The development of modern electronic circuits and systems (ECS) is characterized by increasing bandwidth and bit rates, lower signal amplitudes and higher density of the circuitry. On the one hand, it makes use of distributed passive circuit structures and, on the other hand, yields radiated electromagnetic interference (EMI) in a broad frequency range and a high circuitry sensitivity to EMI. Therefore, a full-wave electromagnetic (EM) analysis of such systems becomes computationally more and more costly as their complexity increases. Furthermore, EMI sources are commonly assessed in the frequency domain assuming static emissions which is not valid in a highly complex ECS environment due to the stochastic nature of the noise signals and due to multifunctional devices with many operating modes. Newly developed methods for compact model generation of complex distributed EM structures and tools comprising network and wave digital methods for their modeling, allow for efficient computer-aided design of modern ECS complying with EMC/EMI standards. In addition to that, a recently developed approach for the simulation of radiated EMI propagation based on equivalent source models, obtained by near-field measurements, and supported by a network-oriented correlation matrix methodology is capable to find a solution of stochastic EM field representation and its propagation and therefore prevent and solve failures and interference in modern electronics.
In this paper a combination of a systematic network-oriented design approach and correlation matrix methodology will be used to present an approach for an efficient computation of stochastic EM field propagation in linear passive distributed microwave circuits. In the proposed method, as the first step, the network synthesis techniques for lumped element equivalent circuits, such as canonical Foster representation, will be used for network representation of multiport microwave circuit. The synthesized equivalent circuit will be then transformed into a wave digital network (WDN) model of the multiport under consideration, providing a powerful framework for the treatment of time-discrete network models by establishing the transfer functions of the multiport model. In the last step, this time-discrete transmission line segment circuit (TLSC) algorithm will be incorporated into the correlation matrix calculation to consider the propagation of stochastic signals in multiport device for an arbitrary correlation between the port sources. As a numerical example, a 4-port device will be investigated in this contribution in order to illustrate the capabilities of the presented approach and the impact of variable degrees of source correlation on the device output.
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The development of modern electronic circuits and systems (ECS) is characterized by increasing bandwidth and bit rates, lower signal amplitudes and higher density of the circuitry. On the one hand, it makes use of distributed passive circuit structures and, on the other hand, yields radiated electromagnetic interference (EMI) in a broad frequency range and a high circuitry sensitivity to EMI. Therefore, a full-wave electromagnetic (EM) analysis of such systems becomes computationally more and mo...
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