Eight Prime Factors That Determine The Sonic Properties Of Loudspeakers
The individual elements that must work together in order to deliver sonic quality...

January 21, 2014, by Ken DeLoria

live sound international

There are eight prime factors that determine what we hear from a loudspeaker, each governed by a wide – and interactive - range of electrical and mechanical parameters that come into play.

These include the following:

—The materials used to construct cones and diaphragms (paper, aluminum, titanium, carbon fiber, composites, etc).

—Low-frequency and mid-frequency cone geometry.

—The power, linearity, and type of magnetic circuit used in drivers (Alnico, ceramic, neodymium), as well as the voice coil wire (copper, aluminum, round, hexagonal, single layer, double layer, etc.), voice coil former material, acoustical reflections from the spider; the phase plug (in high-frequency drivers), and the concentricity of the voice coil in the magnetic gap.

—Horn material and flare rate.

—Enclosure material and construction quality (rigid is always better than poorly fitted joinery), as well as enclosure volume, bass port area, duct length, and port material (hint: wooden or PVC ports are better than cardboard and soft plastic).

—Composition of interior dampening material.

—Edge diffraction from the enclosure shape; the design of the crossover circuitry.

—Driver protection circuitry (if any).

—And much more!

This list makes it clear that a loudspeaker is the sum of its parts. Less apparent is the complex interrelationship of the many individual elements that must work together synergistically in order for a loudspeaker system to provide outstanding sound quality.

Factor 1: Frequency Response

There are two aspects to frequency response. First is the overall bandwidth of the response range. A wide bandwidth, say 40 Hz – 19 kHz, provides an immediate sensation of “high fidelity.” Conversely a narrow response range such as 200 Hz – 6 kHz will be perceived as “low fidelity,” though within that range the overall performance might be quite good indeed, such as a mid-range device in a 3-way system that was not designed to reproduce the full spectrum.

The second aspect is how even, or uneven, the response may be within the intended range. An even response equates to a flat loudspeaker…which usually is a good thing. When the response is uneven, the loudspeaker is not flat and can’t be relied upon for important judgments such as balancing input channels and setting EQ. While the overall bandwidth is a function of the loudspeaker’s design, an uneven response – if the magnitude is not excessive - can usually be corrected with precision parametric equalization, though this will require the use of a high-resolution spectrum analyzer.

Factor 2: Phase Response
Intimately linked with frequency response, phase response is quickly identifiable by using an FFT (Fast Fourier Transform) analyzer to characterize a loudspeaker. Every deviation in the frequency domain will yield a corresponding deviation in the phase domain.

Though we do not hear variations in phase response as readily as frequency response, such deviations are nonetheless present in virtually all real-world loudspeakers. When the other parameters have been optimized by careful design work, variations in phase response become quite audible.

What is the difference between phase, time smear, and group delay? They are three different terms that describe the same acoustical condition, that of time variations across a loudspeaker’s frequency range at a given point in space.

When drivers are not mechanically arranged so their acoustic centers are perfectly aligned throughout crossover, where they are both providing equal energy, one energy source will lag or lead the other in time. This can be partially corrected by incremental delay, but broadband delay may not solve the problem.

Each driver, as it approaches the extent of its response range, typically exhibits a deviation from a flat phase response all on its own – not just in relationship to the other driver. Fortunately, with modern DSP technology, phase filters and/or all-pass filters can be used to minimize phase versus frequency deviations.

What does “all-pass” mean? An all-pass filter alters time in relation to frequency, rather than altering frequency response like a parametric EQ. It provides delay, but as a function of frequency.

What’s the difference between time delay and phase delay?

While the underlying mechanism is the same, when we speak of time delay, we’re usually referring to long periods of time, such as the differential between a main array and a delay tower.

When we speak of phase, we’re either talking about a 180-degree reversal (more accurately termed polarity), or we’re speaking of the relationship of arrival time in respect to frequency.

There are almost no individual drivers that exhibit uniform phase versus frequency response when measured alone, and deviations are normally much greater when one driver interacts with another driver in a multi-driver system.

