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How Amplifiers Distribute Their Power to Multiple Car Audio Speakers

Speaker Power

The concept of how car audio amplifiers distribute power to multiple speakers connected to the same channel seems simple. A little math with Ohm’s law and looking at the amplifier’s specifications should tell the tale, right? Yes and no. Things get more complicated when crossovers are involved. Don’t fret; we’re here to make everything easy to understand. Let’s dive in!

What Determines How Much Power an Amplifier Produces?

The first thing we need to understand is how amplifiers produce power. In almost all cases, car audio amplifiers increase the voltage of the incoming signal by a specific amount. The amount of increase in amplitude is called gain. Engineers specify gain in decibels. Depending on the amplifier’s sensitivity control setting, the gain might be as low as 5 or 6 dB for a small amp or 40 dB for something significant.

More gain isn’t better. That can lead to more unwanted noise added to the signal. Every source unit and amplifier combination has an ideal gain configuration that produces maximum power with as little noise as possible. More commonly, the correct gain setting ensures that the speakers connected to the amp blend smoothly with the rest of the system.

As mentioned, amplifiers increase voltage. Feeding a 1-volt signal from your radio into an amplifier might increase that by 10 dB to 10 volts. That voltage goes to the speaker connected to the amplifier. If the speaker has a nominal impedance of 4 ohms, you can use Ohm’s law to calculate how much current will flow through the speaker. We can calculate current by dividing the output voltage by the load (speaker) resistance. In this configuration, 10 divided by four is 2.5 amps.

You can also calculate how much power the speaker gets. To calculate power with voltage and resistance values, square the voltage and then divide that by the resistance. In this example, 10 squared is 100. One hundred divided by four is 25. So, 10 volts applied to a 4-ohm speaker results in the speaker getting 25 watts of power. Another option is to multiply current by voltage to calculate power. In this example, we have 10 volts and 2.5 amps of current, which equals 25 watts.

Speaker Power

With a lower impedance speaker, as you might find with a subwoofer configuration, the amplifier’s power production increases because more current flows through the voice coil. Interestingly, this happens without any adjustment in gain settings. Let’s run the same math with a 2-ohm speaker. The speaker will have 5 amps of current flowing through it (10 volts divided by 2 ohms) and will get 50 watts of power (10 squared divided by two).

We can change the impedance an amplifier sees in several ways. A single 4-ohm speaker will, of course, present a 4-ohm load. Two 4-ohm speakers wired in parallel present a 2-ohm load. Read this if you need a reminder about parallel wiring. You could wire two 2-ohm speakers in series to get a 4-ohm load. You could wire four 1-ohm speakers in series to get 4 ohms. There are some performance-related drawbacks to wiring speakers in series. Primarily, the inductance values add and can dramatically affect midrange performance. It’s best to avoid series wiring when possible.

Speaker Power
Subwoofers like the Punch P3S are available with dual voice coil windings to provide your installer with different wiring options.

How Passive Crossovers Affect Amplifier Power Production

So far, this has all been relatively simple. However, we’ve assumed that our speakers act as a fixed-value load of 4 or 2 ohms. The reality is that they aren’t. Because audio signals are alternating current waveforms, and our speakers have characteristics like resonance and inductance, the impedance the amplifier sees varies with frequency.

Impedance is the term used to describe the opposite of current flow in a circuit with alternating current. It’s similar in concept to resistance but much more complicated to calculate and manipulate, as phase is also an issue.

The graph below shows the impedance of a 6.5-inch component speaker set with different settings on the passive crossover network.

Speaker Power
Rockford Fosgate T3652S component speaker set impedance with different passive crossover settings.

The first thing to notice from the graph above is the spike at just over 60 Hz. This spike represents the resonant frequency of the woofer in the speaker system. The impedance at the resonance peak is close to 16 ohms. The amplifier produces much less power at this frequency, but the speaker becomes more efficient. Resonance implies that a small amount of energy produces significantly more output. If the speaker is well-designed, which is the case with the Rockford Fosgate T3652S woofer, the frequency response around the resonant frequency will match that of the higher frequencies.

The other bump in the impedance graph is around the crossover point between the tweeter and woofer. This impedance rise likely results from underlapping the woofer and tweeter crossover points. Ultimately, the system measures well in this area. This impedance bump is of no concern so long as the amplifier you have chosen has excellent output voltage stability in terms of load impedance.

Speaker Power
The T3652S speakers have smooth frequency response around the woofer’s resonant frequency and through the crossover point.

Passive Crossovers and Amplifier Power Production

Now, it’s time to introduce alternating current signals and passive crossovers.

The purpose of crossovers is to limit the frequency range where a speaker plays sound. A low-pass crossover allows a speaker to play up to a chosen frequency. To remember how they work, keep this in mind: A low-pass filter passes audio frequencies lower than the crossover point. Above that frequency, the speaker produces less sound as you move farther from the crossover point. We use low-pass crossovers on subwoofers as we don’t want them playing midbass or midrange frequencies. A low-pass crossover on a midrange driver attenuates output where the tweeter takes over.

