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Digital laguerre filters
Author(s) -
King R. E.,
Paraskevopoulos P. N.
Publication year - 1977
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.4490050108
Subject(s) - laguerre polynomials , finite impulse response , digital filter , fidelity , impulse response , infinite impulse response , algorithm , mathematics , representation (politics) , impulse (physics) , computer science , filter (signal processing) , telecommunications , mathematical analysis , physics , quantum mechanics , politics , political science , law , computer vision
This paper presents the theory and a time domain synthesis procedure for a class of orthogonal digital filters. These filters are derived from discrete Laguerre polynomials and in the case of exact representation possess an infinitely long structure whilst exhibiting an infinite impulse response. In practice the desired impulse response of a filter to be synthesized is truncated in time whilst speed and economic considerations impose a constraint on its length. By the nature of these filters, very few stages usually suffice to yield excellent fidelity in most practical cases. The filters, whose cascaded stages are eminently suited to multiplexing, are inherently stable. A computer‐aided design algorithm using a Fibonacci search algorithm is presented for optimizing the practical case having finite length and span. Two examples illustrate the procedure.