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Gain‐phase analysis of digital filters with applications
Author(s) -
Haykin Simon S.
Publication year - 1973
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.4490010311
Subject(s) - transfer function , filter (signal processing) , digital filter , computation , phase (matter) , mathematics , control theory (sociology) , set (abstract data type) , computer science , electronic engineering , algorithm , engineering , physics , electrical engineering , artificial intelligence , control (management) , quantum mechanics , computer vision , programming language
The article includes two fundamental sets of relations for minimum phase digital filters; the one set defines the relations between the gain and phase components, and the other set defines the relations between the group delay and gain slope components of the pulse transfer function of the filter. Two applications of these relations are considered: (i) Graphical computation of the phase characteristic of a digital filter with a prescribed gain characteristic. (ii) Computation of the gain characteristic of a linear phase digital filter.