line array behind the buzz
TRANSCRIPT
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Behind the buzz, there are a lot of factors at work in line arrays. An explanation and
comparison of current models.
At last count, I found at least 19 companies offering line array loudspeaker systems that are more than simple
column designs. Rather than discussing over a dozen different product types, I thought we might approach the
subject by defining the technological terms of line arrays. This way, we get a better grasp of the issues involved
with line array systems and will be able to discern both the similarities of, and unique differences between, the
products being supplied by manufacturers today.
This discussion cant be contained in just a few paragraphs, so we must start with the more basic issues of line
arrays and then follow with more esoteric topics that build on these basics.
A LITTLE HISTORY
Line arrays have been around for over a half of a century as column speakers, and other than those made by
Rudy Bozak here in the US, most were voice-range only. Their application was generally for highly reverberant
spaces, where a narrow vertical dispersion avoided exciting the reverberant field, provided a higher Q
(narrower dispersion pattern) and, as a result, improved intelligibility of the spoken word.
Never losing popularity in Europe as they did in America, its no wonder that L-Acoustics V-DOSC loudspeakers
from France were the first to show the concert sound world that more level and smoother frequency response
can come from fewer drivers in a line array. After everyone realized that for a given listening area, the drivers
have no destructive interference in the horizontal plane and combine mostly inphase in the vertical plane, the
race was on.
CYLINDRICAL WAVEFORM
Basically, a line of sources will create a wavefront of sound pressure that is loosely cylindrical in nature at a
particular range of wavelengths (frequencies). Its idealized shape is actually more like a section of a cake, and
the wavefront surface area, as it expands only in the horizontal plane, doubles in area for every doubling of
distance. This equates to a 3dB SPL loss of level for every doubling of distance.
SPHERICAL WAVEFORM
An idealized point source, imperfectly represented by a loudspeaker or nonlinear cluster of loudspeakers,
radiates in a spherical waveform rather than cylindrical. This wavefront expands to four times the area with
each doubling of distance, which equates to a 6dB SPL loss for every doubling of distance. This is commonly
known as the inverse-square law, and it applies to all point-source radiant energy. Hence the big advantage for
a line array is that for a given number of transducers, the resulting long throw level can be much greater than
for a non-line array, or point-source, loudspeaker system.
INTERFERENCE PATTERN
This is the term applied to the dispersion pattern, or response balloon of a line array. It simply means that
when you stack a bunch of loudspeakers, the vertical dispersion angle decreases because the individual drivers
are outof- phase with each other at positions off-axis in the vertical plane. The taller the stack is, the narrower
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the vertical dispersion will be and the higher the sensitivity will be on-axis. In the horizontal plane, an array of
like drivers will have the same polar pattern as a single driver. Some believe that the horizontal pattern is wider
than for a single driver, but they are mistaken, likely fooled by the fact that the level is louder off to the side
due to the higher sensitivity of multiple drivers. However, the actual polar pattern remains the same as for a
single driver.
ARRAY LENGTH
In addition to the narrowing vertical coverage angles, the array length also determines what wavelengths will
be affected by this narrowing of dispersion. The longer the array, the lower in frequency (longer in wavelength)
the pattern control will occur.
CRITICAL DISTANCE
There is a limit to the 3dB per doubling loss, and its at this point where the array is far enough away to appear
to be more of a point source and its level begins to attenuate according to the inverse-square law at 6dB per
doubling of distance. The transition between these two regions is known as the critical distance for the line
array. The region closer than critical distance, and the region beyond it, is termed as the Fresnel and
Fraunhofer regions, respectively, so named by Christian Heil o f L-Acoustics. Unless youre a true math dweeb,
near-field region and far-field region roll off the tongue a bit easier.
The critical distance for a given line array length varies inversely with wavelength (frequency). This was also
discussed in depth in the last issue. Shorter wavelengths (higher frequencies) have much farther critical
distances than longer wavelengths (lower frequencies). In theory this means, at greater distances, a line array
will maintain more high-frequency content than low. However, air attenuation of the highs will counteract this
characteristic.
ARTICULATED ARRAYS
Articulated is the ten dollar term for curved. This describes the very-popular J-Array shape that most
manufacturers currently offer, save one. To date, the Duran Audio Intellivox system is the only line array that
covers from extreme near-field to far-field seating with a straight-line dead-hang approach. (Talking about
articulated arrays with your clients is what gets your day rate increased and your job title changed from sound
tech to audio engineer.)
SPIRAL ARRAYS
This is also a term for curved arrays of a particular type. Spiral arrays describe a curve that is increasing in the
rotational angle from one end to the other, just as the common J-Array does from top to bottom.
