Publication Type |
Journal Article |
School or College |
College of Engineering |
Department |
Electrical & Computer Engineering |
Creator |
Mathews, V. John |
Other Author |
Carini, Alberto; Sicuranza, Giovanni L. |
Title |
On the inversion of certain nonlinear systems |
Date |
1997 |
Description |
Abstract-In this letter, we present some theorems for the exact inversion and the pth-order inversion of a wide class of causal, discrete-time, nonlinear systems. The nonlinear systems we consider are described by the input-output relationship y(n) = g[x(n)]h[x(n - 1); y(n - 1)]+f[x(n - 1); y(n - 1)], where g[•], h[•; •] and f[•; •] are causal, discrete-time and nonlinear operators and the inverse function g-1[•] exists. The exact inverse of such systems is given by z(n) = g-1[{u(n) - f[z(n - 1); u(n -1 )]}/ h[z(n - 1); u(n - 1)]]. Similarly, when h[• ;•] = 1, the pthorder inverse is given by z(n) = gp -1 [u(n)- f[z(n - 1); u(n - 1)]] where gp -1 p [•] is the pth-order inverse of g[•]. Index Terms-Inverse systems, nonlinear filters, nonlinear systems |
Type |
Text |
Publisher |
Institute of Electrical and Electronics Engineers (IEEE) |
Volume |
4 |
Issue |
12 |
First Page |
334 |
Last Page |
336 |
Language |
eng |
Bibliographic Citation |
Carini, A., Sicuranza, G. L., & Mathews, V. J. (1997). On the inversion of certain nonlinear systems. IEEE Signal Processing Letters, 4(12), 334-6. December. |
Rights Management |
(c) 1997 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. |
Format Medium |
application/pdf |
Format Extent |
138,556 bytes |
Identifier |
ir-main,15089 |
ARK |
ark:/87278/s6kp8kkc |
Setname |
ir_uspace |
ID |
705344 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s6kp8kkc |