i think the reason that they all make short pendulum is the natural frequency, the total "noise" of the electronic level consist up of 2 parts, one is the LVDT readnoise, the other one is forced-oscillation.
the lvdt part could do better than 20bits resolution nowadays, the circuit noise could almost be ignored, the remaine noise is DC+AC magnite noise from the enviroment, the eddy current noise of the LVDT core, they are hard to remove.
the forced-oscillation is because of the vibration of earth or building, it mainly exist in 0.15-15Hz in frequency domain, so you have to design the natural frequency of the pendulum as far away as possible from 0.15-15Hz. the seismic observation equipment always set the natural frequency to more than 100Hz, and they give a definite transfer function of the device, you can fix the errors, and get the "true ground".
the LVDT used in federal-mahr and taylor-hobson are aera-vary type, the advantage is its linearity while the disadvantage is low sensitivity, the air-gap-vary type sensor is more sensitive, but non-liner, and its rarely used.
somehow the non-linear capacitance sensor is widely used, the Wyler-AG use a 20mm diameter archimedes-spring as the pendulum, the natural frequency could be more than hundreds herz, but i think its very difficult to DIY
the lvdt part could do better than 20bits resolution nowadays, the circuit noise could almost be ignored, the remaine noise is DC+AC magnite noise from the enviroment, the eddy current noise of the LVDT core, they are hard to remove.
the forced-oscillation is because of the vibration of earth or building, it mainly exist in 0.15-15Hz in frequency domain, so you have to design the natural frequency of the pendulum as far away as possible from 0.15-15Hz. the seismic observation equipment always set the natural frequency to more than 100Hz, and they give a definite transfer function of the device, you can fix the errors, and get the "true ground".
the LVDT used in federal-mahr and taylor-hobson are aera-vary type, the advantage is its linearity while the disadvantage is low sensitivity, the air-gap-vary type sensor is more sensitive, but non-liner, and its rarely used.
somehow the non-linear capacitance sensor is widely used, the Wyler-AG use a 20mm diameter archimedes-spring as the pendulum, the natural frequency could be more than hundreds herz, but i think its very difficult to DIY