In this paper, an effective approach is proposed for designing discret
e coefficient 2-D FIR digital filters for sampling structure conversio
n. After obtaining the initial continuous solution, the conventional L
agrange multiplier approach associated with an appropriate tree search
algorithm is used iteratively to optimize the remaining unquantized c
oefficients of the designed filter in the least-squares sense when one
or more of the coefficients take on discrete values, till all of the
filter coefficients are quantized. The method is simple and the perfor
mance is comparable with that of the existing methods.