Classical signal theory

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  • Methodological reductionism is a driving force of scientific thinking. Unlike the more controversial, and philosophically dubious, connotations of the term, methodological reductionism embodies a general principle of intellectual parsimony. It does not establish debatable hierarchies among pedagogically distinct scientific areas, it does not seek to identify equally controversial ultimate constituents of reality. Instead, it attempts the consolidation of a collection of more or less intuitively connected items into a more general item, of which they become refinements or specializations.

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  • Moreover, the concept of \multimedia social networks" can be applied into the ¯eld of signal and image processing. If each pixel/sample is treated as a user, then the whole image/signal can be regarded as a multimedia social network. From such a perspective, we introduce a new paradigm for signal and image processing, and develop generalized and uni¯ed frameworks for classical signal and image prob- lems. In this thesis, we use image denoising and image interpolation as examples to illustrate how to use game theory to re-formulate the classical signal and image processing problems....

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  • Bayesian Estimation Theory: Basic Definitions Bayesian Estimation The Estimate–Maximise Method Cramer–Rao Bound on the Minimum Estimator Variance Design of Mixture Gaussian Models Bayesian Classification Modeling the Space of a Random Process Summary B ayesian estimation is a framework for the formulation of statistical inference problems. In the prediction or estimation of a random process from a related observation signal, the Bayesian philosophy is based on combining the evidence contained in the signal with prior knowledge of the probability distribution of the process.

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  • The fundamental concepts, ideas and methods underlying all vibration phenomena are explained and illustrated in this book. The principles of classical linear vibration theory are brought together with vibration measurement, signal processing and random vibration for application to vibration problems in all areas of engineering. The book pays particular attention to the dynamics of structures, but the methods of analysis presented here apply readily to many other fields.

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