AMPLIFIER EFFECTIVE DAMPING FACTOR (EDF)
The acoustic responses comparing no attenuation
response to maximum attenuated response demonstrates no
significant effect of added resistance on the voltage output
of the amplifier across the frequency range the horn
assembly is expected to operate. Here, we measure the
effect directly. A relatively low cost, basic, solid
state amplifier is used as the voltage source. The
output of the amplifier is set to read 208mV (0.2V) under
no-load conditions. After a time to allow the
electronics to stabilize thermally, the voltage across the
amplifier terminals is measured across a range of
frequencies comparing both the voltage with the attenuator
set at maximum attenuation (-12dB) and without the
attenuator active (0dB). At -12dB readings, sufficient
time must also be provided to allow the resistors to reach
thermal equilibrium as evidence by asymptotic drift.
The results of the test, provided below, shows that the
difference between the -12dB and 0dB loads are within the
uncertainty of the measurement technique estimated to be
about +/- 2mV.
Based on our analysis and listening tests, the L-pad design
utilized here is ideal for precise, sound pressure level
adjustments. Finally, we refer the reader to Dr.
Toole's
discussion related to the topic of
damping factor.
ATTENUATOR SCHEMATIC
The step attenuator schematic is shown below (click on
image).
Resistor pairs are designated by (POLE, POSITION) as (R21, R11), (R22,
R12), etc. The desired magnitude of step attenuation in this
design is 1.2dB/step. Rotary switch is Grayhill series 42.
Wiper is represented by connection between POLE 1 and POLE 2.
DESIGN CONCEPT AND COMPONENTS
The step attenuator described was developed to provide
approximately 5 levels of mid-range attenuation, ranging from -12 to
-6dB relative to the output of the driver with no attenuation.
The design consists of (1) 5 position, two
pole, single wafer, break-before-make rotary switch, (10) wire wound, 10W resistors,
(2) 10 position solder terminal strips. Hook-up wire is #16 GA. The switch we've selected for the attenuator
(shown in the thumbnails above) is the extremely durable
Grayhill 42 series sealed rotary switch.
Although this particular design uses 5 levels of attenuation, the
concept can be extended to many more.
LINEARITY MEASUREMENTS
Estimated values for the series and shunt resistor pairs
for the 5 attenuation values were first approximated using the SPICE circuit simulator. Loads for both the intended network and
selected horn assembly were developed,
resistor pairs examined iteratively and predicted volume velocities
obtained. A prototype was then built and the actual magnitudes of attenuation
measured and accessed against the predictions. The SPICE model
was then calibrated to provide accurate predictive capability.
The linearity of attenuation across the pass-band
was easily accessed by direct super-position of the attenuated
frequency response of the driver to the response of the driver with no
attenuation. For example, the graph below shows three plots. The
PURPLE plot is the
frequency response of the horn assembly connected directly to
analyzer amplifier with no network and no attenuator, the GREEN plot
is the response of the horn assembly with the attenuator operating
and set to the -12dB
attenuation position. The BLUE plot is the -12dB response
simply shifted to
coincide with the PURPLE no attenuation response. As shown in the plot,
a comparison between the attenuated and no attenuation responses
demonstrates that the output linearity of the L-pad response is
essentially identical to the response with no attenuation.
The next graph below also shows three response plots. The RED plot is the
frequency response of the horn assembly connected directly to
a 4th order band-pass filter and with no attenuation, the GREEN plot
is the response of the horn assembly with the rotary switch set to the -12dB
attenuation position. The BLUE plot is the -12dB response plot shifted to
coincide with the no attenuation response. As shown in the plot,
the linearity of the attenuated response is within about 2dB of the
no attenuation response.