Look at
http://www.roymech.co.uk/Useful_Tables/Maths/fourier/Maths_Fourier_transforms.html
and compare the fourier transform of:
1. top hat (sinc)
2. triangle (sinc^2)
3. gauss (gauss)

trapezoidal is inbetween top hat and triangle.

for accaleration function
1. top hat: jerc is unboundet
2. triangle and trapezoidal: jerc is constant
3. gauss: jerc is gauss

_Conclusion:_ 
gaussian accaleration gives the _lowest_ frequency components!

Unfortunately gaussian jerk is impossible. You have to
wait infinite time to start the motion.

Which function looks like a gaussian?
The sinusoidal type in 
STR_V8_N1_07_MCH.pdf: Fig.1 (a) 
or
4267.pdf: page 8, upper trace
is a candidate!

Joachim 

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