Estimation of acoustic source strength by inverse methods: Part II, experimental investigation of methods for choosing regularization parameters

Two regularization methods, Tikhonov regularization and singular value disc arding, are used to improve the accuracy of reconstruction of acoustic: sou rce strength by inverse techniques. Is this paper, some methods are investi gated for choosing the Tikhonov regularization parameter and the singular v alues to be discarded. Of these, we concentrate on the use of ordinary cros s-validation and generalized cross-validation, These methods can provide an appropriate regularization parameter without prior knowledge of either the acoustic source strength or the contaminating measurement noise. Some expe rimental results obtained using a randomly vibrating simply supported plate mounted in a baffle are presented to illustrate the performance of the met hods for choosing the regularization parameters. (C) 2000 Academic Press.