Abstract. The most simple decimation filter is comb filter, which has all coefficients equal to unity. The filter must attenuate aliasing which occur in the bands around the comb zeros, called folding bands. Additionally, it must have flat magnitude characteristic in the passband in order to avoid the deterioration of the decimated signal. However, comb filter has pure attenuation in the folding bands and droop in the passband of interest. The attenuation in the folding bands can be increased by cascading comb filters. Nevertheless, this process increases comb passband droop. We present here a simple method to improve simultaneously comb magnitude characteristic in both: passband and folding bands. The cascade of combs is used to improve the attenuation in the folding bands, and the compensator, cascaded with combs, improve the passband characteristic. Two cases are elaborated depending if the passband of interest is a wideband or narrowband. The comparisons with some methods from the literature confirm the benefit of the proposed method.