Many filters arise from operating locally in a transformed space of functions. In contrast to filters, the transforms themselves are non-local and have global symmetries. For instance, the uncertainty principle in the Fourier transform ensures that the value of a function at a particular point can impact all frequencies.
CITATION STYLE
Robinson, M. (2014). Transforms. In Mathematical Engineering (pp. 133–161). Springer Verlag. https://doi.org/10.1007/978-3-642-36104-3_5
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