Generalized symmetric interpolating wavelets

A new class of biorthogonal wavelets-interpolating distributed approximatin g functional (DAF) wavelets are proposed as a powerful basis for scale-spac e functional analysis and approximation. The important advantage is that th ese wavelets can be designed with infinite smoothness in both time and freq uency spaces, and have as well symmetric interpolating characteristics. Bou ndary adaptive wavelets can be implemented conveniently by simply shifting the window envelope. As examples, generalized Lagrange wavelets and general ized Sine wavelets are presented and discussed in detail. Efficient applica tions in computational science and engineering are explored. (C) 1999 Elsev ier Science B.V. All rights reserved.