SOO-CHANG PEIShyu, J.-J.J.-J.Shyu2020-06-112020-06-111990https://scholars.lib.ntu.edu.tw/handle/123456789/498913https://www.scopus.com/inward/record.uri?eid=2-s2.0-0025211589&doi=10.1109%2f31.45688&partnerID=40&md5=7d0ee9a83c37acc3bddbaa61979e9629The 1-D eigenfilter approach is extended for designing 2-D FIR filters. By minimizing a quadratic measure of the error in the 2-D frequency band, an eigenvector of an appropriate matrix is computed to get the filter coefficients. This method is not only simple but is also optimal in the least-squares sense. Several numerical design examples of 2-D arbitrary shape filters are used to illustrate the effectiveness of this approach. © 1990 IEEEElectric Filters, Low Pass; Mathematical Techniques--Least Squares Approximations; Optimization; Signal Filtering and Prediction; 2D Fan Filters; 2D FIR Eigenfilters; Circular/Elliptical Low Pass Filter; Electric Filters, Digitaljournal article10.1109/31.456882-s2.0-0025211589