Design and multiplierless realization of maximally flat FIR digital Hilbert transformers

Citation
S. Samadi et al., Design and multiplierless realization of maximally flat FIR digital Hilbert transformers, IEEE SIGNAL, 47(7), 1999, pp. 1946-1953
Citations number
18
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON SIGNAL PROCESSING
ISSN journal
1053587X → ACNP
Volume
47
Issue
7
Year of publication
1999
Pages
1946 - 1953
Database
ISI
SICI code
1053-587X(199907)47:7<1946:DAMROM>2.0.ZU;2-L
Abstract
A unified treatment of approximation and realization of type-3 finite impul se response (FIR) linear-phase Hilbert transformers is presented, A simple method based on Bernstein polynomials and half-band filters is proposed to derive the transfer function of the system, and a triangular array realizat ion based on the de Casteljau algorithm is developed from the Bernstein for m of the transfer function. It is shown that the array structure, consistin g of multiplierless identical modules, can be realized hierarchically using complex and real signal processing techniques.