An analytical method for the frequency-domain least square design of centro-symmetric 2-D FIR filters

The authors develop an analytical technique for the design of centrosymmetric two-dimensional FIR (finite impulse response) filters by formulating a frequency-domain least-square approximation problem. A study of some of the properties of the matrices involved in this design problem leads to an optimal analytical solution for the filter co-efficients. This solution permits fast calculation of the coefficients directly from the given frequency-response specifications without requiring either optimization procedures or matrix inversion operations. It is shown through design examples that the design time and computational complexity using the proposed technique are significantly lower than those for the usual optimization techniques.<>