title: Multidimensional wavelet frames.
abstract: Pati and Krishnaprasad (1990) first studied the connection between neural networks and wavelet transforms. Zhang and Benveniste (1992) gave a different treatment of this connection. However, the problem of constructing multidimensional wavelet frames for use in neural networks has not been satisfactorily studied. In this paper, one-dimensional wavelet frame is generalized to the multidimensional case by using single-scaling and multiscaling parameters. The construction of multidimensional wavelet frames is also discussed. These results provide more insight on the use of wavelets in neural networks.
authors.affiliation: Inst. for Syst. Res., Maryland Univ., College Park, MD.
authors.forename: T
authors.initials: T
authors.lastname: Kugarajah
authors.forename: Q
authors.initials: Q
authors.lastname: Zhang