Convention Paper
Variable-Octave Complex Smoothing
AES Convention 123 · Paper 7264 · October 2007
Abstract
In this paper we present a technique for processing room responses
using a variable-octave complex-domain (viz., time-domain)
smoother. Traditional techniques for room response processing, for
equalization and other applications such as auralization, have
focussed on a constant-octave (e.g., 1/3 octave) and with
magnitude domain smoothing of these room responses. However,
recent research has shown that room responses need to be processed
with a {\em high resolution especially in the low-frequency
region} to characterize the discrete room modal structure as these
are distinctly audible. Coupled this with the need for reducing
the computational requirements associated with filters obtained
from undesirable {\em over-fitting the high-frequency part} of the
room response with such a high-Q complex-domain smoother, and
knowledge of the fact that the auditory filters have wider
bandwidth (viz., lower resolution) in the high-frequency part of
the human hearing, the present paper proposes a variable-octave
complex-domain smoothing. Thus this paper incorporates,
simultaneously, the high low-frequency resolution requirement as
well as the requirement of relatively lower-resolution fitting of
the room response in the high-frequency part through a
perceptually motivated approach.