ARITHMETIC SPIRAL ARRAYS
Mark Ureda, consultant to JBL, mathematically determined that spiral arrays that increase their angle of
curvature in even increments perform better. For example, at the top of a line array, the splay between
cabinets is 0 degrees. Going down the array, the element boxes are successively splayed at 1 degree, 2
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degrees, 3 degrees, etc. Or it could go in increments of 2 degrees (i.e.: 2 degrees, 4 degrees, 6 degrees, etc.).
These are arithmetically increasing spiral arrays.
LOBES
Lobes describe all the acoustical energy that emanates from a loudspeaker or group of loudspeakers. The
specified coverage angle of a horn is its main lobe. Spurious lobes are those that emanate out in a non-useful
direction from the source.
STEERING LOBES
Much ado has been made about lobe steering. Visions come to mind of FOH guys moving loudspeaker coverage
around with a joystick. Lobe steering is generally done by incrementally delaying drivers in a line array. This
can only be done when the sources, (the drivers), are about 1/2 wavelength apart for a given frequency, and
only in the direction of the line arrays axis. For typical live sound HF drivers with a 9-inch diameter, this means
that they cannot be positioned close enough together to steer anything above 750 Hz. However, using adaptive
apertures to mimic a long line of smaller sources enables some steering at shorter wavelengths.
SIDE LOBES
Side lobes are artifacts of line arrays. They are called side lobes but actually emanate from the ends of the
array, at the top and bottom, as a typical line array is viewed in use. They are caused by the individual
elements being in-phase at a particular angle and wavelength at some off-axis position from the arrays main
lobe. It is possible to eliminate side lobes, but there are limits and consequences to side-lobe elimination in line
arrays.
GRADIENT SIDE LOBES
This is a synonymous term for s ide lobes. Gradient describes how these lobes occur at particular angles or
grades with respect to the line arrays orientation. Professional progress terminology tip: use gradient side
lobes rather than side lobes in your technospeak. Chicks dig it.
DRIVER SPACING
Another of the fundamental parameters of line arrays is the spacing between individual elements. The accepted
limit is that for good line array behavior, the sources should be no more than 1/2 wavelength apart for a given
frequency. This means that loudspeakers reproducing longer wavelengths can be spaced farther apart without
any deterioration in performance. But since 1/2 wavelength at 15 kHz is just under one-half of an inch, HF
devices can never be close enough. One manufacturer maintains that because of this, line arrays do not really
work at very high frequencies. However, I disagree, because even at very short wavelengths, the 3dB loss per
doubling of distance still holds true, and this is what defines the line array effect. (In my humble opinion.) What
does result from driver spacing of more than 1/2 wavelength is more pronounced gradient side lobing.
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LOGARITHMIC DRIVER SPACING
Durans Intellivox Series line array loudspeakers employ the logarithmic driver spacing technique. This provides
denser driver spacing at short wavelengths and economizes on the number of drivers needed for longer
wavelengths by spacing them in larger and larger logarithmic increments.
ISOPHASIC APERTURES
Isophasic aperture is my current favorite high-tech term. It describes the phase characteristic of the slot that
loads the horn bell of some line array box HF sections. The perfect line array driver, particularly for very short
wavelengths, is a ribbon driver like those used by SLS Loudspeakers. Compression drivers are more rugged and
capable of higher output levels than a ribbon driver, but they do not have a linear phase signal at the mouth of
a horn.
Ideally, the signal at both the top and bottom of the drivers horn mouth would arrive in-phase with the signal
at the center of the horn mouth to mimic the ribbon drivers characteristic. Since the center of the horn is
closer to the drivers diaphragm than the top and bottom, the more central paths to the horn from the driver
must delay the signal to arrive in phase with the longer paths to the top and bottom of the horn. There are two
ways to accomplish this.
The first is to make the path length progressively longer towards the center of the horn via a phase-plug type
of device. This technique was employed in the old JBL slot tweeter super-tweeter and was adapted by Heil in
the V-DOSC system for wavelengths at 1000 Hz and up. Other line array manufacturers have employed similar
devices.
The other method is to use variable density foam, which slows the speed of sound through the more dense
foam medium towards the center of the horn. Electro-Voice and McCauley use this technique to provide an
isophasic horn section in their line array offerings.
Perhaps the most interesting technique for an isophasic device is the patented mid-high frequency aperture by
Adamson. It employs the longer path length method, and utilizes directional vanes to prevent excess vertical
dispersion as well. This approach is used for both the highand mid-frequency sections of their line array
systems. The mid-frequency energy exits via two vertical slots on either side of the high-frequency exit slot.
The paths of the mid-frequencies curve around the HF chamber housing. All slots are isophasic.
With the slots of the MF section on each side of the HF slot, diffractional problems of each slot on the other
could be very problematic. However, Brock Adamson came up with a unique solution: overlapping the crossover
points between the mids and highs. This provides in-phase pressure fronts from the other slots to prevent
diffractional interference in the frequency range where it would be a problem.
