Questions tagged [source-separation]

Source separation is the study of separating signal(s) from mixed sources.

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24 views

sound source localization - calculation of sound intensity vector angles

I'm working on an acoustic source separation problem where I want to separate the voices of a choir based on intensity vector statistics. I'm currently implementing a paper by Günel called “Acoustic ...
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42 views

Is there a repository for source separation test images e.g. the star-galaxy images?

I'm having trouble finding standard images used for testing source-separation algorithms in image processing. For instance, a common example I see is the "star-galaxy" images. Most papers I'...
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Can Principal Component Analysis (PCA) Solve the Cocktail Party Problem?

I'm looking into the cocktail party problem and trying to figure out whether something like Principal Component Analysis is enough to separate out all the various voices at the cocktail party into its ...
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Source Localization in the context of EEG

I am having difficulty understanding how source localization is used in Brain-Computer Interface (BCI) as a feature extraction method. As a bit of introduction, the measured activity (Matrix M) is a ...
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Fast ICA : recover the sources with their mean after prewhitening

I want to apply the FastICA algorithm on a certain dataset. I believe the sources the Fast ICA can recover are able to explain other data as well (in similar way to factor analysis). However, I also ...
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1answer
117 views

Separating/recovering base signal from two mixed signals, given phase information

I have collected two signals, $B_1(x)$ and $B_2(x)$. The signals start and end at the same $x$-values. Each signal $B_i(x)$ contains: a base signal $b(x)$, which is the same for both, and a signal, ...
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37 views

How to extract two signals from one signal by selecting right index?

Assume that we want to solve $$AX=B$$ Where both $A, X, B$ are matrices. I solved this by using ordinary least squares: $$X = (A^TA)^{-1}A^TB$$ And I got this result for one column in $X$. Here ...
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SoX silence : newfile : restart not working correctly/as expected

I have a live radio feed I am trying to capture using rtl_fm and SoX. The source comes in random bursts a few hours long with gaps of days or weeks between events. I would like to capture each of the ...
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40 views

FastICA: what happens when we have more source than channel?

I am reading the original article proposing FastICA and I have a couple of question on point not covered in the article. Both answering me or providing a source will be very appreciated. I want to ...
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38 views

Source separation on multiple observations of the same signal

I possess an ensemble of signal observations: $x_i[n]=s[n]*g_i[n]$, $i=1,2,....,N$ where $N$ is a very large number compared to individual signal lengths (signal lengths are identical). Here, $s[n]$ ...
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What is the best way to separate data using compressive sensing?

In the book Compressed Sensing by Kutyniok et al, the author talks about data separation using sparse representation. In summary, if we have a signal vector $x = x_1 + x_2$ Then, it would be ...
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1answer
41 views

Separate two measured combinations of two signals with different time delays

I have two signal s1(t) and s2(t) that I want to extract but I can only measure: y1(t) = s1(t) + s2(t-d1) y2(t) = s1(t-d2) + s2(t-d3) The time delays d1, d2 and d3 are unknown, though I have a ...
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Blind source separation from microphone array

I was following this article and I wanted to "borrow" their Idea for my own work. The difference is that I am using a microphone tetrahedral array and not a binaural microphone. I have two different ...
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655 views

Splitting an audio signal into multiple audio signals based on frequency range in Librosa

Using the Librosa package in Python, how may I separate an audio signal into multiple audio signals based on frequency range? I have a file music.mp3. I used HPSS ...
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63 views

Blind source separation with one source rotated

I have two images: $$ I_1 = w_{11}A + w_{12}B, \\ I_2 = w_{21}A + w_{22} \bar{B}. $$ $A$ and $B$ are unknown. $\bar{B}$ is ${B}$ rotated by 180 degree. For both images, $A$ has higher signal-to-...
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How to classify overlapped signals?

A known signal, signal 1 got overlapped with an unknown signal. Likewise, signal 2 overlapped with another unknown signal. The problem I face now is how to classify the overlapped signals based on the ...
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Incorporate another dimension to non-negative matrix factorization (NMF)?

