A pointing device for a computer system includes a displacement transducer of the pointing device, provided with: an inertial sensor, supplying acceleration signals indicative of an acceleration according to two axes of detection; and a processing unit, which, on the basis of the acceleration signals, generates velocity signals regarding the pointing device. The processing unit further includes: a state-recognition stage, for selectively recognizing a condition rest and a motion condition of the pointing device on the basis of the velocity signals; and an estimating module, controlled by the state-recognition stage for determining an estimate of stationary disturbance contained in the acceleration signals when the pointing device is in the rest condition.