The other type of crossover is called a high-pass. This type of filter blocks low-frequency sounds. We use high-pass crossovers on midrange drivers and tweeters. An infrasonic filter, often mistakenly called a subsonic filter, is also a high-pass filter. These filters work the same way in attenuating output as you move away from the crossover point. Here’s how to remember how high-pass filters work: A high-pass filter passes audio frequencies higher than the crossover point.

In both cases, crossovers are not a brick wall. They don’t stop all information above or below the crossover frequency. The rate at which the sound gets quieter is called the crossover slope. For this article, we’ll talk about simple first-order -6 dB/octave passive crossovers. In real-world applications, these filters aren’t steep enough (don’t attenuate fast enough) to provide adequate filtering. Nevertheless, they are perfect for explaining power distribution when we connect multiple speakers to an amplifier.

Speaker Power
An example of how high-pass (white) and low-pass (gray) crossovers affect frequency response.

The response graph above is a screenshot from the ARC Audio ARC DNA DSP software suite’s Graph option. These high- and low-pass crossovers are set to 500 Hz to make them easy to see.

How Passive Crossover Components Reduce Speaker Output

To add crossovers to speakers, a technician will wire a non-polarized electrolytic or a mylar foil capacitor in series to create a high-pass filter. An inductor in series with a speaker creates a low-pass filter. It doesn’t matter if the capacitors or inductors are on the positive or negative lead to the speaker.

We aren’t going to go into the math of how capacitors and inductors act as crossovers in this article. We covered capacitors here and inductors here. Consider these articles prerequisites if you want a detailed understanding of how these devices function. In short, the caps and coils increase their impedance at and beyond the crossover point.

The graph below shows the impedance of a 4-ohm speaker wired in series with a capacitor and a second speaker wired in series with an inductor.

Speaker Power
The impedance of two 4-ohm speakers wired in series with a capacitor (orange) and an inductor (blue).

We chose the values for the capacitor and inductor in the graph so that the crossover point is at 500 Hz. At this frequency, the impedance of the passive filters is the same as the speaker impedance or 4 ohms. The result is that the amplifier “sees” an impedance of 8 ohms and produces half as much power as it would without the capacitor in the circuit.

Speaker Power
A graph of how much power the amplifier produces based on the load impedance.

This second graph shows the power the amplifier produces for each speaker network based on the load impedance. You can see that the amplifier delivers 12.5 watts into both at the crossover point of 500 Hz. If we sum the power into each speaker, the amplifier still produces 25 watts.

A properly designed passive crossover network performs two tasks: Primarily, it serves as an acoustic filter between two speakers. The most common application in car audio systems is attenuating the output of a midrange speaker or woofer where a tweeter starts playing. The same network would include a high-pass filter so the tweeter wouldn’t play low-frequency information. The second task is to prevent an amplifier from seeing the impedance of two speakers at once. Some companies don’t execute this second criterion well, resulting in upset amplifiers and difficulty with system design.

Speaker Power
Rockford Fosgate component speaker sets include well-engineered, adjustable passive crossover networks.

Amplifier Power Distribution Takeaways

The inspiration for this article on speaker power distribution stemmed from a discussion about how much power an amplifier produces when driving a midrange speaker and a tweeter. Many people mistakenly thought that since the woofer and the tweeter have a nominal impedance of 4 ohms, the amp would see them as a 2-ohm load. Without crossovers, this assumption would be correct. However, the tweeter wouldn’t last long without a crossover to protect it from being over-powered and over-driven.

If you aren’t sure how power will be distributed among the many speakers connected to your car audio system, drop by a local speciality mobile enhancement retailer. They can help design, install, configure and calibrate a sound system you’ll enjoy!

This article is written and produced by the team at www.BestCarAudio.com. Reproduction or use of any kind is prohibited without the express written permission of 1sixty8 media.

Filed Under: ARTICLES, Car Audio, RESOURCE LIBRARY

The Art & Science of Custom Subwoofer Enclosures in Cars

Custom Subwoofer Enclosure

What is a custom car audio subwoofer enclosure? Does it need to be wrapped in leather or vinyl? Should it be made with fiberglass? Does it need acrylic windows? Is LED lighting a necessity? The short answer is no to all of these questions. Let’s delve into what makes a subwoofer enclosure custom and why it’s the best way to upgrade the bass in your car audio system.

Subwoofer Enclosure Volume Matters

How large does a subwoofer enclosure need to be? The answer to that depends on the subwoofers you want to use. Thinking that way puts the cart before the horse, though. The best way to design a subwoofer system is to tell the product specialist you’re working with how much space you’re willing to allocate to the enclosure. They can take a series of measurements, do some calculations and suggest a subwoofer or subwoofers to deliver the best performance based on the available air volume. No matter what the manufacturers tell you, cramming large subwoofers into small enclosures results in poor performance. You’ll get more deep bass from a single driver in an optimized enclosure than a bunch of larger drivers crammed into an undersized design.