FREQUENCY TAPERING
The term tapering is also commonly called shading. They are essentially interchangeable. One of the first
tricks used to take advantage of the line array effect was frequency tapering. My earliest exposure to this
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technique was the Electro-Voice LR-4B column speaker. For low/mids, it used 6-inch by 9-inch cone drivers that
had lowpass filters at successively lower frequencies for speakers placed farther out to the ends of the column.
This resulted in a longer column at longer wavelengths and a shorter column at shorter wavelengths, producing
a similar dispersion pattern and critical distance for all frequencies, which in turns provides a more balanced
frequency response at all listening distances.
AMPLITUDE SHAPING
Another tapering/shading technique is amplitude shading. This is used in many current line array products to
accomplish front fill coverage where the bottom hook of a J-Array covers the extreme near-field listeners. This
technique is simply lowering the volume of the loudspeakers covering the nearfield seating with respect to the
longthrow loudspeakers higher in the array.
DIVERGENCE SHADING
Some line array systems offer more than one choice for vertical dispersion of the individual box elements in the
array. They do this as a solution to cover the near-field and extreme nearfield seating in most venues. EAW has
gone one step further by offering two different models, matching the vertical dispersion and output level so that
the drivers produce equal mouth SPL throughout the array. They avoid any amplitude shading for the drivers
covering the closer listeners by increasing the coverage angle of those box elements. Why is it important to
avoid amplitude shading?
According to David Gunness, EAW director of research and development, whenever two wave fronts with
different pressures are combined, there will be a discontinuity at the juncture of the two. This discontinuity will
be audible as though it were a separate, non-coherent source (delayed loudspeaker). The result is transient
smear and uneven frequency response. Divergence shading provides a wave front whose curvature varies, but
whose pressure magnitude does not. Therefore there is no introduced time smear to the signal.
HORIZONTALLY SYMMETRIC ARRAYS
The majority of available line array systems are horizontally symmetric. Ideally, each band pass is a 1/2
wavelength wide strip that runs the entire length of the array. The advantage is that it avoids horizontal lobbing
at the crossover-frequency band. It also requires symmetric pairs o f inner mid and outer LF drivers flanking the
HF sophistic ribbon.
The drawback to this approach is that for the mid-drivers to be within 1/2 wavelength of each other, they must
be incorporated into the bell of the HF horn. The normal 90-degree angle causes reflections between the MF
drivers and the discontinuous horn walls cause HF problems as well.
EV, Meyer (on their smaller system), and NEXO have opted for an asymmetric design. This approach avoided
the mid-frequencies in the horn bell problem and contends with the horizontal lobbing at crossover problem
inherent in asymmetric designs. Choose your poison.
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CARDIOID AND HYPERCARDIOID LF SECTIONS
Line arrays have great directional control in the vertical axis. Subwoofer systems, by nature of the very long
wavelengths involved, do not have any directional control unless arrayed. Even then, because of the omni-
directional nature of each element in the array, there is no front-to-back directionality. This causes muddiness
on stage and low-frequency feedback problems. Enter cardioid and hypercardioid low-frequency sections.
Cardioid and hypercardioid loudspeaker systems are similar to microphones, just in reverse. In the case of
loudspeakers, two transducers, separated by an exact distance within the enclosure, with delay on the rear
driver, create the directional radiation pattern. The cardioids type has maximum level cancellation straight back
at 180 degrees behind them and the hypercardioid have maximum level cancellation at about 120 degrees off-
axis. As examples, Meyer employs cardioid low-frequency sections while NEXO employs the hypercardioid.
FIR-BASED VS. IIR-BASED DSP FILTERING
IIR (Infinite Impulse Response) filters in a DSP processor act just like analog crossover and equalization filters.
Their amplitude and phase characteristics are in a fixed relationship. So much boost or cut produces an exact
corresponding change to the phase response.
FIR (Finite Impulse Response) filters are able to manipulate phase independently of amplitude and correct for
distance-related cancellations between drivers if each driver is under individual DSP control. Some systems, like
Intellivox, employ separate DSP processing and amplification for each driver in the array. These types of
systems will define the next big step forward in loudspeaker technology.
GET LUCKY?
So, the next time you want to impress the ladies at the local hall, tell em Were gonna hang a
logarithmicspaced, articulated spiral array in a horizontally asymmetric configuration employing frequency
tapering and divergence shading, which wil l include isophasic high-frequency and mid-frequency apertures,
hyper-cardioid low-frequency transducer sections, is controlled by finite-impulse response filtering digital signal
processing, and works well with a psychoacoustic infector. You might just get lucky
Live Sound Technical Editor John Murray is a 26-year industry veteran working for EV, Midas, MediaMatrix and
TOA. John has presented two AES papers, chaired three Syn-Aud-Con workshops and is a member of the TEF
Advisory Committee and ICIA adjunct faculty. If you have a question youd like to ask John, e-mail him at
mailto:[email protected]:[email protected]