In this paper, we face the problem of constructing a robust feature space f
or automatic classification of signals fi om narrow-band in-air ultrasonic
sensors. In consideration of the existing sensor bandwidth restrictions, th
e importance of selecting a suitable signal descriptor is highlighted. We a
ssume that the characteristics of the ultrasonic sources which produce the
signals are impressed in the shape of their echo envelopes.
A technique based an orthonormal Laguerre polynomials is applied to the ech
o envelopes for constructing the feature space. Different methods for compu
ting the Laguerre coefficients are discussed, and the properties of the res
ulting feature space are investigated.
For the experimental verification of the method, a set of acoustic sources
is synthesized by submitting a high-frequency piezoelectric transducer to v
arying levels of electrical damping. How some factors, i.e,, the signal-to-
noise ratio (SNR) of the return signals, and the sampling rate to digitize
them; affect the achievable recognition rate is discussed. High recognition
rates are obtained in our experiments, in spite of the Bet that, by visual
inspection, the shapes of the signals from the synthesized sources are ver
y similar to one another.