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Design of efficient fir digital differentiators of second and higher degrees by using universal weights
Author(s) -
Kumar Balbir,
Roy S. C. Dutta
Publication year - 1994
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.4490220106
Subject(s) - differentiator , mathematics , order (exchange) , degree (music) , pure mathematics , discrete mathematics , algorithm , computer science , physics , telecommunications , bandwidth (computing) , acoustics , finance , economics
We propose in this paper an efficient design of FIR digital differentiators of degree k, k = 1, 2, 3,…, and their implementation in a novel structure which allows the order to be varied without having to alter the weights used in it. More precisely, we show that by using these ‘universal weights’ in a structure of order N max , the order can be varied from N = 3 to N max while keeping the weights fixed and retaining the optimality of performance. Mathematical formulae have been derived for these ‘universal weights’ for differentiators performing in the low‐ or midband‐frequency ranges.