# Questions tagged [convolution]

Convolution is a mathematical operation on two functions f and g, producing a third function that is typically viewed as a modified version of one of the original functions.

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### Proof for the energy correction factor of DFT

I am looking for a mathematical proof for the energy correction factor in conteext of windowed discrete fourier transform. In Spectrum and spectral density estimation by the Discrete Fourier transform ...
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### Doubt on linear and circular convolution derivation

[I'm very new to this website and to DSP in general as well! :)] Hello everyone! I have a question on the derivation of the circular convolution. As far as I understand, we can define a circular ...
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### Is flipping a vector x the same as x[-n]?

I was intending to use the following convolution property in my Matlab code. $$y[-n]=x[-n]*h[n]=x[n]*h[-n]$$ However, I am noticing that the results seems not the expected ones, for example let have <...
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### Inequality involving zero-crossings of Difference of Gaussian and Laplacian of Gaussian

I am stuck on the following problem: Let $f$ be a smooth real function with a single inflection point and let $\sigma_1>\sigma_2>0$ be two real numbers. We denote $G_1$ and $G_2$ the associated ...
1 vote
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### 3D convolution product with Fourier transforms, FFTW and MPI in C

My question is not really from the field of signal processing but I think you are the most suited for answering my question. I am willing to compute the gravitational potential which can be written as ...
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