Design of computationally efficient 2D FIR filters using sampling‐kernel‐based interpolation and frequency transformation
K.J. Kim, J.H. Kim, S.W. Nam · Electronics Letters · 2015
A closed‐form design of a two‐dimensional (2D) finite impulse response (FIR) filter with circular, rectangular, fan or quadrant‐fan shapes in the passband region is presented. The computationally efficient 2D FIR filter can be implemented using frequency transformation and sampling‐kernel‐based interpolation instead of an optimisation algorithm. When compared with the existing method, the proposed method reduces 90% of multiplications for filtering. Several design examples are demonstrated to verify the performance of the proposed design.