Neuere Ergebnisse der Theorie der linearen Wechselstromschaltungen

Cauer, Wilhelm

doi:10.1007/bf01660788

Cited by 25 publications

(31 citation statements)

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“…One might use this insight in order to study the structure and realization of rational P-matrices via the linear fractional formalism in equation (6) with rational coefficient matrices A, B, C, D. Instead, we proceed with a modification of a state-space approach.…”

Section: Fine Structure Of Cascade Models For Spudt Filtersmentioning

confidence: 99%

Network modelling of a class of Surface Acoustic Wave filters

Pauli

2007

Mathematical and Computer Modelling of Dynamical Systems

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We focus on the modelling aspects of a wide class of Surface Acoustic Wave (SAW) filters built by cascading two electro-acoustic transducer three-ports that convert electrical signals into acoustic waves on a piezoelectric substrate, and vice versa. It is this conversion of voltages or currents into acoustic waves that requires the use of mixed coordinates for the natural parameterization of SAW transducers. This modelling problem in mixed coordinates offers a variety of basic and interesting aspects that might be useful in other fields. On the level of a general black-box description, we develop a systematic theory of 'mixed' matrix representations including cascade decomposition, lossless or Darlington embedding, state-space realization, and additional constraints imposed by losslessness and reciprocity. Hereby, we identify Redheffer's star product and the pertaining linear fractional transformation as the main structural elements of the underlying matrix algebra. At the detailed level, we are not interested in the analysis and modelling of the various physical effects. Instead, we look for a linear network model that produces rational transfer functions and parameterizes them by physically measurable quantities (reflection and excitation coefficients), that is, we present a mathematically tractable network model for SAW filters that is simple enough to serve as the basis for the future solution of the synthesis problem of such structures under idealized assumptions.

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Section: Fine Structure Of Cascade Models For Spudt Filtersmentioning

confidence: 99%

Network modelling of a class of Surface Acoustic Wave filters

Pauli

2007

Mathematical and Computer Modelling of Dynamical Systems

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“…From this it can be concluded that the thermal behavior of a layer can be related to the electrical equivalent circuit. The heat conduction through a plurality of layers is therefore described by a concatenation of multiple unit lengths, known as the Cauer model [6].…”

Section: A Physical Based Equivalent Circuitmentioning

confidence: 99%

Frequency-Dependent Description of the Thermal Energy Inputs in Each Layer of a Semiconductor by Using Bode Diagrams

Richter¹,

Koller²,

Kopp³

et al. 2013

IJMO

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Abstract-Power semiconductors operate at different loads with different repetitive frequencies depending on each application. The resultant power loss of a semiconductor can be dissipated as a heat flow or absorbed. In this paper, the thermal path is described frequency-dependent by the power loss input to the thermal mass.The thermal path is defined through the packaging and described by a Cauer model. It consists of thermal resistors and capacitors which depend on the material and which can be realized through a continuous fraction element for each layer. This arrangement causes a frequency dependency of the transmission behavior of the package, which is shown in this paper by using the Bode diagram. Two different systems are described; a diode and a DBC module. The frequency-dependent description using the Bode diagram makes it possible to calculate the energy input into individual layers. Thereby the load of the layer is determined as a function of the amplitude and frequency of the input power. The frequency analysis of the input signal in combination with the material-dependent Cauer model allows prediction of the critical layers.Index Terms-Power semiconductor, thermal energy inputs, description of the thermal path, frequency-dependent layer composite, Bode diagram.

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“…In this article, an extension of the Cauer [12,13] ladder development method, for synthesizing symmetric and asymmetric singly terminated filters with elliptic response, is presented. In essence, a drivingpoint immittance synthesis is carried out in such a way that the transmission zeros are realized including reactive constant elements, i.e.…”

Section: Introductionmentioning

confidence: 99%

Synthesis of symmetric and asymmetric singly terminated elliptic ladder filters for multiplexing applications

Montejo‐Garai

Ruiz‐Cruz

Rebollar

2009

Int J RF and Microwave Comp Aid Eng

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An extension of the Cauer ladder development for synthesizing singly terminated filters with symmetric and asymmetric responses is presented. Basically, a drivingpoint immittance including reactive constant elements is carried out in such a way that provides the transmission zeros. The reactive constant elements are introduced into the synthesis for two reasons. The first is to consider the possibility of the asymmetric position of transmission zeros in the real frequency axis. The second one is to obtain canonical forms, i.e. networks with the minimum number of elements in the case of symmetrical responses. To validate the proposed method, a filter with asymmetrical response has been synthesized, comparing different topologies for its use in multiplexers. This fact is illustrated with a Kuband elliptic response diplexer designed in H-plane rectangular waveguide.

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Neuere Ergebnisse der Theorie der linearen Wechselstromschaltungen

Cited by 25 publications

References 0 publications

Network modelling of a class of Surface Acoustic Wave filters

Network modelling of a class of Surface Acoustic Wave filters

Frequency-Dependent Description of the Thermal Energy Inputs in Each Layer of a Semiconductor by Using Bode Diagrams

Synthesis of symmetric and asymmetric singly terminated elliptic ladder filters for multiplexing applications

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