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Behavior of discrete-time linear systems of infinite order

: Boche, H.


Institute of Electrical and Electronics Engineers -IEEE-:
ICECS '99, the 6th IEEE International Conference on Electronics, Circuits and Systems. Proceedings : Pafos, Cyprus, 5-8 September 1999
Piscataway, NJ: IEEE Service Center, 1999
ISBN: 0-7803-5682-9
ISBN: 0-7803-5691-8
pp.1115-1118 (Vol.2)
International Conference on Electronics, Circuits and Systems (ICECS) <6, 1999, Pafos>
Conference Paper
Fraunhofer HHI ()
convolution; discrete time systems; linear systems; stability; discrete-time linear systems; infinite order; bibo-stable systems; bounded input-bounded output; lti-systems; linear time-invariant systems; input output map; convolution sum; sandberg representation theorem; convolution type; discrete time signals

In this paper the behavior of BIBO-stable (bounded input-bounded output) discrete-time LTI-systems (linear and time-invariant) is investigated. It is shown that for a certain class of LTI-systems the input output map is not given by the convolution sum. We use Sandberg's representation theorem for a complete characterization of all BIBO-stable LTI-systems of convolution type.