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{{main|Filter (signal processing)}}
[[File:2-D filter frequency response and 1-D filter prototype frequency response.gif|thumb|1000px|center|A 2-D filter (left) defined by its 1-D prototype function (right) and a McClellan transformation.]]
Filtering is an important part of any signal processing application. Similar to typical single dimension signal processing applications, there are varying degrees of complexity within filter design for a given system. M-D systems utilize [[digital filters]] in many different applications. The actual implementation of these m-D filters can pose a design problem depending on whether the multidimensional polynomial is factorable.<ref name="dudmer83_2"/> Typically, a [[prototype]] filter is designed in a single dimension and that filter is [[extrapolate]]d to m-D using a [[map (mathematics)|mapping function]].<ref name="dudmer83_2"/> One of the original mapping functions from 1-D to 2-D was the McClellan Transform.<ref name="mer78">Mersereau, R.M.; Mecklenbrauker, W.; [[Thomas F. Quatieri|Quatieri, T., Jr.]], "McClellan transformations for two-dimensional digital filtering-Part I: Design," IEEE Transactions on Circuits and Systems, vol.23, no.7, pp.405-414, Jul 1976.</ref> Both [[Finite impulse response|FIR]] and [[Infinite impulse response|IIR]] filters can be transformed to m-D, depending on the application and the mapping function.
== Applicable Fields ==
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