Handbook for Sound Engineers

(Wang) #1

1620 Chapter 46


46.3.5.7 Estimate the Critical Distance DC


Critical distance is easy to estimate. A quick method
with adequate accuracy requires a sound level meter and
noise source. Ideally, the noise source should be band
limited, as critical distance is frequency dependent. The
2 kHz octave band is a good place to start when measur-
ing critical distance. Proceed as follows:



  1. Energize the room with pink noise in the desired
    octave band from the sound source being
    measured. The level should be at least 25 dB higher
    than the background noise in the same octave band.

  2. Using the sound level meter, take a reading near the
    loudspeaker (about 1 m) and on-axis. At this
    distance, the direct sound field will dominate the
    measurement.

  3. Move away from the loudspeaker while observing
    the sound level meter. The sound level will fall off
    as you move farther away. If you are in a room
    with a reverberant sound field, at some distance the
    meter reading will quit dropping. You have now
    moved beyond critical distance. Measurements of
    the direct field beyond this point will be a chal-
    lenge for some types of analysis. Move back
    toward the loudspeaker until the meter begins to
    rise again. You are now entering a good region to
    perform acoustic measurements on loudspeakers in
    this environment. The above process provides an
    estimate that is adequate for positioning a measure-
    ment microphone for loudspeaker testing. With a
    mic placement inside of critical distance, the direct
    field is a more dominant feature on the impulse
    response and a time window will be more effective
    in removing room reflections.


At this point it is interesting to wander around the
room with the sound level meter and evaluate the
uniformity of the reverberant field. Rooms that are
reverberant by the classical definition will vary little in
sound level beyond critical distance when energized
with a continuous noise spectrum. Such spaces have
low internal sound absorption relative to their volume.


46.3.5.8 Common Factors to All Measurement Systems


Let’s assume that we wish to measure the impulse
response of a loudspeaker/room combination. While it
would not be practical to measure the response at every
seat, it is good measurement practice to measure at as
many seats as are required to prove the performance of
the system. Once the impulse response is properly
acquired, any number of postprocesses can be per-


formed on the data to extract information from it. Most
modern measurement systems make use of digital sam-
pling in acquiring the response of the system. The fun-
damentals and prerequisites are not unlike the
techniques used to make any digital recording, where
one must be concerned with the level of an event and its
time length. Some setup is required and some funda-
mentals are as follows:


  1. The sampling rate must be fast enough to capture
    the highest frequency component of interest. This
    requires at least two samples of the highest
    frequency component. If one wished to measure to
    20 kHz, the required sample rate would need to be
    at least 40 kHz. Most measurement systems sample
    at 44.1 kHz or 48 kHz, more than sufficient for
    acoustic measurements.

  2. The time length of the measurement must be long
    enough to allow the decaying energy curve to
    flatten out into the room noise floor. Care must be
    taken to not cut off the decaying energy, as this will
    result in artifacts in the data, like a scratch on a
    phonograph record. If the sampling rate is
    44.1 kHz, then 44,100 samples must be collected
    for each second of room decay. A 3-second room
    would therefore require 44.1 × 1000 × 3 or 128,000
    samples. A hand clap test is a good way to estimate
    the decay time of the room and therefore the
    required number of samples to fully capture it. The
    time span of the measurement also determines the
    lowest frequency that can be resolved from the
    measured data, which is approximately the inverse
    of the measurement length. The sampling rate can
    be reduced to increase the sampling time to yield
    better low-frequency information. The trade-off is
    a reduction in the highest frequency that can be
    measured, since the condition outlined in step one
    may have been violated.

  3. The measurement must hav a sufficient signal-to-
    noise ratio to allow the decaying tail to be fully
    observed. This often requires that the measure-
    ment be repeated a number of times and the results
    averaged. Using a dual-channel FFT or MLS, the
    improvement in SNR will be 3 dB for each
    doubling of the number of averages. Ten averages
    is a good place to start, and this number can be
    increased or decreased depending on the environ-
    ment. The level of the test stimulus is also impor-
    tant. Higher levels produce improved SNR, but can
    also stress the loudspeaker.

  4. Perform the test and observe the data. It should fill
    the screen from top left to bottom right and be fully

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