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LowSensitivity SecondOrder Digital FiltersAnalysis and Design in Terms of Frequency Sensitivity
Akinori NISHIHARA
Publication
IEICE TRANSACTIONS (19761990)
Vol.E67
No.8
pp.433439 Publication Date: 1984/08/25
Online ISSN:
DOI:
Print ISSN: 00000000 Type of Manuscript: PAPER Category: Circuit Theory Keyword:
Full Text: PDF(427.7KB)>>
Summary:
A new procedure to derive lowsensitivity secondorder digital filters is presented. This procedure is simple compared to other existing methods. First, a denominator polynomial of a filter transfer function is characterized in terms of ω_{0} and ω_{b}, which are defined as a center angular frequency and a 3 dB bandwidth of a bandpass filter, respectively. On the other hand, the denominator polynomial is also expressed as a general form including multiplier coefficients and some integer parameters corresponding to existent degrees of freedom. Then the sensitivities of cos ω_{0} and tan with respect to a multiplier coefficient, which are referred to as frequency sensitivities, are calculated. The integer parameters are determined so that the frequency sensitivities are reduced for small ω_{0} and ω_{b}. This procedure yields several forms of transfer functions including those of wellknown lowsensitivity circuits. One of them is new and the corresponding circuit structures are also given. In addition to its low sensitivity, the new filter has a useful feature; ω_{0} and ω_{b} are determined independently by each of two multiplier coefficients.

