By Will Gersch (auth.), Isak Gath, Gideon F. Inbar (eds.)
In contemporary years there was fast growth within the improvement of sign processing commonly, and extra particularly within the program of sign processing and development research to organic signs. innovations, equivalent to parametric and nonparametric spectral estimation, larger order spectral estimation, time-frequency tools, wavelet rework, and identifi cation of nonlinear platforms utilizing chaos thought, were effectively used to explain uncomplicated mechanisms of physiological and psychological approaches. equally, organic signs recorded in the course of day-by-day clinical perform for scientific diagnostic methods, resembling electroen cephalograms (EEG), evoked potentials (EP), electromyograms (EMG) and electrocardio grams (ECG), have enormously benefitted from advances in sign processing. which will replace researchers, graduate scholars, and clinicians, at the most recent advancements within the box, a world Symposium on Processing and development research of organic indications was once held on the Technion-Israel Institute of know-how, in the course of March 1995. This e-book comprises 27 papers brought through the symposium. The ebook follows the 5 periods of the symposium. the 1st part, Processing and development research of ordinary and Pathological EEG, money owed for many of the newest advancements within the zone of EEG processing, specifically: time various parametric modeling; non-linear dynamic modeling of the EEG utilizing chaos conception; Markov research; hold up estimation utilizing adaptive least-squares filtering; and purposes to the research of epileptic EEG, EEG recorded from psychiatric sufferers, and sleep EEG.
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Extra info for Advances in Processing and Pattern Analysis of Biological Signals
First, we describe the general methodology used; second, we present some EEG data, obtained from animals and from patients, to which this computational methods were applied; third, we deduce some general conclusions that can be helpful for understanding the dynamics of neuronal networks both under normal and epileptic conditions. GENERAL METHODOLOGY TO IDENTIFY THE PRESENCE OF CHAOS IN EEG SIGNALS The basic elements of the theory of deterministic chaos. which are of interest here, are briefly considered below.
1----o t- ~. 1 t M 'lOOHz log(r ) 1 \0 100 Hz a~~ 1 '·. ~ loglr) loglr) loglr) Figure l. Demonstration of different types of dynamical behavior of the Duffing equation. The Duffing equation (upper right corner) is a good description of the behavior of a metal beam above two magnets. ox denotes the friction. - x + x 3 describes the attractive forces of the magnets on the beam, whil e cos (l)t is an external driving force. In Ay = 0, therefore the beam settles itself close to one of the magnets.
A flcr second 20. however. only some sparse black points arc visible. indicating that the stgnal has undergone a transllton to a different subspace. HCR We may hypothesize that the main difference between a normal and an epileptic brain is essentially that the operating regime of a given neuronal network of the latter is much closer to a bifurcation point (near to region A2 in Fig. 6) leading to chaos than that of the former. In contrast with the normal case where the operating regime is situated far from such a bifurcation point (region AI in Fig.