Thursday, 24 November 2016

Acoustical Dynamic Range of the System

We described the dynamic range of
the program going into the microphone,
and of the electrical signal
through the console and power amps,
but what of the sound coming out of
the loudspeaker system? If you haven't
already guessed, it also must have the
same dynamic range. If the speakers
aren't capable of this range, then
they're probably going to either distort
(or burn out) on the peaks, be incapable
of responding to the lowest power
levels, or experience some combination
of these problems.
What are the actual sound levels
that must be reproduced? That all
depends on the distance between the
loudspeakers and the audience, and
how loud one wants the sound to be at
the audience. Let's assume that we
don't want to shatter eardrums... we
don't want people in the audience to
feel their ears are one inch from the
lead vocalist's tongue during a maximum
shout. The peak sound level we
might accept as a reasonable facsimile
ofthis excitement is 120 dB SPL. Without
going through the math (we cover
some of that in Part I, Section 5), take
our word for it that these particular
speakers must (cumulatively) generate
130 dB SPL in this particular environment.
Well, we know ifthey generate
130 dB SPL on peaks, they're going to
have to generate 40 dB SPL during the
quietest passages, and will have a
90 dB dynamic range.
From this, we also know that ifthe
sound reaching the audience during
peaks was attenuated by air and
distance by 10 dB from 130 dB SPL to
120 dB SPL, the 40 dB SPL generated
by the speakers during quiet passages
will also be attenuated. When the
40 dB drops to 30 dB, it will be below
the ambient noise level in the audience.
This means that the audience
may not hear the very quietest parts of
the show. This illustrates why some
electronic manipulation of dynamic
range is often called for. In this case,
compression of the loudest peaks would
allow the level to be turned up so the
quiet passages are louder.

Electrical Dynamic Range of the Sound System

What is the dynamic range required
of the sound system for such a concert?
The electrical signal level in the sound
system (given in dBu) is proportional
to the original sound pressure level (in
dB SPL) at the microphone. The actual
electrical levels, of course, will depend
on the sensitivity of the microphones
the g?-in in the preamplifiers, power '
amplifiers, and so forth, but these
values, once established, remain fairly
constant so well assume they are
constant and look at the nominal level
(that is, the level specified and
designed for) in the electronics.
Thus, when the sound levels reach
130 dB SPL at the mic, the maximum
line levels (at the mixing console's
output) may reach +24 dBu
(12.3 volts), and maximum output
levels from each power amplifier may
peak at 250 watts (of course, there may
be dozens of such power amplifiers
each peaking at 250 watts, but let's
keep things simple for now). Similarly,
when the sound level falls to 40 dB
SPL, the minimum line level falls to 66
dBu (388 microvolts) and power
amplifier output level falls to 250
nanowatts (250 billionths of a watt).
When the acoustical program from
the mic is converted to an electrical
signa.l at .the mixing console output,
does It still have the same dynamic
range?

Dynamic Range of a Typical Rock Concert

Well describe a concert with about
the widest dynamic range you're ever
likely to encounter. The sound levels at
the microphones (not in the audience)
may range from 40 dB SPL (the audience,
wind, and traffic noise at the mic
during a very quiet, momentary pause)
to 130 dB SPL (beyond the threshold of
pain... but then, the performer is
shouting into the mic, not into someone's.
ear). What is the dynamic range
of this concert? It is obtained by
subtracting the noise floor from the
peak levels:
Dynamic Range...
= (Peak Level) - (Noise Floor)
= 130 dB SPL - 40 dB SPL
=90dB
The concert has a 90 dB dynamic
range at the microphone.

NOTE: We specified the dynamic
range injust plain "dB," not in "dB
SPL." Remember, dB is a ratio and
~n this case we are simply des~bmg
the relationship of 130 dB SPL
to 40 dB SPL; the difference is
90 dB, but that has nothing at all
to do with a sound level of 90 dB
SPL referenced to 0.0002 dynes per
cm2. Dynami.c range I.S nearly
always specified in dB, and should
never be expressed in dB SPL,
dBm, dBu or any other specifically
referenced dB value.

DyNAMic RANGE

The difference, in decibels, between
the loudest and the quietest portion of
a program is known as its dynamic
range. Sometimes, the quietest portion
of a program will be obscured by
amb~ent noise. In this case, the dynarmc
range is the difference in dB
b
' ,
etween the loudest part of the program
and the noise floor. In other
words, dynamic range defines the
maximum change in audible program
levels.
Dynamic range also applies to sound
systems. Every sound system has an
inherent noise floor, which is the
residual electronic noise in the system.
!he dynamic range of a sound system
IS equal to the difference between the
peak output level of the system and the
electro-acoustic noise floor.