A new generalized energy criterion for the passivity of digital networks

A general passivity criterion for digital networks is introduced. Digital networks that meet this criterion form a stable and useful class of networks. The networks in this class have properties similar to passive analog networks. These networks are all stable, and some networks, including all linea...

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Veröffentlicht in:IEEE transactions on signal processing 1997-08, Vol.45 (8), p.1909-1918
Hauptverfasser: Bush, J.A., Basu, S., Chirlian, P.M.
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creator Bush, J.A.
Basu, S.
Chirlian, P.M.
description A general passivity criterion for digital networks is introduced. Digital networks that meet this criterion form a stable and useful class of networks. The networks in this class have properties similar to passive analog networks. These networks are all stable, and some networks, including all linear networks, are shown to have restricted gain. The gain restriction can be used to design filters that are insensitive to changes in multiplier values at frequencies of maximum gain. Emerging directly from this criterion is a procedure for interconnecting simple networks to form a complex passive network. These networks remain stable after the introduction of rounding following multiplications so that these networks do not exhibit limit cycle oscillations.
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These networks remain stable after the introduction of rounding following multiplications so that these networks do not exhibit limit cycle oscillations.</description><subject>Applied sciences</subject><subject>Digital filters</subject><subject>Electric, optical and optoelectronic circuits</subject><subject>Electronics</subject><subject>Exact sciences and technology</subject><subject>Frequency</subject><subject>Limit-cycles</subject><subject>Network synthesis</subject><subject>Network topology</subject><subject>Passive filters</subject><subject>Passive networks</subject><subject>Stability</subject><subject>Steady-state</subject><subject>Theoretical study. 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1941-0476
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subjects Applied sciences
Digital filters
Electric, optical and optoelectronic circuits
Electronics
Exact sciences and technology
Frequency
Limit-cycles
Network synthesis
Network topology
Passive filters
Passive networks
Stability
Steady-state
Theoretical study. Circuits analysis and design
title A new generalized energy criterion for the passivity of digital networks
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