Abstract: This paper proposes an analytical design procedure for a particular class of 2D filters, namelyGaussian-shaped, circularly-symmetric FIR filters. We approach both low-pass and band-pass circular filters,which are adjustable in selectivity and peak frequency. The design starts from a given 1D Gaussian prototypefilter, approximated using the Chebyshev series. A frequency transformation is applied to derive the circularfilter. Several design examples are provided for both types of filters. The filters designed through this methodare efficient, their frequency response results in a factored or nested form, convenient for implementation.
Radu Matei, "Gaussian Circular 2D FIR Filters Designed Using Analytical Approach," WSEAS Transactions on Signal Processing, vol. 16, pp. 118-126, 2020, DOI:10.37394/232014.2020.16.14
Radu Matei. Gaussian Circular 2D FIR Filters Designed Using Analytical Approach.
WSEAS Transactions on Signal Processing. 2020;16:118-126. 10.37394/232014.2020.16.14