Design and multiplierless realization of maximally flat FIR digital Hilbert transformers
S. Samadi, Yasuto Igarashi, Hiroshi Iwakura · IEEE Transactions on Signal Processing · 1999
A unified treatment of approximation and realization of type-3 finite impulse 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 realization based on the de Casteljau algorithm is developed from the Bernstein form of the transfer function. It is shown that the array structure, consisting of multiplierless identical modules, can be realized hierarchically using complex and real signal processing techniques.