Where does group delay fit into all this? When phase response is linear (flat), group delay and phase delay are identical and are the same as time delay. In a non-linear system, group delay is the slope of the phase response at a given frequency. Variations in group delay cause signal distortion (not to be confused with harmonic distortion), just as deviations from linear phase also cause signal distortion.

Factor 3: Harmonic Distortion

This is extremely important because it determines much of what we perceive when we decide that we like one loudspeaker over another. All loudspeakers produce distortion, with most being three decimal points higher than any other device in the signal path – amplifiers included. The question is how much distortion, as well as how it varies as power levels vary, along with the nature of the distortion.

Let’s discuss how harmonic distortion is measured with an FFT. Typically, a low-distortion sine wave is applied to the loudspeaker. The acoustical response is then captured with a measurement grade microphone and viewed on an FFT. Ideally, the driver should produce only the fundamental frequency of the applied sine wave.

However, in the real world, the driver will inevitably produce second, third, fourth (and higher) harmonics that are easily seen on the FFT. The combined magnitude of all the harmonics is the THD, or Total Harmonic Distortion.

But there’s more. To fully understand a driver’s distortion characteristics, one has to change the frequency of the sine wave and look at the harmonics over a large range of frequencies and power levels, a time consuming effort. What you’ll see is that the distortion products of most LF and HF drivers will increase as the frequency is lowered.

You’ll also see an increase as the power level is raised. In a high-grade driver this should be a linear function; i.e., 10 dB greater amplitude of the fundamental equals 10 dB greater amplitude of the harmonics.

At some point, however, as the driver is pushed hard enough, the harmonics will no longer maintain a linear relationship to the fundamental. It’s actually possible to measure a higher level of second or third harmonic distortion than that of the fundamental. In such case the driver is producing more than 100 percent distortion, and the sonic result is truly awful.

Knowing the frequency range and levels in which distortion starts to radically increase will greatly help when deriving low frequency port alignment, as well as determining optimal crossover points.

Factor 4: Non-Harmonic Distortion

This is even worse than the harmonic variety. When quality drivers are operated below their power limit, the distortion they produce is harmonically related to the fundamental. Apply a 100 Hz sine wave to a cone driver and the distortion “product” will consist of a 200 Hz component (second harmonic), a 300 Hz component (third harmonic) a 400 Hz component (fourth harmonic). and so on.

Though distortion is not desirable, harmonic distortion is, at least, related to music. The pure beauty of a fine piano might be compromised, but at least it will still sound like a piano. Not so with non-harmonic distortion.

When a loudspeaker’s distortion products are not related to the harmonic scale, the effect is a radical alteration in tonality. A piano might sound almost nothing like a piano, if the non-harmonic distortion products are high enough. Usually (but not always), non-harmonic distortion is the result of a mechanical problem, not a design issue, and can therefore be fixed.

Incidentally, when we say distortion “products,” we’re referring to the contribution of harmonic and non-harmonic energy that’s the product of a flawed transfer-function of electrical power being inaccurately converted to acoustical power.

We don’t want all of this extra energy coming out of our drivers, but it’s going to be there anyway.

Driver designers minimize distortion by choosing optimal materials, while mix engineers can utilize the system well below its peak output power to keep distortion at very low levels, where it belongs.

Distortion is not just related to output power, but is a function of output power, at least at this time of technological development.

Factor 5: Linearity

This is not as rigorously defined as frequency response. One manufacturer touting “linearity” might mean something quite different from that of another.

I define linearity as the ability of a loudspeaker to maintain its performance characteristics over a range of operating levels. Each time the input power jumps from 100 watts to 1,000 watts, such as during the impact of a snare or kick drum, if the loudspeaker increases its distortion, alters its frequency and phase response, or does not respond with precisely 10 dB greater acoustic output, then it will be exhibiting one, or more, non-linear characteristics.

Conversely, if none of its response parameters alter at all – other than an increase in output level – then the loudspeaker exhibits linearity. 

No loudspeaker is truly linear throughout its full power and frequency range, though some come close. Most cone and compression drivers exhibit significant non-linearity as they approach the upper extent of their power handling, and also in respect to the program material.

