T. Cooklev et al., MAXIMALLY FLAT HALF-BAND DIAMOND-SHAPED FIR FILTERS USING THE BERNSTEIN POLYNOMIAL, IEEE transactions on circuits and systems. 2, Analog and digital signal processing, 40(11), 1993, pp. 749-751
Two-dimensional (2-D) linear-phase diamond-shaped (DS) FIR digital fil
ters have important image processing applications. They are used in sa
mpling structure conversion, e.g. interlace-to-progressive conversion.
Maximally flat (MF) DS filters have attractive time- and frequency-do
main properties and are preferred in some applications. In this corres
pondence MF half-band DS FIR are designed using the two-variable Berns
tein polynomial. Formulas for the transfer function and the impulse re
sponse are obtained.