This discussion concerns extended frequency range pickups for basses. Some questions are the following. Does it require a low impedance pickup? If not, how can it be done otherwise? Can it be done with a passive system, or is a preamp necessary? How should an extended frequency range pickup be designed?
I have made and compared a couple of pickups, to be considered later, but first here is a review of what causes frequency limitation in a pickup. The pickup circuit and the load it operates into make up a low pass filter. The pickup coil is an inductor, but there is also some capacitance associated with it. The most important element of the external load is the cable capacitance, although the resistance can matter, too, and in some circumstances additional resistance can be added to help shape the response. The effect of the cable capacitance is usually more important than than that of the coil.
An inductor looking into a shunt resistor is a first order low pass filter. When it looks into a capacitance, it is a second order filter and can have a resonance; this means the response can increase with increasing frequency before falling off quickly. However, the second order filter can also be damped with a resistor so that the response does not exhibit a significant peak.
There is a conflict between high output (lots of turns, high inductance) and broad frequency response (must have fewer turns, and has a lower output). This is usually not a problem for an electric guitar, where distortion fills in the higher harmonics, usually by preference. However, certain kinds of bass playing need a clean signal with wide frequency range. How can this be achieved?
The most obvious way is to put a lot fewer turns on the coil and use larger wire, resulting in a so-called low impedance pickup with both low inductance and resistance. Such a pickup requires additional amplification, and is well-suited to connection to a standard low impedance microphone input, especially if it uses a two-sided balanced configuration.
Another way is to put a preamp in the bass. Of course, this removes the cable capacitance from the load, and it is no longer necessary to use such a low impedance since the load on the inductance is a higher impedance, that is, a smaller capacitance. In fact, it is not a good idea to use a very low impedance pickup with a preamp in the bass since preamps designed to have good good signal to noise ratio with a very small voltage require, in general, more current than preamps designed to work with a higher voltage from a higher impedance pickup. High current is bad for battery life.
There is another way that might get good enough frequency response, a compromise between high and low. Reduce the number of turns to put the resonance with a typical cable just above the highest required frequency, and then load the pickup with a resistor (located in the bass) to flatten out the resonant peak.
So to test this idea I have made two pickups, one very low impedence, the other medium as just described. These pickups are the same except for the winding. So, how should such a pickup be designed? First, one should minimize conductors, no steel cores, in order to avoid eddy currents that can affect the frequency response. These pickups are air core except for a 3/16" by 1/32" diskAcomp.mp3Bcomp.mp3 neo under each string embedded in the top of the bobbin near the string. Without a high permeability core, one loses the ability to direct the flux from the vibrating string through the coil. So I use a shallow wider coil, only 3/16" deep and 15/16" wide, in order to match the more spread flux.
The low impedance coil has 250 turns total of #30 wire wound bifilar, 125 turns each side of the center tap; and so it is set up to feed a low imp. mic. input, high gain, low noise. The inductance is 2.8 mH, and the resistance is 10.5 ohms. The medium impedance coil has 2700 turns of #42 an it feeds a standard single ended instrument input. Its inductance is 350 MH and its resistance is 2K. When used with a 630 pf cable, it has a resonance of about 10KHz, and loading it with a resistance in the 16K to 20K range makes the response nearly flat, depending on how you want to set it up. The ratio of the inductances is very nearly the square of the turns ratio as one should expect. The gain of the low impedance coil is flat as high as I can measure (96KHz sampling rate). This is measured using a small coil to excite the pickup coil.
How did I decide on 10 KHz? I measured the spectrum of the bass using the low impedance pickup. It falls at about 30 db per decade above 1KHz, and you can see string harmonics to about 20 KHz. However, the SNR is quite poor out there, and so I am assuming that somewhere between 5 and 10 KHz is good enough response as a practical matter.
I have recorded a little bit of crappy bass playing with each pickup. (This is my old aluminum bass, only one I have.) Can you decide which coil is which?
