Design of elliptical-support 2D-FIR filters using modified techniques for evaluating mcclellan transformation coefficients

الملخص EN

McClellan transformation is the most powerful technique for designing 2- Dimensional Finite Impulse Filters (2D-FIR) from 1- Dimensional (1D-FIR) optimal digital filters.

Various optimization and analytic techniques have been used before to determine the coefficients of the 1st order McClellan transformation so as to approximate elliptic passband contour of the 2-D filter with some acceptable error or to map the cutoff of a 1-D filter onto an elliptic contour in the 2-D frequency plane. This paper presents two analytic techniques for the design of 2-D FIR elliptic-support digital filters.

In the first novel technique, a deviation function is defined and then forced to be zero.

The resulting unknown coefficients can then be determined by comparing different parameters in the deviation function.

The second technique uses the minimization of the square error as a main procedure to compute the unknown coefficients.

These techniques are verified by giving several design examples and with well established methods that appeared in the literature.