This started as a reply to a question from @TitaniumTroy in another thread about speaker size:
http://www.theaudioannex.com/forum/...the-job-at-hand-size-versus-bass.12784/page-2
The primary function of a crossover is to filter a range of audio frequencies starting at a specific frequency so the only signal which passes to the driver are in the acceptable pass band, or the range where the driver is expected to operate. Crossovers can also act as equalizers and even dynamic filters which apply power filtering at higher voltages to protect the speaker from overload.
So, assuming two speakers are being used together, one for higher frequencies and the other for lower frequencies with a crossover on each to facilitate the filtering of the signal going to each driver, then the issues are as follows:
CHARACTERISTIC DRIVER IMPEDANCE
Drivers don't have linear 8 Ohm or 4 Ohm resistance across the frequency range they operate in. With few exceptions, nearly all drivers have non-linear impedance curves, some ranging from 3.2 Ohms to over 50 Ohms in the operating range. So, tuning the crossover to achieve a perfect slope with a -3dB point at the desired frequency and a roll-off slope beyond that frequency of exactly 12dB (2nd order), 18dB (3rd order), or 24dB (4th order) per octave is darn near impossible. So, some sort of compromise much be made, either more passive components can be added to the crossover to give a more linear impedance load on the crossover filter portion of the circuit, or tuning of the filter components can be experimented with to reduce the negative affects of the varying impedance to a level which gets results which are acceptable.
DYNAMICALLY CHANGING DRIVER IMPEDANCE
Just about all loudspeaker drivers will exhibit varying impedance based on the input voltage. Variations are caused by heat, the position of the voice coil or diaphragm in the magnetic gap, the resistance of the suspension based on how flexed (stretched) it is, pressure in the enclosure, and several other electrical, magnetic, and mechanical causes. Thus, a passive crossover behaves differently with 1 watt of input than it does with 10 watts of input. It also behaves differently after an hour of high voltage utilization than it does when the signal is first applied after a long period of no signal. It can behave differently over time as the driver relaxes with age. It can perform differently if the driver is set horizontally versus vertically. It even acts differently in a very real dynamic way in that high dynamic peaks will have a different signal than the adjacent average voltage levels.
IMPEDANCE VARIATION AND TUNING
The two issues above should appear obvious before I get into this little detail, but check this out - as the impedance shifts away from the ideal for which the crossover was tuned, inductors go out of ideal in one direction while capacitors shift out of ideal in the opposite direction. In simplistic terms, if the crossover is tuned perfectly for a driver with a 6 Ohm load and in use the driver's impedance shift upwards to a 7 Ohm load, the inductor(s) in the crossover are now too small for the target ideal filter and the capacitor(s) in the crossover are now too large for the target ideal filter. So it isn't like a slightly higher impedance simply raises the crossover frequency slightly higher. Instead, a slightly higher impedance screws everything up where the shape of the filter curve shift away from the target in every direction. And, I am referring to amplitude frequency response, but phase response is equally critical (if not more so) and a shift in driver impedance will completely toss out any attempt to achieve an ideal phase response. It is a nightmare scenario.
PASSIVE COMPONENT FAILINGS
Passive crossovers are generally made from capacitors which store energy and release it over time (phase shift and filtering bass), inductors which are magnetic coils which resonate and absorb high frequencies, and resistors which resist current passing through them.
Capacitors have inherent issues with dynamic response, behaving linearly across their operating range and at all appropriate voltages, and can actually resonate and "ring" in the operating range. As such, there are high end capacitors out there which can cost as much as $150 for a mid-frequency application which do, indeed, perform audibly better than lesser capacitors.
Inductors are basically resonating magnetic coils which can saturate at high voltages and create magnetic fields extending way beyond their physical size. These magnetic fields can interact with other inductors' magnetic fields and cause crosstalk between separate sections of a crossover. They can also be large, heavy, and inconsistent in how they perform at different voltages and loads. Like capacitors, you can get high end inductors that cost more than $300 for a size appropriate for a midrange crossover.
Resistors often struggle not to introduce at least a little inductance, but they are often not a real problem unless they get hot enough to
experience a shift in their resistive value due to high voltages passing through them.
PASSIVE CROSSOVERS AND DECOUPLING
We all know the importance of an amplifier's damping factor. Among other things, it reflects an amp's output impedance (lower in better), current capacity, and ability to control the motion of a speaker. The latter performance characteristic is very important with traditional voice coil driven drivers. Since the common cone/dome and coil is basically a suspended diaphragm on a spring-loaded suspension, once it gets excited tends to resonate until it the energy is lost. While resonating, the voice coil generates voltage, known as "Back EMF." That electrical energy will sustain the resonance beyond what the suspension alone would cause if it isn't removed. The easiest way to remove that energy is to shunt it to ground, which an amp with a high damping factor does. In fact, if directly coupled, a high damping factor amp will very precisely control the position of the voice coil in the magnetic gap and absorb resonance created spurious voltages from the speaker to actually prevent some ringing and mechanical limitations and force the cone to move exactly to the voltage. However, a passive crossover decouples the speaker from the amp and the "Back EMF" will then feed the resonate circuit of the crossover and forceful control of the speaker by the amp is vastly reduced. This isolation, in my opinion, is one of the greatest drawbacks of passive crossovers, and it only takes one passive component between the amp and the speaker to start the isolation process. I've witnessed firsthand the way a simple crossover completely changes the waterfall plots of a speaker's performance versus directly coupled speakers. The greater the voltage, the more extreme these resonances will be, especially with woofers, and as such the performance at very low levels will be completely different at high SPLs. Generally, high levels will cause much greater impact of resonances. This is a huge issue.
http://www.theaudioannex.com/forum/...the-job-at-hand-size-versus-bass.12784/page-2
The primary function of a crossover is to filter a range of audio frequencies starting at a specific frequency so the only signal which passes to the driver are in the acceptable pass band, or the range where the driver is expected to operate. Crossovers can also act as equalizers and even dynamic filters which apply power filtering at higher voltages to protect the speaker from overload.
