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On a generalization of the wave digital filter concept
Author(s) -
Lawson Stuart S.
Publication year - 1978
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490060203
Subject(s) - generalization , transformation (genetics) , filter (signal processing) , transformation matrix , digital filter , port (circuit theory) , matrix (chemical analysis) , mathematics , linear map , computer science , filter design , algorithm , topology (electrical circuits) , electronic engineering , mathematical analysis , pure mathematics , engineering , physics , combinatorics , biochemistry , chemistry , materials science , kinematics , classical mechanics , composite material , computer vision , gene
The design of digital filter structures imitating the behaviour of classical analogue networks has received considerable interest in the literature. Of particular interest has been the Wave Digital Filter first considered by Fettweis. We examine here a generalization in which the relationships between the voltages, currents and wave variables are considered as a linear transformation on the ABCD matrix of the analogue two‐port network. The linear transformation is examined in some detail and conditions are derived which impose constraints on the elements of the matrices involved in the transformation. Finally a table giving thirteen transformations known to yield realizable digital filter structures is presented.