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Design of Digital Filters Simulating an LCR Filter with Node Equation
Hazaoud AHMED Etsuro HAYAHARA Masaki KOBAYASHI Yoshio ITOH
Publication
IEICE TRANSACTIONS (19761990)
Vol.E68
No.8
pp.535539 Publication Date: 1985/08/25 Online ISSN:
DOI: Print ISSN: 00000000 Type of Manuscript: PAPER Category: Circuit Theory Keyword:
Full Text: PDF>>
Summary:
This paper describes a digital filter realization method by simulating an LCR filter. Having the node equation of an original LCR filter the frequency variable s is transformed into a z one using the bilinear transformation. The resulting network equation can be digitally realized with the same transfer function as the original LCR filter. Using such a method, the circuit either has a large error in the transfer response near zero frequencies or causes oscillations. A technique to avoid this problem by a simple modification of the multiplier coefficients is shown. A fifth order elliptic filter is presented with illustrative comparison to classical cascade structure.