So, assuming two speakers are being used together, one for higher frequencies and the other for lower frequencies with a crossover on each to facilitate the filtering of the signal going to each driver, then the issues are as follows:
CHARACTERISTIC DRIVER IMPEDANCE
Drivers don't have linear 8 Ohm or 4 Ohm resistance across the frequency range they operate in. With few exceptions, nearly all drivers have non-linear impedance curves, some ranging from 3.2 Ohms to over 50 Ohms in the operating range. So, tuning the crossover to achieve a perfect slope with a -3dB point at the desired frequency and a roll-off slope beyond that frequency of exactly 12dB (2nd order), 18dB (3rd order), or 24dB (4th order) per octave is darn near impossible. So, some sort of compromise much be made, either more passive components can be added to the crossover to give a more linear impedance load on the crossover filter portion of the circuit, or tuning of the filter components can be experimented with to reduce the negative affects of the varying impedance to a level which gets results which are acceptable.
DYNAMICALLY CHANGING DRIVER IMPEDANCE
Just about all loudspeaker drivers will exhibit varying impedance based on the input voltage. Variations are caused by heat, the position of the voice coil or diaphragm in the magnetic gap, the resistance of the suspension based on how flexed (stretched) it is, pressure in the enclosure, and several other electrical, magnetic, and mechanical causes. Thus, a passive crossover behaves differently with 1 watt of input than it does with 10 watts of input. It also behaves differently after an hour of high voltage utilization than it does when the signal is first applied after a long period of no signal. It can behave differently over time as the driver relaxes with age. It can perform differently if the driver is set horizontally versus vertically. It even acts differently in a very real dynamic way in that high dynamic peaks will have a different signal than the adjacent average voltage levels.
IMPEDANCE VARIATION AND TUNING
The two issues above should appear obvious before I get into this little detail, but check this out - as the impedance shifts away from the ideal for which the crossover was tuned, inductors go out of ideal in one direction while capacitors shift out of ideal in the opposite direction. In simplistic terms, if the crossover is tuned perfectly for a driver with a 6 Ohm load and in use the driver's impedance shift upwards to a 7 Ohm load, the inductor(s) in the crossover are now too small for the target ideal filter and the capacitor(s) in the crossover are now too large for the target ideal filter. So it isn't like a slightly higher impedance simply raises the crossover frequency slightly higher. Instead, a slightly higher impedance screws everything up where the shape of the filter curve shift away from the target in every direction. And, I am referring to amplitude frequency response, but phase response is equally critical (if not more so) and a shift in driver impedance will completely toss out any attempt to achieve an ideal phase response. It is a nightmare scenario.
PASSIVE COMPONENT FAILINGS
Passive crossovers are generally made from capacitors which store energy and release it over time (phase shift and filtering bass), inductors which are magnetic coils which resonate and absorb high frequencies, and resistors which resist current passing through them.
Capacitors have inherent issues with dynamic response, behaving linearly across their operating range and at all appropriate voltages, and can actually resonate and "ring" in the operating range. As such, there are high end capacitors out there which can cost as much as $150 for a mid-frequency application which do, indeed, perform audibly better than lesser capacitors.
Inductors are basically resonating magnetic coils which can saturate at high voltages and create magnetic fields extending way beyond their physical size. These magnetic fields can interact with other inductors' magnetic fields and cause crosstalk between separate sections of a crossover. They can also be large, heavy, and inconsistent in how they perform at different voltages and loads. Like capacitors, you can get high end inductors that cost more than $300 for a size appropriate for a midrange crossover.
Resistors often struggle not to introduce at least a little inductance, but they are often not a real problem unless they get hot enough to
experience a shift in their resistive value due to high voltages passing through them.
PASSIVE CROSSOVERS AND DECOUPLING
We all know the importance of an amplifier's damping factor. Among other things, it reflects an amp's output impedance (lower in better), current capacity, and ability to control the motion of a speaker. The latter performance characteristic is very important with traditional voice coil driven drivers. Since the common cone/dome and coil is basically a suspended diaphragm on a spring-loaded suspension, once it gets excited tends to resonate until it the energy is lost. While resonating, the voice coil generates voltage, known as "Back EMF." That electrical energy will sustain the resonance beyond what the suspension alone would cause if it isn't removed. The easiest way to remove that energy is to shunt it to ground, which an amp with a high damping factor does. In fact, if directly coupled, a high damping factor amp will very precisely control the position of the voice coil in the magnetic gap and absorb resonance created spurious voltages from the speaker to actually prevent some ringing and mechanical limitations and force the cone to move exactly to the voltage. However, a passive crossover decouples the speaker from the amp and the "Back EMF" will then feed the resonate circuit of the crossover and forceful control of the speaker by the amp is vastly reduced. This isolation, in my opinion, is one of the greatest drawbacks of passive crossovers, and it only takes one passive component between the amp and the speaker to start the isolation process. I've witnessed firsthand the way a simple crossover completely changes the waterfall plots of a speaker's performance versus directly coupled speakers. The greater the voltage, the more extreme these resonances will be, especially with woofers, and as such the performance at very low levels will be completely different at high SPLs. Generally, high levels will cause much greater impact of resonances. This is a huge issue.