Part of designating the space available for your subwoofer enclosure should include considerations about accessing storage or a spare tire. The last thing you want is to be stranded on the side of the road because part of your stereo has trapped a spare or blocked access to the vehicle battery. Before you tell the shop how much space they can use, look under the trunk floor to determine what you might need to get to. Make some notes so you can share that information with the shop.

Space Optimization Is Key

The number one factor that defines a custom subwoofer enclosure is that it optimizes the available space in the vehicle. Let’s say you want a vented enclosure with two 10-inch subwoofers. Most 10-inch subwoofers on the market work very well in about 1 cubic foot of air space. So, this enclosure would need a net volume of 2 cubic feet plus the displacement of the drivers and the vent. Let’s use a pair of ARC Audio X2 10D2V2 10-inch subwoofers for this simulation. With 1 cubic foot each, plus a 4-inch diameter round vent, the enclosure needs a net internal air volume of about 2.15 cubic feet.

The person designing the enclosure for these subwoofers should optimize it so that it intrudes into the cargo area of the trunk as little as possible. Therefore, it should use the full width and all the available height to make it as shallow as possible. If we have 40 inches of width and 15 inches of height, the enclosure would need to be 8.625 inches in depth. These measurements assume the enclosure is a rectangle with no angled rear panel. If we wanted the rear panel to have a 20-degree angle, the depth at the top would shrink to about 6 inches. That gives us two more inches of usable cargo space.

Custom Subwoofer Enclosure
A subwoofer enclosure with an angled rear panel helps optimize the available cargo space in your vehicle.

Both designs are custom enclosures if finished in a durable carpet that matches the cargo area. That’s it. Nothing fancy or exotic is required to make this a custom solution. The customization aspect is that the enclosure is optimized for your vehicle and uses the available space efficiently.

By contrast, if the shop has a pre-built enclosure that’s 34 inches wide and 13 inches tall, it would need to be 11.375 inches deep. Would it work? Yes. Would it sound the same? Yes. Might it save you money versus having an enclosure built specifically for your application? Maybe. Will you have the most space to fit your groceries, sports equipment, luggage or beer? No, not at all.

Here are a few examples of custom enclosures designed to deliver great bass while taking up as little space as possible.

Custom Subwoofer Enclosure
Titan Motoring in Nashville, Tennessee, built this low-profile down-firing enclosure for a client’s Jeep Wrangler.
Custom Subwoofer Enclosure
Mobile Edge in Lehighton, Pennsylvania, created this compact subwoofer enclosure for under the seat of a client’s Ford F-150 pickup truck.
Custom Subwoofer Enclosure
Sound Depot and Performance in Gainesville, Florida, constructed this amazing custom enclosure for a client’s Kia Stinger.

More Custom Subwoofer Enclosure Options

Now, there is a next level of custom subwoofer enclosure beyond a square or slanted-back prism. You might have a significant amount of room inside a spare tire or behind a trim panel in the trunk that can be used for an enclosure. Once again, the choice of drivers for these applications depends on the available space. Just because you can physically fit a 12-inch subwoofer inside a spare tire enclosure doesn’t mean that’s the choice of driver that will produce the most low-frequency output or deliver the tightest bass. A single 10-inch subwoofer might play louder at lower frequencies. An 8-inch subwoofer in a vented design will likely be even louder. Once again, the shop you’re working with should calculate the available volume and suggest a subwoofer based on that information.

Custom Subwoofer Enclosure
Kartele Mobile Electronics in Waterbury, Connecticut, built this spare tire enclosure for a single Sony GS10 subwoofer.
Custom Subwoofer Enclosure
Automotive Entertainment in Huntington Beach, California, created this stealthy enclosure for a Toyota 4Runner.
Custom Subwoofer Enclosure
Simplicity in Sound in Milpitas, California, built a subwoofer enclosure and amp rack to create a false floor in the back of this 2020 Toyota Corolla.
Custom Subwoofer Enclosure
Nano’s Ingenieria en Audio in Guadalupe Victoria, Mexico, created this custom enclosure for a client’s Audi A5 sedan.
Custom Subwoofer Enclosure
iNNovative Concepts in Wilbraham, Massachusetts, created this custom enclosure for a client’s Land Rover Velar.
Custom Subwoofer Enclosure
Extreme Audio, near Richmond, Virginia, built this custom stack-fab enclosure for the back corner of a client’s Ford Bronco.
Custom Subwoofer Enclosure
This simple enclosure was built by JML Audio of St. Louis, Missouri, for a pair of Audison subwoofers in the back of a Ferrari 488 Spider.

