A matrix-based algorithm for constrained least-squares design of two-dimensional FIR filters with low group delay

Conventional algorithms for constrained least-squares (CLS) designs of two-dimensional (2-D) FIR filters vectorize the filters' impulse response coefficients. Recently, an efficient algorithm exploiting the matrix nature of the impulse response is proposed for the CLS design of quadrantally symmetric 2-D linear-phase FIR filters. This paper extends the matrix-based algorithm to the CLS design of 2-D nonlinear-phase FIR filters with low group delay. A design example is presented to illustrate the effectiveness and efficiency of the proposed algorithm.