Complete Memory Stucture for Approximating Nonlinear Discrete-Time Mappings  

Oleh:

Ghosh, J. ; Stiles, B. W. ; Sandberg, I. W.

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: IEEE Transactions on Neural Networks vol. 8 no. 6 (1997), page 1397-1409.
Topik: discrete-time system; memory structure; discrete - time mappings

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: II36.2 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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Isi artikel

This paper introduces a general structure that is capable of approximating input - output maps of nonlinear discrete - time systems. The structure is comprised of two stages, a dynamical stage followed by a memoryless nonlinear stage. A theorem is presented which gives a simple necessary and sufficient condition for a large set of structures of this form to be capable of modeling a wide class of nonlinear discrete time systems. In particular, we introduce the concept of a “complete memory”. A structure with a complete memory dynamical stage and a sufficiently powerful memoryless stage is shown to be capable of approximating arbitrarily wide class of continuous, causal, time invariant, approximately - finite - memory mappings between discrete - time signal spaces. Furthermore, we show that any bounded - input bounded output, time - invariant, causal memory structure has such an approximation capability if and only if it is a complete memory. Several examples of linear and non linear complete memories are presented. The proposed complete memory structure provides a template for designing a wide variety of artificial neural networks for non linear spatio temporal processing.

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