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Digital Image Processing: Filter Design

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Digital Image Processing allows you to design custom FIR filters, both one and two-dimensional, and to solve even the hardest image filtering problems.

A common method of obtaining 2D filters is to obtain them indirectly by transforming 1D prototypes. The simplest method imposes rectangular symmetry on the resulting 2D filter by taking the outer product of two 1D filters. In order to obtain a circularly symmetric 2D filter from a 1D prototype, the common approach is to use the McClellan transformation also known as the frequency transformation. The resulting filters have good performance as well as circular symmetry. They have been shown to be optimal under a restricted set of conditions. Here we use the McClellan transformation to transform a 1D equiripple filter to a circularly symmetric 2D filter. The prototype filter is lowpass.

*Engineering > Signal Processing
*Wolfram Technology > Application Packages > Wolfram Research Applications > Digital Image Processing

custom FIR filters, image filtering problems, frequency transformation, EquirippleFilter
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FilterDesign.nb (349.9 KB) - Mathematica Notebook