A given loudspeaker might be good at accurately reproducing a single 100 Hz sine wave with low distortion, for example, but may “fall apart” when trying to reproduce the complexity of multiple musical tones that all occur together. Therefore, detecting distortion by stimulating the driver with only a single sine wave does not tell the whole story.

Some acoustic analyzers provide multi-tone sources for distortion measurement, as well as frequency sweeps and automatic power level increments. Both are excellent tools for approximating real-world musical passages.

Factor 6: Transient Response

This is the time that it takes a loudspeaker to respond to the input stimulus, and how quickly it stops producing energy after the stimulus ceases. As with the other parameters in this article, the answer will always be a function of the frequency of the stimulus.

Some analyzers can display a 3D waterfall plot, which depicts the variations in the start and stop time versus frequency, as well as magnitude-versus-frequency of the steady-state period in which the loudspeaker has settled after initial acceleration, and before the stimulus has ended.

Obviously, the faster that a given loudspeaker responds, the more accurate it will sound. However, a very fast loudspeaker may not sound as “warm” or desirable as a less accurate one. That’s because we’re schooled by a lifetime of listening to loudspeakers that exhibit a relatively slow transient response, especially in the very low frequencies.

In listening tests, many people prefer a slow subwoofer to a fast one, because it sounds like it’s “filling out” the bottom end. Moreover, most musical instruments do not exhibit uniform transient response. The 9-foot bass strings of a grand piano do not start and stop anywhere near as quickly as the 6-inch strings in the upper register – by several orders of magnitude. Nor does a tympani exhibit the same transient response as a pair of claves.

It’s therefore a common human response to desire a slower transient response in the low end, while preferring a faster transient response in the high frequencies, particularly in respect to naturally occurring acoustical events. This works out well because a heavy 21-inch woofer cone is never going to exhibit the same transient response as a 1-inch soft-dome tweeter.

If you wish to experience music reproduced with extremely low distortion, highly uniform and precise transient response, and near-perfect phase/frequency response, listen to electrostatic headphones, such as the STAX line. With a diaphragm that’s only 3 microns thick (3 microns = 0.000118 of an inch) and weighs almost nothing, electrostatic headphones are a great way to train your hearing skills.

The clarity and evenness of response will probably never be matched by a PA loudspeaker, because it must provide far greater output power in order to be useful. And that brings us to the last two factors.

Factors 7-8: Power Output & Dispersion
These two are closely related, because one is partially the function of the other. High power systems typically exhibit narrow, or at least controlled, dispersion in one or both axes. Examples are line arrays and long-throw horns.

When acoustic energy is concentrated, it increases in intensity, though often at the expense of higher distortion and less response uniformity. Couple this with drivers that are engineered to be powerful rather than uniform and linear, and the sonic quality can suffer. 

Conversely, a smaller loudspeaker might exhibit nearly perfect response in all other categories, but only be capable of providing enough power to function as a nearfield monitor with no dispersion control, a poor candidate for sound reinforcement in large, reverberant spaces.

Power output capability and dispersion play one of the largest roles in how useful a loudspeaker might be – hence the first spec on many contract riders is often system wattage, or SPL at a certain location, usually the front of house console. Although neither will give you a clue as to how the system might actually sound, and whether it’s properly covering the seating plan, it’s still a prevailing demand made by production managers and sound engineers.

Conclusion

What happens when a loudspeaker falls short of achieving reasonable performance in one or more of these factors?

—It may sound cloudy and unclear.

—It may favor one musical register (or even one note) over others.

—It may hurt the ears with excessive distortion.

—It may perform well at low levels but poorly at high levels.

—It may not cover the audience well, especially on the fringes.

—It may cover the audience too well, sending too much energy toward sides, ceilings, and rear walls, causing undue room excitation.

—It may simply not get loud enough to handle the show’s requirements.

—And, it may do much…or even all of the above!


Ken DeLoria is senior technical editor for Live Sound International and ProSoundWeb, has had a diverse career in pro audio over more than 30 years, including being the founder and owner of Apogee Sound.



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Eight Prime Factors That Determine The Sonic Properties Of Loudspeakers
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