Abstract
The interesting properties of a class of expanding systems are discussed.
The operation of the considered systems can be described as follows: the
input signal is processed by a linear dynamic converter in subsequent time
intervals, each of them is equal to Ti. Processing starts at the moments n
· Ti, always after zeroing of converter initial conditions. For smooth
input signals and a given transfer function of the converter one can
suitably choose Ti and the gain coefficient in order to realize the
postulated linear operations on input signals, which is quite different
comparing it to the operation realized by the converter. The errors of
postulated operations are mainly caused by non-smooth components of the
input signal. The principles for choice of system parameters and rules for
system optimization are presented in the paper. The referring examples are
attached too.
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