Open AccessDecimation filters with minimum number of additions per output sample
Author(s) -
Dudarin Aljosa,
Vucic Mladen,
Molnar Goran
Publication year - 2022
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/ell2.12415
Subject(s) - decimation , integrator , filter (signal processing) , mathematics , sampling (signal processing) , cascaded integrator–comb filter , algorithm , computer science , sample (material) , filter design , electronic engineering , prototype filter , engineering , telecommunications , bandwidth (computing) , chemistry , chromatography , computer vision
In multistage decimation filters some stages operate at the low sampling rate, thus reducing the required number of additions per output sample (APOS). State‐of‐the‐art methods for the design of these filters usually consider only two stages. In addition, these methods do not optimize the number of APOS explicitly. This Letter proposes a framework for the design of multistage decimation filters with minimum number of APOS. To accomplish this task, the structures which contain maximum number of stages allowed by specified decimation factor are optimized. As a case study, multistage filters whose stages are cascaded‐integrator‐comb filters are considered. It is illustrated by several examples that the proposed optimum filters ensure smaller number of APOS and higher folding‐band attenuation than those obtained by recent methods for multistage filter design.