Endocrinology Metabolism

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The update stage uses the latest measurement to modify the prediction. This is achieved by using the Bayes theorem, which can be seen as a mechanism for updating knowledge about the current state in the light of extra information provided from new observations. When all the measurements are available, that is, in the case of batch processing, then a smoothing strategy is preferable. The smoothing problem can also be treated within the same framework. For example, a forward- 22 New Developments in Biomedical Engineering backward approach can be adopted, which gives the smoother estimates as corrections of the filter estimates with the use of an additional backward recursion.

Polich, J. (1994). On the relationship between background EEG and the P300 event-related potential, Biological Psychology 37(3): 207–218. , Hegde, A. & Boutros, N. (2003). Phase synchronization of the ongoing EEG and auditory EP generation, Clinical Neurophysiology 114(1): 79–85. Kaipio, J. & Somersalo, E. (2005). Statistical and Computational Inverse Problems, Applied Mathematical Sciences, Springer. Kalman, R. (1960). A new approach to linear filtering and prediction problems, Transactions of the ASME, Journal of Basic Engineering 82: 35–45.

Finally more recent approaches involving both WT and HMMs specifically in electrocardiography and phonocardiography are reviewed. 2. Wavelets and biomedical signals Biomedical applications usually require most sophisticated signal processing techniques than others fields of engineering. The information of interest is often a combination of features that are well localized in space and time. Some examples are spikes and transients in electroencephalograph signals and microcalcifications in mammograms and others more diffuse as texture, small oscillations and bursts.

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