Error spectrum shaping in linear phase frequency sampling FIR filters

The paper considers the problem of quantization noise in linear phase frequency sampling FIR filters. After the quantization noise analysis, the error spectrum shaping (ESS) technique is applied in a mixed configuration, depending on the specific noise source. The quantization noise created in the front-end of the filter and amplified in the parallel resonators, is effectively reduced by a unique, efficient comb filter ESS realization. The noise sources at the parallel resonators are compensated by low complexity (multiplication-free or one shift only operations) ESS structures. The mixed ESS configuration achieves substantial noise reduction while minimizing the complexity of the error spectrum shaping network, thus making it attractive for practical implementation. The analysis is confirmed by simulations.