Vehicle-Specific Enclosures

Many companies offer off-the-shelf subwoofer enclosures designed for specific vehicles. These enclosures are typically optimized for a specific location in the vehicle and may use a combination of stack-fab or fiberglass construction. With the benefits of mass production, these custom enclosures can make adding an optimized bass solution more affordable than having a shop create a one-off solution. You’ll still need an expert to run all the wiring and configure and calibrate the electronics.

Net Audio in Wichita Falls, Texas, offers this 2019+ Ram 1500 Crew Cab bass reflex subwoofer solution.

Custom Subwoofer Enclosure

Musicar in Portland, Oregon, offers a variety of BMW OE-Look subwoofer upgrades, including this enclosure for F32/F83 coupes with a Morel 10-inch subwoofer.

Custom Subwoofer Enclosure

Audio Designs and Custom Graphics in Jacksonville, Florida, has a complete line of Phantom Fit enclosures, including this one for 2015-22 Mustangs.

Custom Subwoofer Enclosure

MTI Acoustics in College Station, Texas, offers application-specific subwoofer enclosures like this one for Jeep Gladiators.

Custom Subwoofer Enclosure

Upgrade Your Car Stereo with a Subwoofer System Today

As we’ve shown, there doesn’t need to be anything fancy or exotic about a custom subwoofer enclosure. The enclosure needs to be constructed to be specific to your needs. You can certainly go for something flashy if you want. However, we prefer to stick with a simple, well-constructed enclosure and opt for a subwoofer that includes technologies that make it more accurate and linear. No matter your goal, drop by a local specialty mobile enhancement retailer today to find out what they can build to deliver great bass in your car, truck or SUV.

Lead-In Image: Thanks to Perzan Auto Radio in Upper Darby, Pennsylvania, for the photo of this enclosure they constructed for a client’s 2023 Bentley Continental GT Azure. The enclosure features a pair of JL Audio 10W6v3 subwoofers and matching SGR-10W6v2/v3 grilles. The client can still access the space under the trunk floor without moving the enclosure.

This article is written and produced by the team at www.BestCarAudio.com. Reproduction or use of any kind is prohibited without the express written permission of 1sixty8 media.

Filed Under: ARTICLES, Car Audio, RESOURCE LIBRARY

Car Audio Crossover Slopes, Alignments and Summing

Crossover Slopes

Car audio upgrades are much more complex than setting up speakers in your living room. They are, unless all you have in the system is a set of coaxial speakers in your doors. Your installer has to consider crossover slopes and alignments if you have front and rear speakers and a subwoofer. They must also understand how the settings interact at the crossover frequency. Let’s take a nerdy look at crossover slopes and alignments, and how they sum together.

Why Do Speakers Need Crossovers?

We primarily use crossovers on speakers to protect smaller drivers from damage from over-excursion and overpowering. Say your car audio system has a set of 1-inch tweeters in the dash or the doors. Those small drivers can’t produce bass frequencies with any efficiency, and they can only a handle few watts of power. Yes, we know they say 80, 100 or 150 watts on them. But that’s their rating with pink noise referenced to bass frequencies. When you filter out everything below 3,000 Hz, all that’s left of a 100-watt signal is about 0.26 watt for the tweeter. Feeding it a sine wave at 100 watts will destroy it in about a second.

The second reason we use crossovers is to prevent excursion damage. Can you imagine sending 100 watts of deep bass information into a 3.5-inch dash speaker or a PA-style midrange? With only a few millimeters of excursion capability, these small speakers will be pushed well beyond their linear excursion limits, adding significant distortion to the output. Think of it like mechanical clipping. It sounds terrible and can damage the suspension and voice coil. High-pass crossovers are the ideal solution for preventing the above issues.

Low-pass crossovers are needed to ensure that the output from the speaker system comes from a single source. You would never want a midrange driver playing up to 5 kHz when the tweeter is playing from 3 kHz and up. The goal of the low-pass crossover on a midrange or woofer is to keep the transition from one speaker to the other smooth and transparent.

Crossover Slopes and Output Attenuation

Crossovers don’t stop all sound reproduction above or below a specific frequency. For example, a tweeter still produces audio information at 2 and 2.5 kHz when set up with a 3-kHz high-pass crossover. If you look at the graph below, you’ll see a -6 dB/octave high-pass crossover set at 3 kHz.

Crossover Slopes
A -6 dB/octave high-pass crossover set at 3 kHz.

If we analyze the information carefully, we can see that the output from this ARC Audio digital signal processor would be at -3 dB at the crossover frequency of 3 kHz. The frequency set in the software can be called the crossover frequency or the knee frequency. Looking farther to the left, the output decreases with frequency. The difference between 3 kHz and 2 kHz is 6 dB. The difference between 2 kHz and 1 kHz is another 6 dB. The rate at which the output gets quieter is called the crossover slope. In this example, it’s -6 dB per octave. This is also known as a first-order crossover.

