Maximally flat half-band diamond-shaped FIR filters using the Bernstein polynomial

Abstract

Two-dimensional (2-D) linear-phase diamond-shaped (DS) FIR digital filters have important image processing applications. They are used in sampling structure conversion, e.g. interlace-to-progressive conversion. Maximally flat (MF) DS filters have attractive time- and frequency-domain properties and are preferred in some applications. In this correspondence MF half-band DS FIR are designed using the two-variable Bernstein polynomial. Formulas for the transfer function and the impulse response are obtained.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>