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Filtering is a way to process an input signal so that the output signal has interesting features enhanced or unwanted features reduced.

Filtering is a way to process an input signal so that the output signal has interesting features enhanced or unwanted features reduced.

Filtering can be linear or non-linear.

Linear filtering satisfies scaling $$ {\cal F}[ \alpha x(t) ] = \alpha {\cal F}[ x(t) ] $$ and superposition $$ {\cal F}[ x(t) + y(t) ] = {\cal F}[ x(t) ] + {\cal F}[ y(t) ]. $$