TY - GEN

T1 - On the relation of circuit theory and signals, systems and communications

AU - Nossek, Josef A.

AU - Ivrlac, Michel T.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=79960877824&partnerID=8YFLogxK

U2 - 10.1109/ISCAS.2011.5937637

DO - 10.1109/ISCAS.2011.5937637

M3 - Conference contribution

AN - SCOPUS:79960877824

SN - 9781424494736

T3 - Proceedings - IEEE International Symposium on Circuits and Systems

SP - 603

EP - 604

BT - 2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011

T2 - 2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011

Y2 - 15 May 2011 through 18 May 2011

ER -