Am. Sabatini, A DIGITAL SIGNAL-PROCESSING TECHNIQUE FOR COMPENSATING ULTRASONIC SENSORS, IEEE transactions on instrumentation and measurement, 44(4), 1995, pp. 869-874
A factor of great importance when assessing the accuracy of ultrasonic
rangefinders is the accuracy in the knowledge of the speed of sound,
necessary to convert temporal into spatial information. A digital sign
al-processing technique for making an ultrasonic transducer array capa
ble of automatically compensating for variations in the speed of sound
due to temperature or any other atmospheric conditions is proposed an
d discussed in this paper. The technique is based on an iterative line
arized least-squares estimator, namely an extended Kalman filtering al
gorithm, for processing the time-of-flight measurements from a referen
ce target whose location is only approximately known. In contrast to o
ther well-known techniques, neither additional external sensors for mo
nitoring the environment nor accurately positioned reference targets a
re required. A sensitivity analysis of the proposed algorithm is perfo
rmed through a Monte Carlo simulation study. The theoretical analysis
provides a clear-cut picture for understanding the merits of the techn
ique under a variety of physical operating conditions. The level of th
e measurement noise and the correct calibration of the transducers are
proven to be the crucial factors for obtaining estimates of the speed
of sound at a prescribed level of accuracy, given a fixed temporal in
terval for collecting the measurements. The main conclusions of the si
mulation study are confirmed by some real-life results obtained using
an experimental tracking sonar device.