Two-dimensional block implementation of symmetric half-plane recursive digital filters
Jaesung Lee · IEEE Transactions on Circuits and Systems · 1988
Two-dimensional (2-D) block implementation of 2-D symmetric half-plane (SHP) recursive filters is considered. A 2-D block-recursive equation is first derived. It is found that all the coefficient matrices associated with the input and previous output blocks are Toeplitz in their submatrices. Therefore, high-speed convolution algorithms can be utilized to perform the associated submatrix-vector multiplications. The block implementation using the fast Fourier transform is compared to the direct implementation as regards computational requirements.>