetimes.com/fft-convolution-and-the-overlap-add-method/)
My code creates a static object (my buffer) and then works with a "sample-wise" approach.
The code I am using is the following (header + function to be synthesized + testbench):
Overlapper_HLS.hpp:
...ANSWER
Answered 2021-Jul-01 at 13:58The main problem was the usage of my #define BUFFER IFFT_LENGTH - INPUT_WINDOW_LENGTH
inside the indexing of the following code snippet:
QUESTION
I implemented FFT-based convolution in Pytorch and compared the result with spatial convolution via conv2d() function. The convolution filter used is an average filter. The conv2d() function produced smoothened output due to average filtering as expected but the fft-based convolution returned a more blurry output. I have attached the code and outputs here -
spatial convolution -
...ANSWER
Answered 2020-Jun-08 at 14:53The main problem with your code is that Torch doesn't do complex numbers, the output of its FFT is a 3D array, with the 3rd dimension having two values, one for the real component and one for the imaginary. Consequently, the multiplication does not do a complex multiplication.
There currently is no complex multiplication defined in Torch (see this issue), we'll have to define our own.
A minor issue, but also important if you want to compare the two convolution operations, is the following:
The FFT takes the origin of its input in the first element (top-left pixel for an image). To avoid a shifted output, you need to generate a padded kernel where the origin of the kernel is the top-left pixel. This is quite tricky, actually...
Your current code:
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