(By the way, it was necessary to set the pickups to the same distance from the strings with very good precision since the different magnetic field strength at the strings makes a large different on the level of higher string harmonics, due to the magnetic damping.)Acomp.mp3Bcomp.mp3
I have made and compared a couple of pickups, to be considered later, but first here is a review of what causes frequency limitation in a pickup. The pickup circuit and the load it operates into make up a low pass filter. The pickup coil is an inductor, but there is also some capacitance associated with it. The most important element of the external load is the cable capacitance, although the resistance can matter, too, and in some circumstances additional resistance can be added to help shape the response. The effect of the cable capacitance is usually more important than than that of the coil.
An inductor looking into a shunt resistor is a first order low pass filter. When it looks into a capacitance, it is a second order filter and can have a resonance; this means the response can increase with increasing frequency before falling off quickly. However, the second order filter can also be damped with a resistor so that the response does not exhibit a significant peak.
There is a conflict between high output (lots of turns, high inductance) and broad frequency response (must have fewer turns, and has a lower output). This is usually not a problem for an electric guitar, where distortion fills in the higher harmonics, usually by preference. However, certain kinds of bass playing need a clean signal with wide frequency range. How can this be achieved?
The most obvious way is to put a lot fewer turns on the coil and use larger wire, resulting in a so-called low impedance pickup with both low inductance and resistance. Such a pickup requires additional amplification, and is well-suited to connection to a standard low impedance microphone input, especially if it uses a two-sided balanced configuration.
Another way is to put a preamp in the bass. Of course, this removes the cable capacitance from the load, and it is no longer necessary to use such a low impedance since the load on the inductance is a higher impedance, that is, a smaller capacitance. In fact, it is not a good idea to use a very low impedance pickup with a preamp in the bass since preamps designed to have good good signal to noise ratio with a very small voltage require, in general, more current than preamps designed to work with a higher voltage from a higher impedance pickup. High current is bad for battery life.
There is another way that might get good enough frequency response, a compromise between high and low. Reduce the number of turns to put the resonance with a typical cable just above the highest required frequency, and then load the pickup with a resistor (located in the bass) to flatten out the resonant peak.
So to test this idea I have made two pickups, one very low impedence, the other medium as just described. These pickups are the same except for the winding. So, how should such a pickup be designed? First, one should minimize conductors, no steel cores, in order to avoid eddy currents that can affect the frequency response. These pickups are air core except for a 3/16" by 1/32" diskAcomp.mp3Bcomp.mp3 neo under each string embedded in the top of the bobbin near the string. Without a high permeability core, one loses the ability to direct the flux from the vibrating string through the coil. So I use a shallow wider coil, only 3/16" deep and 15/16" wide, in order to match the more spread flux.
The low impedance coil has 250 turns total of #30 wire wound bifilar, 125 turns each side of the center tap; and so it is set up to feed a low imp. mic. input, high gain, low noise. The inductance is 2.8 mH, and the resistance is 10.5 ohms. The medium impedance coil has 2700 turns of #42 an it feeds a standard single ended instrument input. Its inductance is 350 MH and its resistance is 2K. When used with a 630 pf cable, it has a resonance of about 10KHz, and loading it with a resistance in the 16K to 20K range makes the response nearly flat, depending on how you want to set it up. The ratio of the inductances is very nearly the square of the turns ratio as one should expect. The gain of the low impedance coil is flat as high as I can measure (96KHz sampling rate). This is measured using a small coil to excite the pickup coil.
How did I decide on 10 KHz? I measured the spectrum of the bass using the low impedance pickup. It falls at about 30 db per decade above 1KHz, and you can see string harmonics to about 20 KHz. However, the SNR is quite poor out there, and so I am assuming that somewhere between 5 and 10 KHz is good enough response as a practical matter.
I have recorded a little bit of crappy bass playing with each pickup. (This is my old aluminum bass, only one I have.) Can you decide which coil is which?
(By the way, it was necessary to set the pickups to the same distance from the strings with very good precision since the different magnetic field strength at the strings makes a large different on the level of higher string harmonics, due to the magnetic damping.)Acomp.mp3Bcomp.mp3
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