Opens in a new tab

AES E-Library

← Back to search

Convention Paper

An Infinite Impulse Response (IIR) Hilbert Transformer Design Technique for Audio

Authors: Abel, Jonathan S.; Berdahl, Edgar; Harris, Daniel

AES Convention 129 · Paper 8258 · November 2010

Abstract

Hilbert transformers have found many signal processing applications, from single-sideband communication systems to audio effects. IIR implementations are attractive for computational efficiency. In this paper, we present a complete design procedure for an efficient IIR Hilbert transformer filter. We start from a half-band filter design, and show how the poles move as the half-band filter is transformed into summed all-pass filters and then into a Hilbert transformer filter. The design technique is based entirely on pole locations, and creates a numerically robust filter in cascaded first-order allpass form.

Details

Published in
AES Convention 129
AES Convention
129
Paper number
8258
Publication date
November 6, 2010
Session subject
Real-Time Audio Processing
Affiliation
Center for Computer Research in Music and Acoustics (CCRMA), Standford University; Sennheiser Research Laboratory, Palo Alto, CA, USA (See document for exact affiliation information.)
Type
Convention Paper