Digital signal processors have made it easy for installers to set crossovers quickly and accurately. Entering a value into software is much more precise than turning a knob on an amplifier. Those knobs are connected to potentiometers (adjustable resistors) that are notoriously inconsistent. Some companies used resistor networks instead of potentiometers on their electronic crossovers, like AudioControl’s infamous 24XS.

Crossover Slopes
An example of four different active 3 kHz crossover slopes.

The image above shows our original first-order, -6 dB/octave high-pass filter in white. The gray trace is a -12 dB/octave second-order filter. The green trace is a third-order, -18 dB/octave filter. Finally, the violet trace is a fourth-order, -24 dB/octave high-pass filter.

The benefit of steeper filters is improved signal attenuation at lower frequencies. The first-order filter was down 10 dB at 1 kHz. This amplitude means the speaker would get 1/10 as much power as it does through the pass band (frequencies above the crossover point). The second-order filter results in the signal at 1 kHz being -19.2 dB down. That’s close to 1/100 the power at 1 kHz compared to above 3 kHz. The third-order filter is down 28.7 dB, and the fourth-order is -38.2.

A second benefit of steeper filters is that the range of frequencies where the output comes from both drivers simultaneously is much smaller.

Crossover Alignments

So far, we’ve been looking at a crossover with a Butterworth response. Originally, crossovers were constructed using capacitors, inductors and resistors. Balancing the attenuation rate while delivering flat performance through the pass band (the range of frequencies you want to hear) was tricky with off-the-shelf passive components, even in electronic circuits. Butterworth filters offer moderate roll-off rates but deliver smooth response through the pass-band. They also have an output level of -3 dB at the crossover frequency. This level at the crossover frequency is a crucial consideration that we’ll circle back to later.

Another commonly available crossover type is called a Bessel alignment. Bessel filters offered the best group delay, whereas the Butterworth had the smoothest pass-band response characteristics. These are also popular in audio systems. We’ll get into a deep discussion of group-delay another time. For now, think of it like “timing issues.” Bessel filters are very similar to Butterworth in that they have a -3 dB level at the crossover frequency. Bessel filters are only available in even-order alignments, so second-order -12 dB/octave or fourth-order -24 dB/octave in most systems.

The last filter we’ll talk about is called the Linkwitz-Riley. This is another filter option that’s only available in even-order alignments. Technicians designing electronic circuits can create a Linkwitz-Riley (LR) filter by combining two Butterworth filters. So, a second-order LR (LR2) is two first-order Butterworth filters added together in series. An LR4 is two second-order Butterworth filters. The key benefit of the Linkwitz-Riley filter is that the output is at -6 dB at the crossover frequency.

Crossover Slopes
An example of three second-order, high-pass crossover alignments.

The image above shows a Butterworth alignment in white, a Linkwitz-Riley alignment in gray and a Bessel alignment in green.

Speakers and Signal Summing

Two identical speakers playing the same signal at the same amplitude, at equal distances from the listener, will produce 6 dB SPL more output than a single speaker.

Producing smooth frequency response through the crossover region is crucial for configuring and calibrating car audio systems. If the crossovers you’ve chosen have a -3 dB level at the knee frequency (the frequency set in the software), then the output of the two speakers sums to produce a bump that’s +3 dB in amplitude. This is a problem. We don’t want bumps in frequency response anywhere in the system. The high- and low-pass signals sum flat if your installer uses a Linkwitz-Riley filter at -6 dB at the crossover point. As a result, the system is much easier to equalize, and there’s a reduced overlap range between the two drivers.

If you look at most car audio amplifiers with built-in crossovers, you’ll find that entry- to mid-level models offer -12 dB/octave Butterworth crossovers. As you move up in the model ranges, you might find they have -18 or -24 dB/octave filters. Very few amplifiers with built-in electronic crossovers offer Linkwitz-Riley alignments.

Crossover Slopes
Rockford Fosgate offers -24 dB/octave crossovers on their Power and Punch Series amplifiers.

Setting Electronic Crossovers

Let’s discuss setting a crossover on an amplifier between a subwoofer and the door speakers. In almost all instances, assuming the door speakers can play loudly and at midbass frequencies, the optimum crossover point is usually 80 Hz. Regarding the crossover slope, you want it to be as steep as possible, up to -24 dB/octave.

If a technician eyeballs the crossover options on an amplifier and tries to set them both to that frequency, we run into several problems. First, the actual crossover frequency is likely quite different than the labels on the amp chassis because of variances in the potentiometer inside the amp.

Next, even if the labels were perfect, unless the electronic crossovers have a Linkwitz-Riley alignment, the system’s output will have a 3 dB bump at the crossover frequency. We must underlap the crossovers when they are Butterworth or Bessel alignments. This makes using a real-time analyzer the only accurate way to set this type of electronic crossover.

