Y. Tsividis, EXTERNALLY LINEAR, TIME-INVARIANT SYSTEMS AND THEIR APPLICATION TO COMPANDING SIGNAL PROCESSORS, IEEE transactions on circuits and systems. 2, Analog and digital signal processing, 44(2), 1997, pp. 65-85
This paper considers externally linear, time-invariant systems which c
an be internally nonlinear and/or time-varying, Several examples of th
e synthesis of such systems are presented, and it is argued that they
offer advantages in comparison to internally linear, time-invariant sy
stems, In particular, their use in signal processing is considered, an
d it is shown that they can be designed to reduce the undesirable effe
cts of overloading and noise corruption through the use of companding,
It is shown that a variety of previously proposed schemes for this pu
rpose are all related; Several practical problems are discussed, as ar
e performance criteria and types of measurements needed for the evalua
tion of the systems discussed.