Hi!

I agree with Martin Peach in most points and want to add some sentences.

On 22.10.2010 01:17, Martin Peach wrote:
A perfect speaker will reproduce the sound exactly by transforming the instantaneous voltage to a displacement in or out. That's called 'compliance' in the speaker biz. The ideal speaker has zero mass and is totally rigid.
So nonlinearities will show up:
1> when the speaker is massive and can't reach the ideal position quickly enough.
this mainly filters the signal in a way of an analog lowpass filter and influences the intensity and phase spectra. It doesn't add new frequencies to it, so it's still called 'linear'. However throug the mass the system also has to deal with the stiffness and this causes some nonlinear effects.
2> when the speaker deforms as it is accelerated from the centre but lags at the edges.
I'm also sure these material nonlinearities will produce a main part of distortion frequencies in the spectrum. Especially when the speaker surround and spider are at their limits their imperfection will cause the whole cone to move 'sideways' and build up different modes. So this is definitely of interest for a (dying) speaker simulation. Probably this is one of the most challenging too...

Also the stationary magnet is driving a coil in the speaker cone. When the speaker is overdriven the coil will be pushed away from the field of the magnet on the outward stroke and so the coil will be less able to move the speaker, so a kind of soft clipping will occur. But on the inward stroke the coil will bottom out and slam into the support structure, giving a hard clipping and possibly some bouncing.
dependant on the construction of the speaker this slam will not occur, because the spider prevents this. (In most new speakers the spider is linear for small amplitudes and starts to become very hard and thus nonlinear at both ends. In a simulation one might want to chose if that slam (or i called it crash) happens or not. In a real speaker this often is really the death of the speaker because the coil is damaged permanently and then scratches on the magnet surface on every movement - I don't feel like I want to simulate these sounds :-\

I don't think the nonlinearities of the air are relevant here, or the doppler effect of the moving speaker.
I also agree that doppler effect is not the dominant parts of the distortions in a conventional speaker enclosure for music reproduction. Countermeasures are taken to reduce doppler effect as good as possible in these systems. In real speaker enclosements doppler effect is largely reduced by separating the audio spectrum on several speakers, so the bass speaker which does most of the movements only has to produce frequencies up to several hundreds of hertz. For example bass speakers in 3-ways systems are driven below 150 Hz in most cases - doppler effect becomes very low in this spectrum and mid range speaker have almost no visible travel anymore. However the doppler effect occurs in every speaker with moving parts and especially for full range speakers this becomes important. Guitar amps often use bass drivers in full range, so this has some practical relevance for musicians too.

I'd be interested what kind of speakers fallen_devil was interested in when originally posting his question to the list. Also a record of the noise would be nice for comparison...

cheers
Martin
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