caa a22 4500 475789598 CHVBK 20180406123708.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1023/A:1019175519056 doi (NATIONALLICENCE)springer-10.1023/A:1019175519056 Methods for designing efficient parallel‐recursive filter structures for computing discrete transforms [Elektronische Daten] [Richard Kozick, Maurice Aburdene] Analytical and numerical approaches are presented for the design of first‐order and second‐order recursive digital filter banks for computing linear, discrete transforms. This subject has been studied extensively for the case of trigonometric transforms. The focus of this paper is on discrete polynomial transforms, and Clenshaw's recurrence formulae are used to design the second‐order filters. The efficiency of the implementation for a specific transform is dependent upon the characteristics of recurrence relations for the transform basis vectors. Efficient implementations are derived for the discrete cosine transform and the inverse discrete Legendre transform from analytical expressions for basis vector recurrence relations. A numerical procedure is presented to search for the existence and parameters of an efficient implementation when analytical expressions for the basis vector recurrence relations are unknown. Kluwer Academic Publishers, 2000 Kozick Richard Electrical Engineering Department, Bucknell University, 17837, Lewisburg, PA, USA aut Aburdene Maurice Electrical Engineering Department, Bucknell University, 17837, Lewisburg, PA, USA aut Telecommunication Systems Kluwer Academic Publishers 13/1(2000-05-01), 69-80 1018-4864 13:1<69 2000 13 11235 https://doi.org/10.1023/A:1019175519056 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1019175519056 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kozick Richard Electrical Engineering Department, Bucknell University, 17837, Lewisburg, PA, USA aut NATIONALLICENCE 700 1- Aburdene Maurice Electrical Engineering Department, Bucknell University, 17837, Lewisburg, PA, USA aut NATIONALLICENCE 773 0- Telecommunication Systems Kluwer Academic Publishers 13/1(2000-05-01), 69-80 1018-4864 13:1<69 2000 13 11235 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer