TLDR underlined question toward the end!
I did some searching on this and there was a mixture of related discussion, so I thought I would put this out there directly.
To help convey what I mean - this is what I am assuming about the output of a bass guitar.
1. The output voltage signal of the bass is a combination of the filtered pickup output voltage and noise. For this discussion let's assume the noise is negligible and independent of player input to the instrument. Filtering is done by the pots/caps installed in the bass.
2. The pickup is a type of transducer that converts the (relative) mechanical motion of the metal strings near the pickup to an electrical output signal. Nothing else affects the pickup output (again, neglecting electromagnetic noise/interference). The string construction materials and properties affect the magnitude of the induced fields or currents in the pickup, so I suppose the pick-up response depends both on the motion of the string and the string material. By "nothing else affects the pickup output", I am referring to all of those things we say affect the instrument tone (neck material, frets, bridge, body construction etc.) The impact of all of those features is that they affect the string motion, and therefore only affect the sound by the way they affect the string motion.
3. The string movement is affected to varying degrees by a wide range of factors that include instrument components, player technique, string construction etc. But the final resulting input to the pickup is solely the string motion, influenced by all of those factors, and the coupling strength of the string to the pickup.
My view of "growl" (or bite) is that it is a form of distortion. You have the "clean" output signal with no growl, and to some extent can add this distortion that we can interpret as a growl.
I see two sources of what we might think of as growl.
One is that the "growl" distortion is a disturbance in the string motion, and the pickup is faithfully passing this waveform to the output with high accuracy. This could be finger related disturbances, string contact with the frets, or any number of physical reasons the string is caused to move in a distorted way. Many discussions on the site discuss ways to produce this type of growl (e.g. technique, string type, setup, action).
The second type of distortion is one that is due to non-linear (or non-typical) response of the pickup. This could be thought of as similar to a clipping op-amp output, or some other distorted response due to the limits of the electrical component. Basically in this scenario, the pickup is not faithfully producing an output waveform consistent with the motion of the string. The output is distorted (in a good way) because the range or linearity of the pickup is not keeping up with the input from the string.
So my question is about this second possible source of growl or distortion. Do pickups have non-linear responses to the string motion that results in distortion that we interpret as growl? What is the physical basis for this, if it does exist? (magnetic saturation maybe??) And could this non-linear response be related to or dependent on the rest of the circuit in the instrument (volume pots, tone pot, cap(s)), wires)?
If there is a pickup produced growl or distortion, it seems to me it is likely an overdriven effect that can be increased by strings with higher magnetic properties. I know properties vary with type of metal and construction, and some are considered "higher-output" strings (all else being equal).
My reason for asking this is to try to figure out if I'm going in the wrong direction for my search for more growly/bitey pickups for my MIM Jazz. Maybe it would be a complete waste to put $150 into a set of pickups when string change, technique or setup would get me there. Or maybe I'll never get there until I get a set of pickups with a lower distortion threshold, so pick-up change is critical.
[I know this is long-winded an almost every statement could be argued extensively. The idea was to simplify down the concept so that my final questions about pickups is better understood.]
I did some searching on this and there was a mixture of related discussion, so I thought I would put this out there directly.
To help convey what I mean - this is what I am assuming about the output of a bass guitar.
1. The output voltage signal of the bass is a combination of the filtered pickup output voltage and noise. For this discussion let's assume the noise is negligible and independent of player input to the instrument. Filtering is done by the pots/caps installed in the bass.
2. The pickup is a type of transducer that converts the (relative) mechanical motion of the metal strings near the pickup to an electrical output signal. Nothing else affects the pickup output (again, neglecting electromagnetic noise/interference). The string construction materials and properties affect the magnitude of the induced fields or currents in the pickup, so I suppose the pick-up response depends both on the motion of the string and the string material. By "nothing else affects the pickup output", I am referring to all of those things we say affect the instrument tone (neck material, frets, bridge, body construction etc.) The impact of all of those features is that they affect the string motion, and therefore only affect the sound by the way they affect the string motion.
3. The string movement is affected to varying degrees by a wide range of factors that include instrument components, player technique, string construction etc. But the final resulting input to the pickup is solely the string motion, influenced by all of those factors, and the coupling strength of the string to the pickup.
My view of "growl" (or bite) is that it is a form of distortion. You have the "clean" output signal with no growl, and to some extent can add this distortion that we can interpret as a growl.
I see two sources of what we might think of as growl.
One is that the "growl" distortion is a disturbance in the string motion, and the pickup is faithfully passing this waveform to the output with high accuracy. This could be finger related disturbances, string contact with the frets, or any number of physical reasons the string is caused to move in a distorted way. Many discussions on the site discuss ways to produce this type of growl (e.g. technique, string type, setup, action).
The second type of distortion is one that is due to non-linear (or non-typical) response of the pickup. This could be thought of as similar to a clipping op-amp output, or some other distorted response due to the limits of the electrical component. Basically in this scenario, the pickup is not faithfully producing an output waveform consistent with the motion of the string. The output is distorted (in a good way) because the range or linearity of the pickup is not keeping up with the input from the string.
So my question is about this second possible source of growl or distortion. Do pickups have non-linear responses to the string motion that results in distortion that we interpret as growl? What is the physical basis for this, if it does exist? (magnetic saturation maybe??) And could this non-linear response be related to or dependent on the rest of the circuit in the instrument (volume pots, tone pot, cap(s)), wires)?
If there is a pickup produced growl or distortion, it seems to me it is likely an overdriven effect that can be increased by strings with higher magnetic properties. I know properties vary with type of metal and construction, and some are considered "higher-output" strings (all else being equal).
My reason for asking this is to try to figure out if I'm going in the wrong direction for my search for more growly/bitey pickups for my MIM Jazz. Maybe it would be a complete waste to put $150 into a set of pickups when string change, technique or setup would get me there. Or maybe I'll never get there until I get a set of pickups with a lower distortion threshold, so pick-up change is critical.
[I know this is long-winded an almost every statement could be argued extensively. The idea was to simplify down the concept so that my final questions about pickups is better understood.]