Time-domain distortion as criterion for design of IIR Hilbert transformers

Author

Molnar, Goran ; Vucic, Mladen

Author_Institution

Fac. of Electr. Eng. & Comput., Zagreb Univ., Croatia

Volume

3

fYear

2005

fDate

2005

Abstract

The ideal Hilbert transformer can be defined as the system with unity magnitude and odd-symmetric impulse response. Based on this definition, the measure for time-domain distortion of transformed signal is defined. The measure is suitable for the design as well as for the comparison of the IIR all-pass Hilbert transformers. These applications are illustrated by examples, which consider the relationship between the transformers designed in the frequency domain and the transformers obtained by minimization of the proposed measure. It is shown that, under certain conditions, the least-squares approximation is suboptimal in the sense of time-domain distortion.

Keywords

IIR filters; all-pass filters; current transformers; distortion; least squares approximations; minimisation; network synthesis; time-varying networks; IIR Hubert transformer; all-pass transformer; least-squares approximation; minimization; odd-symmetric impulse response; time-domain distortion; unity magnitude; Design methodology; Distortion measurement; Finite impulse response filter; Frequency domain analysis; Frequency measurement; IIR filters; Signal design; Signal synthesis; Time domain analysis; Transformers;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuit Theory and Design, 2005. Proceedings of the 2005 European Conference on

Print_ISBN

0-7803-9066-0

Type

conf

DOI

10.1109/ECCTD.2005.1523110

Filename

1523110