Bm. Sadler et al., OPTIMAL AND WAVELET-BASED SHOCK-WAVE DETECTION AND ESTIMATION, The Journal of the Acoustical Society of America, 104(2), 1998, pp. 955-963
Detection and estimation of aeroacoustic shock waves generated by supe
rsonic projectiles are considered. The shock wave is an N-shaped acous
tic wave emanating in the form of an acoustic cone trailing the projec
tile. An optimal detection/estimation scheme is considered based on a
parametric signal plus white Gaussian noise model. To gain robustness
and reduce complexity, we then focus on gradient estimators for shock
wave edge detection, exploiting the very fast shock rise and fall time
s. The approach is cast in terms of a wavelet transform where the leve
l of smoothing corresponds to scale. A multiscale analysis is describe
d, consisting of multiscale products, to enhance edge detection and es
timation. This method is effective and robust with respect to unknown
environmental interference that will generally not exhibit singulariti
es as sharp as the N-wave edges. Experimental results are presented fo
r discriminating N waves in the presence of vehicle noise. Results are
also shown, as a function of miss distance, for gradient-based detect
ion of simulated small projectile shocks inserted into recorded tank n
oise. (C) 1998 Acoustical Society of America. [S0001-4966(98)03008-2].