A linear filter applies a
linear operator to a time-varying input signal. Linear filters are very common in
electronics and
digital signal processing (see the article on
electronic filters), but they can also be found in
mechanical engineering and other technologies. They are often used to eliminate unwanted
frequencies from an input
signal or to select a desired frequency among many others. There are a wide range of types of filter and filter technologies, of which this article will present an overview. Regardless of whether they are electronic, electrical, or mechanical, or what frequency ranges or timescales they work on, the mathematical theory of linear filters is universal.
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