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Signal Processing

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Abstract

Signal processing involves techniques for manipulating a signal in order to minimize the effects of noise, to correct all kinds of unwanted distortions, and to separate out various components of interest. Most signal processing algorithms include the design and realization of filters. A filter can be described as a system that transforms signals. System theory provides the mathematical background for filter design and realization. A filter has an input and an output, with the output signal y(t) being modified with respect to the input signal x(t) (Fig. 6.1). The signal transformation can be carried out through a mathematical process known as convolution or, if filters are involved, as filtering.

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Correspondence to Martin H. Trauth .

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Trauth, M.H. (2015). Signal Processing. In: MATLAB® Recipes for Earth Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46244-7_6

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