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Single-Channel Separation Between Stationary and Non-stationary Signals Using Relevant Information

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Abstract

We propose a novel unsupervised single-channel approach to separate between stationary and non-stationary signals. To this, we enhance data representation through its time-frequency space, where stationarity is defined based on information theory. Then, we search for the projection of the time-frequency representation that is as stationarity as possible, but preserving most of the data information. The proposed approach validated on synthetic data. As performance measure, we use the correlation coefficient and the mean squared error between the original and the estimated stationary composing signals. Obtained results are compared against the baseline non-negative matrix factorization that separates dynamics from the time-frequency representation. As a result, our approach gets better performance even if assuming low power ratios, i.e., non-stationary signal power is higher or even equal than the stationary signal power.

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References

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Acknowledgments

This research is carried out under the grant project 22056 - DESARROLLO DE UN SISTEMA AUTOMÁTICO DE MAPEO CEREBRAL PARA EL MONITOREO Y TRATAMIENTO DE ENFERMEDADES NEURODEGENERATIVAS sponsored by DIMA from Universidad Nacional de Colombia - Manizales. It is also supported by the scholarship Programa Nacional de Formacion de Investigadores GENERACION DEL BICENTENARIO, 2011 and project Evaluación asistida de potenciales evocados cognitivos como marcador del transtorno por déficit de atensión e hiperactividad (TDAH) founded by COLCIENCIAS.

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Correspondence to J. D. Martínez-Vargas .

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Martínez-Vargas, J.D., Castro-Hoyos, C., Espinosa-Oviedo, J.J., Álvarez-Mesa, A.M., Castellanos-Dominguez, G. (2015). Single-Channel Separation Between Stationary and Non-stationary Signals Using Relevant Information. In: Paredes, R., Cardoso, J., Pardo, X. (eds) Pattern Recognition and Image Analysis. IbPRIA 2015. Lecture Notes in Computer Science(), vol 9117. Springer, Cham. https://doi.org/10.1007/978-3-319-19390-8_51

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  • DOI: https://doi.org/10.1007/978-3-319-19390-8_51

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19389-2

  • Online ISBN: 978-3-319-19390-8

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