I would like to know whether the noise distribution of body somatosensors (pressure or graviceptive) changes with roll tilt angle. Are they more precise upright or when roll tilted 90 deg etc.
I'm a little confused. Not sure what you mean by 'noise'. I assume that you are interested in the information that receptors provide throughout the body at different degrees of tilt? And by roll tilted by 90° are you using a reference system where the body's Z axis is 90° perpendicular to the gravitational vertical (lying on the side, face up or face down)? Clearly there will be more somatosensory input when rolled 90° than when upright since the force of gravity will stimulate a greater portion of the body surface that when upright. Some more information would be helpful.
You can characterize the signal coming into the brain as a Gaussian distribution having a mean signal (0 for upright and 90 deg for lying on the side) and a noise value telling us how precise this signal is. If you are being roll tilted to the side, is the precision of these signals increased or decreased. I would like to know if there is any literature about either cutaneous pressure sensors or graviceptive sensors.
Did check this paper out already. Unfortunately they do not go into detail about the noise on behavioral level rather than stating it might be Weber-Fechners law.