Derivation of Constant Dynamic Force Calibration Levels

Method

Given: Reference Equivalent Threshold Force Levels in AS1591.(ISO 389) as dB ref. 1µNewton as applied to typical subject by a bone vibrator. (Column B)
Find: The output level a bone vibrator will produce in our artificial mastoid at these RETFL settings:

• The first step is to convert RETFLs dB Ref.1 micro Newton to Newtons, including the Audiometer dial setting of 40dB which is to be used during the calibration procedure. (Column C, D)
• The sensitivity of the Artificial Mastoid, (from supplied Calibration chart, below) is 132 millivolts per Newton at 1kHz, 24°C. Using this sensitivity figure, find the artificial mastoid output in mV when the required force (Column D) is applied to it. (Column E)
• Convert the mastoid output (mV) to the expected Sound Level Meter reading in dB ref 1µV .  (dBµV )  (Column F)
• Because the mastoid does not have a flat frequency response, we have to adjust the expected dB reading at the other frequencies.  Just add the Mastoid response from the chart, (Column G) to give the final reading (Column H)

Constant Dynamic Force Derivation of Sound Level Meter Calibration Levels Using
ISO 389 / AS1591.1 1995 RETFLs

A
B
C
D
E
F
G
H
Frequency Hz
Reference Equivalent Threshold Force Levels ISO 389 AS1591.1
Threshold Force +40dB in N

Calibrate the audiometer using a level setting of 40dB.  Add this to RETFLs and then Convert from dBµN to Newtons:

Mastoid output in mV using mastoid force sensitivity 132mV/N
SLM Reading.
Threshold Output dB
for specific mastoid,
calibrated
In dBµV
Calibration Chart contour (corrections to
be added to Threshold
output)
SLM reading after Mastoid contour corrections
Table Values
RETFLs dB Ref 1µN
RETFLs + Setting dB Ref 1µN

Alog ((Threshold force
+ 40dB)/20)/1000000

="D" x Force Sensitivity
=20*(LOG10(
"E"x0.001/1µV))
From Cal Chart.
125 Hz
82.5 dBµN
122.5 dBµN
1.333 N
176.02mV
104.9 dBµV
-1.0 dB
103.9 dBµV
250 Hz
67.0 dBµN
107.0 dBµN
0.223 N
29.55 mV
89.4 dBµV
-1.0 dB
88.4 dBµV
500 Hz
58.0 dBµN
98.0 dBµN
0.079 N
10.48 mV
80.4 dBµV
-1.0 dB
79.4 dBµV
750 Hz
48.5 dBµN
88.5 dBµN
0.026 N
3.51 mV
70.9 dBµV
-0.7 dB
70.2 dBµV
1000 Hz
42.5 dBµN
82.5 dBµN
0.013 N
1.76 mV
64.9 dBµV
0.0 dB
64.9 dBµV
1500 Hz
36.5 dBµN
76.5 dBµN
0.006 N
0.882 mV
58.9 dBµV
0.7 dB
59.6 dBµV
2000 Hz
31.0 dBµN
71.0 dBµN
0.003 N
0.46 mV
53.4 dBµV
1.3 dB
54.7 dBµV
4000 Hz
30.0 dBµN
70.0 dBµN
0.003 N
0.41 mV
52.4 dBµV
1.0 dB
53.4 dBµV
4000 Hz
35.5 dBµN
75.5 dBµN
0.005 N
0.79 mV
57.9 dBµV
-2.5 dB
55.4 dBµV
6000 Hz
40.0 dBµN
80.0 dBµN
0.010 N
1.32 mV
62.4 dBµV
-9.0 dB
53.4 dBµV
8000 Hz
40.0 dBµN
80.0 dBµN
0.010 N
1.32 mV
62.4 dBµV
-8.5 dB
53.9 dBµV

EXCEL
Formulae

=("B"+40)

=POWER(10,
"C"/20)/1000000

="D"x132
=20*(LOG10("E"x0.001/ 0.000001
="G"+"F"
Picture: Mastoid calibration certificate Force Sensitivity  132mV/N at 1kHz Picture:  Constant Force frequency response
 
Frequency Response at Constant Dynamic Force

Calibration using constant acceleration follows a similar method, and produces results that are similar, with some discrepancy at higher frequencies.

Updated: July 13, 2006