My first data profile has 3 dimensions; atom pattern (I think it is similar to frequency), time, and signal intensity. I can use supervised NMF for source separation straightforwardly. Because the ...
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Improve NMF for data with partial overlaps in multiple groups?

I want to use NMF to separate true sources from data. My data is in group structure with overlap elements. For example (in the smaller version) group1: contains A,B,C,D,E,F,G patterns group2: ...
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1answer
131 views

How Is Mixed Norm ($ {L}_{1, 2 }$) Better than $ {L}_{1} $ Norm for Sparse Representation?

Using $ {l}_{1} $-norm regularization for the purpose of achieving sparsity of the solution has been successfully applied a lot. But many times, I found the paper using mixed-norm instead of $l_1$-...
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4answers
407 views

How to isolate overlapping FM signals?

Analogue radio stations often have a range of frequencies that they can use. Different transmission towers will transmit on different carrier frequencies in this range, because the signal takes time ...
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2answers
274 views

Audio Steganography: Inaudible Audio Watermarking for Source Identification

What is a relatively inaudible audio watermarking technique to overlay a broadband audio signal on top of playing music without analysing the music for low-bitrate source identification? Ideally ...
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135 views

Generalized Sidelobe Cancelling performance

I'm tinkering with different adaptive beam-forming algorithms for a research project in which I want to use a Uniform Rectangular microphones Array (URA) to isolate speech in a room. I am determining ...
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1answer
37 views

Is sparsity induced penalty in source separation “Entrywise matrix norms”?

I am reading this paper where they introduce norm penalties for source separation. In table 1, the $\log/ l_1$ type is $\sum_{g} log(\epsilon + \lVert H_{g} \rVert_1)$. I wonder this $\lVert H_{g} \...
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Find which groups of ants are coexisted in the location from their signal profiles using NMF

I try to solve biological problem to tell which groups of ants are co-existed at this location by their sounds in specific time frame. My chosen framework is Non-negative Matrix Factorisation (NMF) ...
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Sourse separation from known underdetermined mixing matrix

How to recover uncorrelated N sources from given N-1 signals and known mixing matrix M, (e.g. 9x8 matrix)? If I just use pseudo-inverse matrix M+, my source estimates are correlated with each other ...
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1answer
102 views

Correlated signals separation with reference

I have a signal S, which needs to be split into two components Sx and Sy. And I have a signal X, which is a reference signal corresponding to Sx. I need to perform this split of S and check that ...
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127 views

Speaker diarization tool for acoustic analysis

I'm researching certain acoustic prosodic features during live clinical interactions. Because of the setting, the recordings always have cross channel bleed, and in some cases everything is recorded ...
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1answer
28 views

Can I start testing my NMF with extension on sample that have only one source?

I am testing my supervised NMF algorithm to extract signal from observation that have only one source inside. I am new here and I wonder this is very weak model or not? Is it acceptable in signal ...
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1answer
96 views

How to recover signal repeated throughout other signal?

I have an audio signal that contains, at various time offsets, various other short audio signals, often repeated, in addition to other audio content. Here is an example of how that could look like: <...
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What ICA approach is best-suited for semi-blind convolved source separation?

I have a mixed discrete signal $$ A(t_i) = [s(t_i) + a f(t_i+\delta)] \circ g(t_i) $$ for n number of temporal points where $s(t_i)$, $a$, $\delta$ are unknown. $\circ g(t)$ is a convolution, where ...
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1answer
80 views

Compression Sensing for Blind Source Separation

I am new to Signal Processing, and am interested in compression sensing for audio files. CS is based on the algorithm that, given some sampling of a signal $f$ in order to obtain a smaller (compressed)...
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124 views

Best Method to Separate square wave and smooth wave

I have a signal consists of a smooth wave and square waves. Is there comprehensive method can separate square wave and smooth signal? I looked for the likelihood ratio test but cannot find any ...
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1answer
379 views

Is This Interpretation of Auxiliary Independent Vector Analysis (AuxIVA) Correct?