Adding a high-quality digital signal processor to the system is a more straightforward and predictable solution. Your installer can select Linkwitz-Riley filter alignments and make precise crossover frequency selections. Of equal importance, they can then use a calibrated microphone to adjust the frequency response of the system to compensate for reflections and resonances in the vehicle. Drop by a local specialty mobile enhancement retailer today to discover the digital signal processors that are available to upgrade your system.

This article is written and produced by the team at www.BestCarAudio.com. Reproduction or use of any kind is prohibited without the express written permission of 1sixty8 media.

Filed Under: ARTICLES, Car Audio, RESOURCE LIBRARY

Car Audio Myth: Larger or More Subwoofers Are Always Louder

More Subwoofers

There’s a common belief that an audio system with more subwoofers will produce more bass. This statement can be 100% true or completely false. Why might it be false? A subwoofer’s output depends heavily on enclosure design. Let’s look at two examples where the output of one subwoofer is more than two.

The Most Bass for Your Dollar

If you spend any time searching the countless car audio groups on Facebook, you’ll see dozens of photos of under-seat subwoofer enclosures for pickup trucks. Many of these enclosures have three or four subwoofers in them. If they are 8-inch subwoofers, this might work well. If they are 10-inch subwoofers, they’re likely somewhat cramped for space.

When we’re talking about subwoofer systems, the size of the enclosure relative to the parameters of the subwoofer itself determines performance. You could have a shop build a cube that measures 12 by 12 by 12 inches and mount a 10-inch subwoofer on all six sides. It would look cool, but it would likely sound terrible!

How much bass a subwoofer produces depends on how far the cone moves forward or rearward for a given amount of power. Professionals use enclosure simulation software like BassBox Pro or Term-Pro to model how a subwoofer will behave in different enclosure designs. These software packages can simulate acoustic suspension (sealed), bass reflex (vented) and various bandpass enclosure designs.

More Subwoofers
Professionals use simulation software like BassBox Pro to make educated decisions about proper subwoofer enclosure designs.

Someone with experience needs to analyze and interpret the information provided by the software simulations to determine whether the design is suitable and safe for the subwoofer with the chosen amplifier. These software packages, on their own, don’t calculate the perfect enclosure for any application. They’re like a spreadsheet: They work with the electromechanical parameters of the subwoofer and the provided enclosure information.

Let’s talk about acoustic suspension enclosures, which are the simplest to understand and predict. When a subwoofer is installed in an acoustic suspension enclosure, the compliance of the air in the enclosure combines with the compliance of the driver’s suspension to form a spring system. Compliance is the reciprocal of stiffness. Or, put another way, a rubber band is more compliant than a pencil. A large amount of air is very compliant, and a small amount of air isn’t when we’re talking about compressing it. More specific to subwoofer enclosure simulations, it’s easier to compress the air in a large enclosure than in a small one.

More Subwoofers
Companies like Atrend offer sealed enclosures in several sizes.

When a subwoofer is installed in a very small enclosure, the resulting system is not very compliant. It will take significant power to move the subwoofer cone at low frequencies. Why does the enclosure size have a more significant effect at low frequencies? For each decrease of one octave, a subwoofer cone has to move twice as far to produce the same output. For example, if a subwoofer moves back and forth 2 millimeters to produce a specific output at 60 Hz, it has to move 4 millimeters to produce that same output at 30 Hz. If the speaker is in an enclosure that limits how easily the cone moves, it will produce less output for a given power input.

Since we aren’t installing subwoofers for midbass, installing any subwoofer or woofer in a small enclosure means limiting how much bass the system produces. This low-frequency limiting is one of the reasons we use enclosures. Without an enclosure, the subwoofer would bottom out when driven with moderate power.

More Subwoofers
A subwoofer would exceed its rated excursion limits at low frequencies without an enclosure.

The graph below shows the predicted frequency response of the ARC Audio X2 10D4v2 subwoofer we reviewed recently in three different enclosures. The red trace represents a sealed enclosure with a net internal air volume of 0.663 cubic foot. The yellow trace shows the predicted response of the subwoofer in an enclosure with only 0.45 cubic foot of space. Finally, the green trace is the response with the subwoofer in an enclosure with 1.0 cubic foot of space.

More Subwoofers
Frequency response simulations of an ARC Audio 10-inch ARC Audio X2 v2 subwoofer in different enclosures.

As you can see, the ARC Audio subwoofer produces more bass from a larger enclosure for a given amount of power. This is true of all subwoofers. When driven with 200 watts of power, the 1.0-cubic-foot enclosure would produce 98.9 dB SPL output (in a free-field measurement) at 30 hertz. The 0.663-cubic-foot enclosure produces 97.6 dB of output at the same frequency. Finally, the 0.45-cubic-foot enclosure produces 95.2 dB of output at 30 Hz.

