# Questions tagged [source-separation]

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

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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 ...
17 views

### Bound on number of sensor for a minimal number of sources

Assume we have an $N$ microphone array. we record an audio scene with up to $M$ active sources in parallel. Is there a minimum bound on $N$ as a function of $M$? I am aware that different methods have ...
25 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 ...
18 views

### 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 ...
97 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 ...
48 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-...
20 views

### 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 ...
23 views

### I need help calculating blind source separation metrics; namely - SDR, SIR and SAR using bss_eval toolboxes?

I am referencing this paper: https://hal.inria.fr/inria-00564760/document I am using this download link for the MATLAB files: http://bass-db.gforge.inria.fr/bss_eval/ (Version 2.1) Background Ok so I ...
32 views

### Using complex number in non-negative matrix factorization (NMF) for signal source separation

In short, I wonder which kind of spectrum can be modeled using complex number in NMF. And could an imaginary part possibly be a vector? For detail, inspired by audio processing paper that used ...
26 views

### 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 ...
31 views

### how to do supervised NMF source separation?

I know how NMF works by itself (unsupervised), but I am now interested in learning how it works in the supervised way. Suppose I have a clean isolated time domain signal of about 3 seconds in length ...
18 views

### time-frequency masking with shared properties between vector masks

I am working on a source separation problem and I have a logical mask that when applied to the STFT matrix, gives me expected results. The problem here, is that the mask is based on a spectral feature,...
20 views

### 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: ...
81 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 $l_1$-...
121 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 ...
168 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 ...
89 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 ...
35 views

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### 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 ...
367 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 ...
249 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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### 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 ...
292 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 ...
135 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 ...
66 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 ...
78 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!
243 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 ...
1k 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 ...
134 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, ...
82 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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### 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 ...
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### Difference between single channel and single microphone separation

What is the difference between single channel separation and single microphone separation? Are they equal?
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### Is there a way to apply blind source separation using ONE mixture?

This question is a follow-up for my previous one: Reduce the "glare" effect of a receiver within a system. I have broken the problem into pieces and I humbly think that I've got a way to ...
122 views

### How can I connect multiple microphones to my computer (more than 4) and process the outputs independently? [closed]

I am trying to create something like a heat map for sounds originating in a classroom to study the discussions inside the classroom. For this I am instaling directional microphones in various parts of ...
I have four sensors which make measurements $y_k(t)$ that can be modeled as complex time series: $y_1(t) = h_1(t) * x(t) + n_1(t)$ $y_2(t) = h_2(t) * x(t) + n_2(t)$ $y_3(t) = h_3(t) * x(t) + n_3(t)$...
I have a problem of the following form. There are two signals, x(t) and y(t). The model for the system is such that: $$x(t) = x'(t) + f(y(t))$$ where $f(y(t))$ is a variable offset introduced by ...