Signal Processing for Neuroscientists

Wim van Drongelen studied Biophysics at the University Leiden, The Netherlands. After a period in the Laboratoire d'Electrophysiologie, Université Claude Bernard, Lyon, France, he received the Doctoral degree cum laude. In 1980 he received the Ph.D. degree. He worked for the Netherlands Organization for the Advancement of Pure Research (ZWO) in the Department of Animal Physiology, Wageningen, The Netherlands. He lectured and founded a Medical Technology Department at the HBO Institute Twente, The Netherlands. In 1986 he joined the Benelux office of Nicolet Biomedical as an Application Specialist and in 1993 he relocated to Madison, WI, USA where he was involved in research and development of equipment for clinical neurophysiology and neuromonitoring. In 2001 he joined the Epilepsy Center at The University of Chicago, Chicago, IL, USA. Currently he is Professor of Pediatrics, Neurology, and Computational Neuroscience. In addition to his faculty position he serves as Technical and Research Director of the Pediatric Epilepsy Center and he is Senior Fellow with the Computation Institute. Since 2003 he teaches applied mathematics courses for the Committee on Computational Neuroscience. His ongoing research interests include the application of signal processing and modeling techniques to help resolve problems in neurophysiology and neuropathology. For details of recent work see http://epilepsylab.uchicago.edu/

1. Introduction
2. Data Acquisition
3. Noise
4. Signal Averaging
5. Real and Complex Fourier Series
6. Continuous, Discrete, and Fast Fourier Transform
7. 1D and 2D Fourier Transform Applications
8. Lomb’s Algorithm and Multi-Taper Power Spectrum Estimation
9. Differential Equations: Introduction
10. Differential Equations: Phase Space and Numerical Solutions
11. Modeling
12. Laplace and z-Transform
13. LTI Systems, Convolution, Correlation, Coherence, and the Hilbert Transform
14. Causality
15. Introduction to Filters: The RC-Circuit
16. Filters: Analysis
17. Filters: Specification, Bode Plot, and Nyquist Plot
18. Filters: Digital Filters
19. Kalman Filter
20. Spike Train Analyses
21. Wavelet Analysis: Time Domain Properties
22. Wavelet Analysis: Frequency Domain Properties
23. Low Dimensional Nonlinear Dynamics: Fixed Points, Limit Cycles and Bifurcations
24. Volterra Series
25. Wiener Series
26. Poisson-Wiener Series
27. Nonlinear Techniques
28. Decomposition of Multi-Channel Data
29. Modeling Neural Systems: Cellular Models
30. Modeling Neural Systems: Network Models