Let’s look at this data from another perspective. Consider how much more power it would take for the smaller enclosures to play as loudly as the larger designs. We will reference 200 watts of power into the 1.0-cubic-foot enclosure. The 0.663-cubic-foot enclosure would need 272 watts of power at 30 hertz to produce the same output. The 0.45-cubic-foot enclosure needs a whopping 469 watts to match the 30-hertz output of the large enclosure. Think about how much hotter the sub would get and how much harder the amplifier and vehicle alternator would have to work to produce the same output.

More Subwoofers

 

What if we look at this from the opposite perspective? If we provide the ARC Audio subwoofer with 200 watts of power in the small 0.45-cubic-foot enclosure and it produces 95.2 dB of output, how much less energy would be needed to match that output from the larger enclosures? The answer is that the 0.663-cubic-foot enclosure is just as loud with only 148.4 watts of power, and the 1.0-cubic-foot enclosure would only need 85.5 watts to produce 95.2 dB of output. As you can see, cramming a subwoofer into a small enclosure is counterproductive in terms of efficiency.

More Subwoofers

Are More Subwoofers Always Louder?

Now let’s talk about multiple subwoofers and whether or not they are always louder. Most car audio enthusiasts think adding a second subwoofer increases the output of a system by 6 dB SPL. This statement is true under a specific set of conditions. Let’s say we have a single subwoofer in a 0.663-cubic-foot enclosure, and a 200-watt amplifier powers it. If we want to use two subwoofers, each driver needs 0.663 cubic foot of airspace. We also need an amplifier that can provide a total of 400 watts. If we meet these conditions, the system’s maximum output will increase by 6 dB SPL. If we have double the airspace but only 200 watts to share between the drivers, the output increases by 3 dB SPL.

The graph below shows a single X2 subwoofer in 0.664 cubic foot of space in red and a pair of those subwoofers in 1.326 cubic feet in teal. The total power is 200 watts for each simulation.

More Subwoofers
One ARC Audio subwoofer in 0.664 cubic foot versus two subwoofers in 1.326 cubic feet.

What happens if we ask our installer to cram both subwoofers into a 0.664-cubic-foot enclosure?

More Subwoofers
The violet trace shows the predicted output of two subwoofers sharing the 0.663-cubic-foot enclosure space.

The graph above shows that the subwoofer system produces less bass with two drivers sharing the 0.663-cubic-foot enclosure and 200 watts (total) than with a single driver (in red). Proper subwoofer enclosure design is crucial to maximizing car audio system efficiency. If we doubled the power when adding the second sub, it would be louder, but maybe only by 2 to 2.5 dB.

Ported Subwoofer Enclosure Solutions Add Efficiency

What if you want the most bass output for our investment? What enclosure should you use? The answer depends on how much space you have in the vehicle. Let’s say we have room for two subwoofers in an acoustic suspension enclosure with a net volume of 1.324 cubic feet. This is a large enough enclosure to ensure that the drivers play loudly at low frequencies, right? Sure, but is this the most efficient use of our money? Guess what? No, it isn’t.

If you have the shop you’re working with design and construct a vented enclosure using the 1.324 cubic feet of space and a single subwoofer, the system will produce significantly more bass. Two drivers in an acoustic suspension enclosure with a volume of 1.324 cubic feet, sharing 200 watts, will produce 102.9 dB SPL at 35 hertz. A single driver in a 1.324-cubic-foot bass reflex enclosure would deliver a mind-blowing 107.8 dB of output at the same frequency. That’s 4.9 dB more output. Your sealed enclosure would need 618 watts of power to reach the same output level. Chances are, the subwoofers wouldn’t appreciate receiving that much power.

More Subwoofers
The predicted frequency response of a single ARC Audio X2 v2 10 in a bass reflex enclosure, in violet, versus two drivers in the same airspace sealed, in red.

Does Adding More Subwoofers Make My Car Audio System Play Louder?

So, let’s answer the question, “Does adding more subwoofers make my car audio system play louder?” The answer is yes if your enclosure design has double the air volume every time you double the number of subwoofers. Your system will play 6 dB SPL louder every time you double the number of drivers in this scenario.

Unless the enclosure was grossly oversized, adding more subwoofers to a given volume is unlikely to increase low-frequency output. This is why it’s crucial for the shop you’re dealing with to model the enclosure options so that you get the most bass for your investment. In most cases, especially for an under-seat truck enclosure, a single driver in a bass reflex (vented) enclosure produces significantly more low-frequency energy than two, three or even four drivers in an acoustic suspension design. Drop by a local specialty mobile enhancement retailer today and talk with them about your goals for your subwoofer system upgrade. If they know how to optimize enclosure designs with simulation software, the chances are that you’ll get the best bang for your buck, bass-wise!

This article is written and produced by the team at www.BestCarAudio.com. Reproduction or use of any kind is prohibited without the express written permission of 1sixty8 media.

