Mechanics and electrodynamics have been assigned.
We get a voltage signal from a source and try to convert it to sound pressure. The dependency between voltage signal and sound pressure should be linear. At least we hope so.
It is the acceleration of the loudspeaker cone that causes sound pressure.
There is some mass in the cone. To have acceleration you need force.
May the force be with you, in that case you need either Star Wars or physics. Physics was chosen.
F = I L B
If L and B are constants and I is a variable, then there is a linear dependency between I and F.
Since B is constant only within a limited length of excursion, it is obvious that outside that linear range distortion will occur.
One could measure cone acceleration. Or one could measure cone velocity and derive acceleration from that. Or one could measure cone position and derive velocity from that.
Using some kind of motion feedback the linear region could be extended, but then, that limited region ends abruptly to hard limits.
When we replay music with moderate sound pressure, the voice coil will stay within the linear region.
One can imagine what the motion feedback must do when the voice coil goes out of the linear region. More juice is needed, and the voice coil will warm up.
We get a voltage signal from a source and try to convert it to sound pressure. The dependency between voltage signal and sound pressure should be linear. At least we hope so.
It is the acceleration of the loudspeaker cone that causes sound pressure.
There is some mass in the cone. To have acceleration you need force.
May the force be with you, in that case you need either Star Wars or physics. Physics was chosen.
F = I L B
If L and B are constants and I is a variable, then there is a linear dependency between I and F.
Since B is constant only within a limited length of excursion, it is obvious that outside that linear range distortion will occur.
One could measure cone acceleration. Or one could measure cone velocity and derive acceleration from that. Or one could measure cone position and derive velocity from that.
Using some kind of motion feedback the linear region could be extended, but then, that limited region ends abruptly to hard limits.
When we replay music with moderate sound pressure, the voice coil will stay within the linear region.
One can imagine what the motion feedback must do when the voice coil goes out of the linear region. More juice is needed, and the voice coil will warm up.
Worst offender in driver linearity is not B but suspensions. The Cms will typically change by one order of magnitude from rest position to max linear dispacement. Unfortunately a lot of drivers do not behave linearly in this department at all. With voltage drive attempting to damp one can clearly observe a number of (unwanted) inversions on the impulse response. Such inversion are what make impulse response dirty and longer. Suspensions are generally far less linear than induction. This might be the reason why motion feedback might not be as effective as one hopes, just like feedback in amplifiers when they start clipping.....a true current amp with high internal Zout will not have this problem at least.
If I have to build a louspeaker and limit the excursion even more than the max linear excursion of its driver what's the point?
If I have to build a louspeaker and limit the excursion even more than the max linear excursion of its driver what's the point?
With no negative feedback, and very high resistance plates . . .
The bandwidth with moderate to heavy loading on the transformer "swamps" out the effects of the primary & secondary inductance, and also the distributed capacitance of the primary.
But it makes the effect of the leakage inductance from primary to secondary,
such that the high frequencies are rolled off (unless the load impedance goes up at those high frequencies, like voice coils can do).
Lots more primary inductance requires lots more turns, and depending on how the transformer is made, can have lots of distributed capacitance.
Interleaving can split up those capacitances, and reduce the leakage inductance.
But real transformer designers know so many tricks, and the tradeoffs that they cause.
To many factors to make a generalization that fits all.
The bandwidth with moderate to heavy loading on the transformer "swamps" out the effects of the primary & secondary inductance, and also the distributed capacitance of the primary.
But it makes the effect of the leakage inductance from primary to secondary,
such that the high frequencies are rolled off (unless the load impedance goes up at those high frequencies, like voice coils can do).
Lots more primary inductance requires lots more turns, and depending on how the transformer is made, can have lots of distributed capacitance.
Interleaving can split up those capacitances, and reduce the leakage inductance.
But real transformer designers know so many tricks, and the tradeoffs that they cause.
To many factors to make a generalization that fits all.
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The cone velocity, as a fraction of the speed of sound, is the SPL as a fraction of the maximum SPL.
How do we get constant velocity?
The question is, how do we get high output resistance, "current drive", without relying on output pentode compromised by an output transformer?
Easy!
Take any amp with feedback by voltage from the secondary. Yes, it has low output resistance. Add one more low ohm resistor between the speaker and the ground. And take feedback by current from this resistor.
The problem solved.
Easy!
Take any amp with feedback by voltage from the secondary. Yes, it has low output resistance. Add one more low ohm resistor between the speaker and the ground. And take feedback by current from this resistor.
The problem solved.
Sound pressure is proportional to the cone acceleration.
There is a fine explanation, but one sentence is essential:
You will find it here:
acoustics - Relationship between sound pressure level and amplitude of signal - Physics Stack Exchange
There is a fine explanation, but one sentence is essential:
You will find it here:
acoustics - Relationship between sound pressure level and amplitude of signal - Physics Stack Exchange
