Nikolaos Mitianoudis Academic Page

Batch and online underdetermined source separation using Laplacian Mixture Models

Some samples demonstrating the algorithms and the experiments proposed and conducted in the following paper are presented here:

"A Generalised Directional Laplacian Distribution: Estimation, Mixture Models and Audio Source Separation", submitted to IEEE Transactions in Audio, Speech and Language Processing.

"A Directional Laplacian Density for Underdetermined Audio Source Separation ", 20th International Conference on Artificial Neural Networks (ICANN), Thessaloniki, Greece, September 2010.

"Batch and online underdetermined source separation using Laplacian Mixture Models", IEEE Transactions in Audio, Speech and Language Processing, Vol. 15, No. 6, pp. 1818 - 1832, August 2007.

"Underdetermined Source Separation using Mixtures of Warped Laplacians ", International Conference on Independent Component Analysis and Source Separation (ICA), London, UK, September 2007.

Batch Processing

A 3x5 example (3 sensor-5 sources scenario)
Sources: Source l - Source 2 - Source 3 - Source 4 - Source 5
Mixture: Mixed Signal 1- Mixed Signal 2- Mixed Signal 3
MDLD-EM: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5

A 4x8 example (4 sensor-8 sources scenario)
Sources: Source l - Source 2 - Source 3 - Source 4 - Source 5 - Source 6 - Source 7 - Source 8
Mixture: Mixed Signal 1- Mixed Signal 2 - Mixed Signal 3 - Mixed Signal 4
MDLD-EM: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5 - Separated Source 6 - Separated Source 7 - Separated Source 8

Latino 1
Sources: Source l - Source 2 - Source 3 - Source 4
Mixture: Mixed Signal (Stereo)
MDLD-EM: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
WLMM-Hard: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
LMM-Soft: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
LMM-Hard: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
Hyvarinen: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
Hard-LOST: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
Soft-LOST: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
< DUET: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4

Latino 2
Sources: Source l - Source 2 - Source 3 - Source 4
Mixture: Mixed Signal (Stereo)
MDLD-EM: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
WLMM-Hard: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
LMM-Soft: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
LMM-Hard: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
Hyvarinen: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
Hard-LOST: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
Soft-LOST: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
DUET: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4

Groove
Sources: Source l - Source 2 - Source 3 - Source 4
Mixture: Mixed Signal (Stereo)
MDLD-EM: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
WLMM-Hard: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
LMM-Soft: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
LMM-Hard: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
Hyvarinen: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
Hard-LOST: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
Soft-LOST: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4
DUET: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4

Five Uncorrelated Audio sources - Case 1
Sources: Source l - Source 2 - Source 3 - Source 4 - Source 5
Mixture: Mixed Signal (Stereo)
WLMM-Hard: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5
LMM-Soft: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5
LMM-Hard: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5
Hyvarinen: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5
Hard-LOST: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5
Soft-LOST: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5
DUET: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5

Five Uncorrelated Audio sources - Case 2
Sources: Source l - Source 2 - Source 3 - Source 4 - Source 5
Mixture: Mixed Signal (Stereo)
WLMM-Hard: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5
LMM-Soft: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5
LMM-Hard: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5
Hyvarinen: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5
Hard-LOST: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5
Soft-LOST: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5
DUET: Separated Source 1 - Separated Source 2 - Separated Source 3 - Separated Source 4 - Separated Source 5

Online Processing - Stationary mixing

Three Uncorrelated Audio sources - Distant Directions of Arrival
Sources: Source l - Source 2 - Source 3
Mixture: Mixed Signal (Stereo)
Online-LMM: Separated Source 1 - Separated Source 2 - Separated Source 3
Online-Hyvarinen: Separated Source 1 - Separated Source 2 - Separated Source 3

Three Uncorrelated Audio sources - Closer Directions of Arrival
Sources: Source l - Source 2 - Source 3
Mixture: Mixed Signal (Stereo)
Online-LMM: Separated Source 1 - Separated Source 2 - Separated Source 3
Online-Hyvarinen: Separated Source 1 - Separated Source 2 - Separated Source 3

Online Processing - Non-Stationary mixing

Three Uncorrelated Audio sources - Similar Sinusoidal movement
Sources: Source l - Source 2 - Source 3
Mixture: Mixed Signal (Stereo)
Online-LMM: Separated Source 1 - Separated Source 2 - Separated Source 3
Online-Hyvarinen: Separated Source 1 - Separated Source 2 - Separated Source 3

Three Uncorrelated Audio sources - Different movement
Sources: Source l - Source 2 - Source 3
Mixture: Mixed Signal (Stereo)
Online-LMM: Separated Source 1 - Separated Source 2 - Separated Source 3
Online-Hyvarinen: Separated Source 1 - Separated Source 2 - Separated Source 3