In this paper, we present a numerical design method for two-dimensional (2-D) FIR linear-phase (LP) quincunx filter banks (QFB) with equiripple magnitude response and perfect reconstruction (PR). The necessary conditions for the filter length of analysis filters are derived. A dual affine scaling variant (DASV) of Karmarkar's algorithm is employed to minimize the peak ripples of analysis filters and an approximation scheme is introduced to satisfy the PR constraint for the 2-D filter banks (FB). The simulation examples are included to show the effectiveness of this proposed design technique.

In this letter, a numerical design approach for FIR diamond-shaped filter banks (DFB) with perfect reconstruction (PR) and low delay for tree-structured HDTV coding is presented. The system delay of the designed DFB can be controlled below the category of the linear-phase. Moreover, the necessary conditions for the system delay of the designed DFB are derived. The considered problem is formulated as the minimization of the real and imaginary parts of weighted peak ripple errors of the designed analysis filters subject to PR constraints. Simulation example is provided to show the efficacy of this proposed design technique.

In this letter, we present a new numerical design method for 2-D FIR quincunx filter banks (QFB) with low-delay, equiripple magnitude response, and perfect reconstruction (PR). The necessary conditions for the system delay of QFB are derived. The dual affine scaling variant of Karmarkar's algorithm is employed to minimize the peak ripples of analysis filters, and a linearization scheme is introduced to satisfy the PR constraint for QFB. We have included several simulation examples to show the efficacy of this proposed design technique.