Mathematical Methods of Signal Processing in Neuroscience

This chapter offers a brief introduction to the novel advanced mathematical methods of analysis and processing of neurophysiological data. First, we give the rationale for the development of specific mathematical approaches for decoding information from non-stationary neurophysiological processes with time-varying features. Second, we focus on the development of mathematical methods for automatic processing and analysis of neurophysiological signals, more specifically, in the development of brain–computer interfaces (BCIs). Finally, we give an overview of the main applications of wavelet analysis in neuroscience, from the microlevel (the dynamics of individual cells or intracellular processes) to the macrolevel (dynamics of large-scale neuronal networks in the brain as a whole, ascertained by analyzing electro- and magnetoencephalograms).

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