From: rubaea!lehnert (Hilmar Lehnert)
Subject: Re: What is the resolution of human hearing
Date: Fri, 19 Jul 91 10:48:06 MET DST




Re : What is the resolution of human hearing?

Hi everybody,

Since the  question arised,  I will  try to  give some data on the
human auditory system. These are mainly 'best values' and might be
used as a worst-case considerations for system designers. I posted
part of this stuff some weeks before and I apologize repeating me.

Frequency range      : 16 Hz - 20 kHz
Performance is  not very  well at  the high  and the low frequency
edge. The  roll of at the high end is quite sharp (and for most of
adult people  at a  lower frequency  then 20 kHz). The low edge is
not easy to measure because other sensory modalities get involved.
The highest  sensitivity is around 3 kHz, where it is close to the
physical limit (thermal noise of air).

Frequency resolution : better the 1 Hz at 1 kHz
Depends strongly on the kind of signals used for measurements.

Temporal properties and phase sensitivity :
>From the high frequency edge one can easily determine the required
sampling frequency to maintain all audible information (> 40 kHz).
Presenting two signals with a delay causes quite different effects
depending on  the kind  of signals  and the  delay.  This  can  be
changings in timbre, in the localization and also distinct echos.
The human ear is not very sensitive to monaural phase shifts (same
phase shift  at both ears or one ear switched off completely). But
interaural phase shifts causes effects on the localization and the
ear can sense interaural delays of less the 10 micro seconds (!!).

Dynamic range        : 120 dB
The upper limit is determined at the point where it starts to hurt
and the  lower by  the hearing  threshold. However, there are some
people, that can take some dB's more but exposing yourself to that
levels  will   significantly  lift   your  hearing  threshold  by
permanently damaging  your hearing  and the  overall dynamic range
will decrease.
Due to  so-called masking effects a signal-to-noise ratio of about
85 dB will do for almost every application.

Dynamik resolution   : ca. 1 dB
Sereo amplifiers  with fixed  steps at  the volume control usually
use steps of approx. 3 dB (each step doubles the energy).

Coverage             : full sphere (360x180)

Spatial resolution   :
The human  auditory system  is full  3D, and  so I  use  spherical
coordinates here.
   Azimuth   : better then  1 degree
   Elevation : better then 10 degrees
   Distance  : better then 0.5 m has been reported,
               but still under investigation
These data has been measured with no head movements allowed. It is
possible that  (especially  the  elevation  resolution)  will  get
better if dynamic effects are included.

Special Features     :
 -  Can't be switched off 
 -  Complex pattern recognition for perception of localization
 -  Inverse directional filtering for perception of timbre
 -  Hardware spectrum analyzer (cochlea)
 -  Noise reduction and reverberation suppression by binaural
    processing (cocktail party effect)
 -  Main input channel for communication (speech recognition)
 -  and many many more

Hilmar          (Hilmar Lehnert lehnert@aea.e-technik.uni-bochum.de)

