On the relation of circuit theory and signals, systems and communications

Josef A. Nossek, Michel T. Ivrlac

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In signal processing, system theory, an in information theory signals are either complex valued waveforms or sequences of dimensionless complex numbers. The power of such signals is usually said to be the squared magnitude of these complex numbers. In an electrical circuit, power is always the product of voltage and current, both present at a port, i.e., at a pair of terminals. Here we ask the question: what is the relation between signal power and physical power? There are special cases, where the two notions of power are strictly proportional and, therefore, no conflict occurs. But in general, especially when we deal with vector signals, the commonly used squared Euclidean norm of the signal vector may not be a measure for the physical power associated with the voltages and currents, which correspond to the signal vector. In addition to the physically consistent computation of signal power, physically consistent modeling of the noise is crucial in all information processing systems. Again circuit theory provides with a methodology to model how the noise comes into the system. Modeling is one the most important tasks in engineering and, therefore, physically consistent modeling is very important for the education of electrical engineers. Circuit Theory is the essential framework to ensure physical consistency across several levels of abstraction.

Original languageEnglish
Title of host publication2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011
Pages603-604
Number of pages2
DOIs
StatePublished - 2011
Event2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011 - Rio de Janeiro, Brazil
Duration: 15 May 201118 May 2011

Publication series

NameProceedings - IEEE International Symposium on Circuits and Systems
ISSN (Print)0271-4310

Conference

Conference2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011
Country/TerritoryBrazil
CityRio de Janeiro
Period15/05/1118/05/11

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