On Gain-Bandwidth Limitations for Physically Realizable Systems
- 1 September 1965
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 12 (3) , 329-333
- https://doi.org/10.1109/tct.1965.1082443
Abstract
Gain-bandwidth limitations for certain physical systems have been obtained in integral form by employing a generalized representation theorem for bounded-real functions. These systems are characterized by the fact that certain portions of them are fixed or prescribed. The primary interest of the paper is the determination of how the fixed portion limits the overall performance of the system and, in particular, the gain-bandwidth constraints for input-output functions. A principal feature of the procedure, and of the specific results quoted, is that it applies (within assumptions such as linearity, time-invariance, etc.) to extremely general systems. For example, no restriction such as rationality (lumped, finite systems) is imposed. The examples considered (wideband matching, optimization of laser amplifier, etc.) have been selected either for their current interest or the generality of the statements which can be made concerning them.Keywords
This publication has 3 references indexed in Scilit:
- A New Theory of Broad-band MatchingIEEE Transactions on Circuit Theory, 1964
- Correction to The Scattering Matrix in Network TheoryIRE Transactions on Circuit Theory, 1957
- Theoretical limitations on the broadband matching of arbitrary impedancesJournal of the Franklin Institute, 1950