I am implementing auxiliary function based Independent Vector Analysis (AuxIVA) from Nobutaka Ono's original paper Stable and fast update rules for independent vector analysis based on auxiliary ...
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The effect of the mixed signals probability distribution on the ICA performance

Does the mixed signals distribution affect the ICA performance? I mean the ability of ICA to get the sources. Assume that the mixed signals follows a Gaussian distribution and of course the sources ...
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1answer
166 views

Extremely large reconstruction errors in NMF

First time in this stack... I am doing some audio analysis. I have a spectrogram ($N\approx 33000, M=1024$) and I need to run an NMF algorithm on it. I am using the Scikit learn implementation. And ...
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1answer
195 views

Blind Source Separation of Real World Mixture

I have been toying with both non-negative matrix factorization (NMF), independent component analysis (ICA) and independent vector analysis (IVA) for separating speech mixtures. I'm trying to separate ...
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2k views

Non-negative matrix factorization for audio separation - why does it work?

Non-Negative Matrix Factorization aims to factorize a matrix $\mathbf V$ into the product of two matrices, $\mathbf V = \mathbf W\mathbf H$, where $\mathbf W$ represents a set of basis vectors and $\...
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2answers
403 views

Is it correct to subtract two signals acquired over different times and trials to remove the common signal in them?

I have two signals that represent the response of a neuron under two different conditions. Signal 1 (S1): response to Stimulus A Signal 2 (S2): response to Stimulus A+B The response to stimulus A is ...
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470 views

Independent component analysis for one observation of a Signal

So I am a complete novice to ICA, so excuse my question if it is bad one, but I have the signal: $$\sin(2\pi x) + \sin(4\pi x) + \textrm{Additive White Gaussian Noise}$$ I want to try to separate ...
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3answers
275 views

Isolate recurrent pattern vs. evolving background sound

Here is a sound example for what follows. Let's assume we have a signal $$s(t) = r(t) + e(t)$$ where: $r(t)$ is a signal which is recurrent with a given period, i.e. in my example $r(t) = $ the ...
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54 views

Supervised instrument recognition

Is it possible to use NMF for a sort of supervised polyphonic instrument recognition? I have training data for a timpani and training data for a bongo (or a bongo, snare and box drum). How can I ...
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4answers
403 views

Blind Signal separation vs … what?

I've been learning about blind signal separation. I have noticed that there are a number of algorithms for performing blind signal separation. (eg: Independent component analysis) Which begs the ...
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1answer
149 views

Solving Scale and Permutation indeterminacies in Blind Source Separation

Many papers using blind source separation algorithms solve the inherent scale and permutation indeterminacies of the estimated mixing matrix using an "optimal method", however this method is never ...
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2answers
70 views

Figure of merit for 'locality of power'

I have a raw signal which, if interpreted correctly with various 'tuning' parameters set to their optimum values, can be seen to consist of a relatively small (but a priori unknown) set of discrete ...
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85 views

Is an MFCC a linear transform?

Can one determine if an MFCC vector represents a combination of two sounds whose MFCCs were previously given? Any guidance is appreciated!
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2answers
278 views

Improving the separation of a signal into source and filter

I am implementing a voice morphing system, but I am having difficulties getting a good quality output signal. The method I am using is LPC analysis and synthesis. In theory, the LPC process should ...
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3answers
2k views

good free software (or code) to separate multiples sources in a single wav?

For a school project I'm working on instrument classification on multi-instrumental tracks. To do so, I'm following Arie Livshin's modus operandi, and I would like to get a good software to perform ...
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3answers
156 views

Is there a way to separate 2 signals recorded on the same channel?

I have 2 low frequency signals on the same line that look like this: I would like to separate them so that I obtain the two signals that can be seen here: The sampling is not perfectly intercalated, ...
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1answer
85 views

Multi Image (Same Noise Realization) Denoising

I have two signals Sa and Sb, both affected by the same noise. I don't know how much noise is mixed into each one, and the signal+noise is transformed using some (unknown) nonlinear function before I ...
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69 views

What is the best book on Digital Signal processing for math majors? [duplicate]

I am a math major and have knowledge of Calculus, Real and Complex Analysis,PDEs and probability theory. I would like to get started with DSP and need a book suitable for math majors. Please give your ...