Filed Under: ARTICLES, Car Audio, RESOURCE LIBRARY

Revisiting Sealed Subwoofer Enclosure Stuffing with SPL Measurements

Sealed Enclosure

A while back, we looked at how adding stuffing to a sealed enclosure affects its performance. It was clear from our measurements that the addition of Dacron lowered the system’s Qtc (Total Q). The original theory was that adding stuffing made the enclosure seem larger and let the driver play louder at low frequencies. Let’s revisit this test and add several acoustic measurements to quantify any changes in efficiency and output.

Results from Our Original Testing

Our original article determined that adding different amounts of stuffing to our 1.358-cubic-foot enclosure lowered the system Qtc. Without stuffing, the Qtc with our audiophile-grade 12-inch subwoofer was 0.9532. That’s a bit high for our liking but offers good efficiency. With 0.25 pound of Dacron added to the enclosure, the Qtc dropped to 0.9148. That’s still on the high side but getting better.

Moving up to a half-pound of stuffing had minimal effect on the driver, and the system stayed roughly the same at 0.919. Cramming another quarter-pound of stuffing into the enclosure made a truly beneficial change. The Qtc was now down at 0.8397. The lower Qtc measurement is better as it results in less resonance and a tighter, more controlled bass perception. In this capacity, stuffing with Dacron does have the same effect as installing the subwoofer in a larger enclosure.

The driver’s resonant frequency in the enclosure barely changed throughout the test. Empty, the system had an F3 of 43.35 hertz. With all the stuffing in place (0.75 pound), the resonant frequency dropped to 41.68 hertz. The difference would be negligible and doesn’t support the claims of stuffed enclosures playing lower.

Sealed Enclosure
The results from our original article on adding stuffing to a sealed subwoofer enclosure.

Round Two of Subwoofer Enclosure Testing

In this test, we’ll use the same enclosure and subwoofer and take several acoustic measurements under strictly controlled conditions. We’ve set the enclosure up in the middle of our lab and placed the Clio Pocket calibrated mic on the floor 50 centimeters in front of the enclosure. This configuration is similar to a typical ground-plane measurement, except the closer proximity to the enclosure will help to reduce the effect the room has on the measurements. A “normal” ground-plane measurement would have the microphone 2 meters from the enclosure. We will continue buying lottery tickets in hopes of financing our own anechoic chamber, but that might take a while!

All measurements are at the same output level. We’ll use 4 volts representing 2 watts of power into the subwoofer’s nominal 4-ohm load. With a drive level any lower than this, the background noise from the HVAC system starts to mess with the very low frequency measurements. Again – anechoic chamber, please!

Sealed Enclosure Stuffing Findings

If you look at the graph below, you’ll see the SPL measurements from the four test conditions. The red trace is the enclosure without any stuffing. The violet trace represents 0.25 pound of stuffing. The black trace represents a half-pound of filling. Finally, the amber trace is 0.75 pound.

As expected, the more stuffing there is, the smaller the bump at the top of the response curve. Why does this happen? Because polyester fiberfill reduces the resonance of the system. With less resonance, the driver returns to rest faster after the signal stops, and less distortion is added to the output.

Sealed Enclosure
Measurements of a sealed subwoofer enclosure with four different amounts of Dacron stuffing.

You’ll notice the difference between no stuffing and the tightly packed enclosure is relatively tiny. Indeed, the maximum difference is a total of 1.4 dB SPL, with the unstuffed enclosure being louder.

I generated a second graph referencing the first three measurements to the fully stuffed measurement. This analysis shows you how much louder the subwoofer is as there is less and less stuffing. While it might be noticeable, the difference is minute.

Sealed Enclosure
Some quick math to show you the difference between enclosure stuffing levels.

Sealed Enclosure Stuffing Summary

Unlike what many “old timers” will tell you, adding a large amount of Dacron (or similar) stuffing doesn’t significantly affect output, especially at lower frequencies. It certainly doesn’t cause the same improvement of the low-frequency production that you’d get from a larger enclosure. One consideration, though: If the crossover point for our subwoofer systems is, or should be, around 80 Hz, then a system with a flatter response will seem to be a bit louder at lower frequencies. With that said, we are talking about less than 1.5 dB SPL, so the whole thing regarding output amplitude is effectively irrelevant.

So, is it worth asking the shop building your sealed subwoofer enclosure to add stuffing? Don’t add anything if you’re a bass head and want the system to play as loudly as possible. If you’re into sound quality and want to reduce distortion around the resonant frequency of the subwoofer system a bit, then go for it. It’s not like the cost of some stuffing is significant.

This article is written and produced by the team at www.BestCarAudio.com. Reproduction or use of any kind is prohibited without the express written permission of 1sixty8 media.

Filed Under: ARTICLES, Car Audio, RESOURCE LIBRARY

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