Wave digital filters with minimum multiplier for discrete Hilbert transformer realization

Authors:
S. A. Samad;A. Hussain;D. Isa
Affiliations:
Department of Electrical, Electronic and Systems Engineering, Faculty of Engineering, National University of Malaysia (UKM), UKM Bangi Selangor, Malaysia;Department of Electrical, Electronic and Systems Engineering, Faculty of Engineering, National University of Malaysia (UKM), UKM Bangi Selangor, Malaysia;Faculty of Engineering and Computer Science, University of Nottingham, Jalan Broga, Semenyih, Selangor Darul Ehsan, Malaysia
Venue:
Signal Processing - Special section: Multimodal human-computer interfaces
Year:
2006

Citing 1
Cited 1

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Abstract

This paper describes the design of wave digital filters for discrete Hilbert transformer realization. A method for designing real and complex half-band wave digital filters (WDFs) with a minimum number of multipliers is afforded where the multiplier coefficients for the adaptors are calculated directly from the digital domain transfer functions. This technique uses the equations derived for a class of infinite impulse response (IIR) filter and hence avoids the conventional technique of synthesizing a WDF from an analogue reference filter. The selection of the adaptor configuration is determined from the multiplier coefficient values. A minimum multiplier realization of real half-band WDFs can be obtained to meet the low-pass digital filter magnitude specifications. By applying a transformation equation, a complex half-band WDF suitable for the realization of the discrete Hilbert transformer with a minimum number of multiplier is obtained.