Publications
A unified framework for mode filtering and the maximum a posteriori mode filter
Abstract
A unified framework is presented for examining the performance of linear mode filtering algorithms. Two common mode filters, samples of the mode shapes and the pseudo-inverse of the mode shapes, are presented in this framework as a tradeoff between sensitivity to other modes and sensitivity to white noise. The maximum a posteriori mode filter is presented as an alternative which gracefully transitions between these extremes, and attains the minimum mean squared error when the modes to be estimated are well modeled as samples of a Gaussian random process. Numerical simulations in both shallow and deep water environments confirm the analytically derived properties of these mode filters.
© 1998 Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires the permission of the authors and the Acoustical Society of America. The article (PDF) appeared in the Journal of the Acoustical Society of America, vol. 103(4), pp. 1813-1824, April 1998 and may be also found on the JASA website.