期刊名称：International Journal of Computer Systems Science and Engineering
印刷版ISSN：1307-430X
出版年度：2008
卷号：04
期号：02
页码：135-135
出版社：World Academy of Science, Engineering and Technology
摘要：Interval mathematics has been used in Signal Processing
as a tool for representing uncertainties that arise from finite
numeric representation, limited precision sensors and the quantization
process. In some control systems, such as soft computing or forecast
systems, the uncertainties are a consequence of variable instability,
signal variance, or the safety rate of some actuators. Papers with
specific applications in this area have been published, but few have
dealt with the theoretical foundation of interval mathematics applied
to signal processing. This essay is a starting point on interval
mathematics in the foundation of signal processing. It is an analytical
approach for dealing with interval linear systems with an application
perspective in signal processing. Interval linear systems will be used
as mathematical models in real systems representation, where the
intervals represent the uncertainty of the system. In this approach only
linear and time invariant systems with single input and single output
(SISO) are used. For this purpose the classical basic properties of
real linear systems will be extended. These properties are: causality,
stability, additivity and homogeneity. Finally, an interval convolution
definition is proposed to represent uncertainty systems and signals
more accurately; it is also an important tool for digital signal
processing.
关键词：Interval Linear Systems, Digital Signal Processing,
Interval Mathematics.
Loading...
