Sensitivity analysis of a novel digital filter structure

In this paper, a novel structure is derived for digital filter which is robust against the FWL errors. This structure, denoted as S_IMP, is actually an improved version of the one reported in the work of Li et al. (2000) in terms of implementation efficiency and reducing quantization errors. The expression of transfer function sensitivity measure is derived for each structure. Two numerical examples are presented in order to demonstrate the performance of the proposed structure comparing with the transposed direct-form II structure S_DFIIt, the structure S_LGS, and two well known state-space realizations S_ORTH, S_OPT. It is shown that S_IMP is lower sensitivity than S_LGS and much simpler than S_ORTH and S_OPT structure.