# Questions tagged [deconvolution]

in mathematics, the inverse operation of convolution signals. In general, the purpose of deconvolution is to find solutions of the convolution equation defined as: f * g = x. Where h is the recorded signal, and f is a signal that you want to recover, and we know that the first signal is obtained by convolution of the second with some known signal g. If the signal g is unknown, it has to be estimated (eg. statistical estimation).

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### How do I properly compute a convolution kernel given the convolved and initial signal?

I'm trying to for solve for $b$ in the equation $C = a*b$ where $C,a,b$ are 1D arrays of size $k$. $F(b)$ is also $= \frac{1}{|F(a)|}$. I have tried doing the following procedure in order to isolate ...
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### Confusion over deconvolution cost function gradient

A basic deconvolution problem is defined by the cost function $C(f) = ||f \star h - g||^2_2$, where $f$ and $g$ are unknown latent and measured images, $h$ is known kernel. I want to derive the ...
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### Inverse filtering to undo a convolution blows up

Essentially, I'm writing a paper in which I want a figure that shows the effect of convolving an arbitrary curve with a Gaussian. Then, I want to show that you can deconvolve it by taking the FFT of ...
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### USE Impulse response to get Original sound

I am a student majoring in acoustics. My English is not very good, so I apologize in advance. In my project, I am dealing with impulse response in room. Find the impulse response function between the ...
154 views

### Deconvolution with unknown impulse response

This is not a duplicate of Filter secondary bounces of a pulse signal because in that question, a convolution model is finally not appropriate, whereas here, the question is about convolution. Given ...
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1 vote
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### Filter secondary bounces of a pulse signal

I have a single "pulse" signal (looks like a gaussian but it is not exactly), followed by several bounces, with a constant period, that probably come from the electronics used (I don't have ...
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1 vote
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### How can I apply a filter to remove reverberation with python?

I am developing an algorithm that automates the processing of audio files for the assembly of datasets of machine learning models. Among the steps to be followed for the processing of the files is to ...
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### Python - Discrete deconvolution using Toeplitz matrix

Lets say I have 2 vectors (1D signals that are sigmoids): $s$ and $m$, both related through the relation: $m = s * r$, my goal here is to recover the vector $r$ (should be a gaussian $\rightarrow$ ...
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### Deconvolution using Toeplitz matrices [duplicate]

Lets say I have 2 vectors (1D signals that are sigmoids): $s$ and $m$, both related through the relation: $m = s * r$, my goal here is to recover the vector $r$ (should look like a gaussian). I tried ...
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1 vote
103 views

### Using an experimental PSF to perform a deconvolution

I have an experimental PSF (point spread function) of an optical system for remote sensing images. However, it is asymmetrical and has some sidelobes as below. And I want to perform deconvolution to ...
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### How to Dereverberate Speech taken in an Auditorium with Reverberation Time of 3.8 to 4 seconds

I'd like to cancel echoes from a Talk recorded in a large extremely reverberant auditorium. It's unintelligible as recorded, and I'm hoping to make it intelligible by echo cancellation. Audio was ...
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