How to get high damping without amplifier feedback interference

I'm a casual and some what lazy student on the topic. There are many authoritative books on the subject. A google search for "electro acoustics of microphones and speakers" will yield a list of books. You may find a .pdf of a book for free. It may require some searching to find one that goes through the acoustic and mechanical equations of motion directly for a microphone and a speaker. Here's an example I found. https://www-fourier.ujf-grenoble.fr/~faure/enseignement/musique/documents/chapter_1_sound/microphones_and_loudspeakers/Glen Ballou - Electroacoustic Devices_ Microphones and Loudspeakers-Focal Press (2009).pdf

To really bend my brain last year I decided to study vinyl records to produce a mathematical simulation of the signal chain from cutting head to phono cartridge playback. Figuring out what the groove displacement profile represented ( velocity? acceleration? something in between?) required a lot of study to sort through industry terms I found confusing.
 
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OP mentioned a 1.6 ohm load.

You want a amplifier with a lot of output transistors.
There is a minimum amount needed, and then overkill for relentless drive into low impedance difficult loads.
Then of course a real power supply that accepts such a ridiculous load.
No offense 1.6 ohms is not very ideal, Even 6 to 8 ohms not ideal, but far far more friendly than 1.6 ohms.

Even with 8 ohm loads a redundant amount of output devices, will give way better drive and less distortion.

Other than that A speaker with more control has a powerful motor.
If Qts is getting in the upper .4 or .5 rather weak motor.
The enclosure needs to be rather large to make up for it.

Comes down to basics with audio.

Amplifiers with generous amounts of output devices and power supplies.

And speakers with generous amounts of control with powerful magnets.
.3 to low .4 Qts
Whatever mechanical properties it has.
The box should be large enough for same old known .707 Q

Software or plugins wont change that, these are physical realities.
Thanks for the info, I know it's not reasonable to drive a speaker designed by crazy people, however I really want to know how they drive it (Those parameters seem unreasonable, it's a Devialet Mania speaker, it has a minimal box, and I'm using a class D tl494 (pointless adding transistors) to drive it, and it works perfectly. But you know, class Dtl494 operates at 110khz)
 
The Devialet Manta is a portable powered speaker that includes amplification and equalization that is likely very optimized for the driver. So you are bypassing that? I expect it has a low impedance driver to enable a very low battery power supply voltage.

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