User:Tjhuston225/Multidimensional Signal Processing: Difference between revisions

Revision as of 00:08, 28 October 2014

Revision as of 00:21, 28 October 2014

Line 23:

== Filtering ==

{{main|Filter (signal processing)}}

[[File:2-dD Filterfilter frequency response and 1-dD filter prototype frequency response.bmpgif|thumb|right|500px| A 2-D filter (left) defined by its 1-D prototype function (right) and a mapping function.]]

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|extrapolated]] to m-D using a [[map (mathematics)|mapping function]]<ref name="dudmer83_2"/>. Both [[FIR]] and [[IIR]] filters can be utilized in this manner, depending on the application.