Theory on asymmetrical coupled‐parallel‐line transmission and reflection zeros

Ravelo, Blaise

doi:10.1002/cta.2322

Cited by 9 publications

(9 citation statements)

References 35 publications

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“…The layout and LC equivalent circuit of a transmission line, open‐end, short‐end, and coupled line are presented in Figure . The values of the inductors and capacitors can be obtained from the LC model as follows:

If \frac{true}{l_{y} < λ_{g}} C_{y} = \frac{l_{y}}{Z_{y} v_{p}},

If \frac{true}{l_{s} < λ_{g}} L_{s} = \frac{Z_{s} l_{s}}{v_{p}},

L_{t} = \frac{Z_{t} sin ((), \frac{2 π}{λ_{g}} l_{t})}{ω}, C_{t} = \frac{tan ((), \frac{π}{λ_{g}} l_{t})}{ω Z_{t}},

C_{s} = \frac{((), Z_{ce} - Z_{co}) italictan ((), \frac{2 π}{λ_{g}} l_{c})}{2 ω Z_{ce} Z_{co}}, C_{p} = \frac{italictan ((), \frac{2 π}{λ_{g}} l_{c})}{ω Z_{ce}},

where, Z t , Z y , Z s , and Z c are the impedances of the single, open‐end, short‐end, and gap of the microstrip line with the lengths of l t , l y , l s , and l c , respectively. Here, λ g represents the guided wavelength, ω is the angular center frequency, and v p is the phase velocity of the propagation.…”

Section: The Equivalent Circuitmentioning

confidence: 99%

A dual‐mode tunable bandpass filter for GSM, UMTS, WiFi, and WiMAX standards applications

Maragheh

Dousti

Dolatshahi

et al. 2019

Circuit Theory & Apps

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Summary This paper presents a dual‐mode tunable bandpass filter (BPF) for global system for mobile communication, universal mobile telecommunications system, wireless fidelity, and worldwide interoperability for microwave access standard applications. The proposed filter consists of a stepped‐impedance resonator, single resonator, and coupled line, which are loaded with varactors. The center frequency and bandwidth of the proposed filter can be tuned with tuning varactors. Furthermore, the measurement results show that the BPF can be tuned over the frequency range of 1.8 to 2.5 GHz. Moreover, the bandwidth can be changed at each certain frequency. Furthermore, using PIN diodes, a bandstop filter is added to the tunable BPF to reduce the out‐of‐band frequencies around the desired frequencies. The values of LC equivalent circuits are calculated, and the results are compared with those obtained from the layout of the proposed structure. Finally, the measurement results justify the simulation results.

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If \frac{true}{l_{y} < λ_{g}} C_{y} = \frac{l_{y}}{Z_{y} v_{p}},

If \frac{true}{l_{s} < λ_{g}} L_{s} = \frac{Z_{s} l_{s}}{v_{p}},

L_{t} = \frac{Z_{t} sin ((), \frac{2 π}{λ_{g}} l_{t})}{ω}, C_{t} = \frac{tan ((), \frac{π}{λ_{g}} l_{t})}{ω Z_{t}},

C_{s} = \frac{((), Z_{ce} - Z_{co}) italictan ((), \frac{2 π}{λ_{g}} l_{c})}{2 ω Z_{ce} Z_{co}}, C_{p} = \frac{italictan ((), \frac{2 π}{λ_{g}} l_{c})}{ω Z_{ce}},

Section: The Equivalent Circuitmentioning

confidence: 99%

A dual‐mode tunable bandpass filter for GSM, UMTS, WiFi, and WiMAX standards applications

Maragheh

Dousti

Dolatshahi

et al. 2019

Circuit Theory & Apps

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“…By taking:

x = exp ((), - italicjθ)

the output mesh is propagated by the current i o = i ok through the load resistance R and the Branin sources ( e k , e ok ) which are expressed as:

({, \begin{array}{l} E_{k} ((), jω) = x ((), Z - R) I_{o} ((), jω) \\ E_{ok} ((), jω) = x ([], E_{a} ((), jω) - ((), Z_{i} - \frac{Z}{n}) I_{a} ((), jω)) \end{array})

…”

Section: Description Of the Kron‐branin Modeling Applied To Symmetricmentioning

confidence: 99%

“…Based on the circuit theory, the access and transfer impedances of the graph shown in Figure are defined by:

Z_{in} ((), jω) = \frac{V ((), jω)}{I_{i} ((), jω)} - R_{i}

Z_{t} ((), jω) = \frac{- {RI}_{o} ((), jω)}{I_{i} ((), jω)}

…”

Section: Description Of the Kron‐branin Modeling Applied To Symmetricmentioning

confidence: 99%

“…A lumped element modeling method using transmission line (TL) RLC model was established in Russer et al, Ruehli et al, and Wang and Chang for the interconnect tree. Nevertheless, it was found that the performance of certain clock tree topologies as H‐tree can be limited by the coupling and cross talk effects . So far, most of the developed analytical models of symmetric and asymmetric microstrip interconnect trees are using complex fastidious method using complex calculations of various parameters as Z, Y, and ABCD matrices .…”

Section: Introductionmentioning

confidence: 99%

“…Nevertheless, it was found that the performance of certain clock tree topologies as H-tree can be limited by the coupling and cross talk effects. 40,41 So far, most of the developed analytical models of symmetric 42 and asymmetric 43 microstrip interconnect trees are using complex fastidious method using complex calculations of various parameters as Z, Y, and ABCD matrices. 44 The complexity of the analytical calculations limits the model practicability.…”

Section: Introductionmentioning

confidence: 99%

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Kron‐Branin modeling of symmetric star tree interconnect

Ravelo

Maurice

et al. 2018

Circuit Theory & Apps

Self Cite

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Summary An analytical modeling method of symmetric tree interconnect is developed in this paper. The tree topology is composed of multibranch distributed interconnects of printed circuit board (PCB). The interconnects are constituted by elementary transmission line (TL) defined by its characteristic impedance and propagation constant. The star symmetric tree model is built with the Kron‐Branin (KB) formalism elaborated with the graph topology. Reduction method allowing to simplify the graph from single‐input multiple‐output (SIMO) to single‐input single‐output (SISO) circuit is used. The interconnect tree branch currents are determined from the reduced SISO structure. The symmetric tree S‐parameter and access and transfer impedance models are expressed in function of constituting elementary TL parameters with the KB formalism. The particular behaviors of short‐circuit and open‐ended star tree are investigated versus the tree number of output branches. The developed KB model effectiveness is validated with microstrip star tree designed and simulated with a 3D electromagnetic computational and electronic circuit designer commercial tool. Three different proofs of concept (POC) of star trees comprised of three‐output, four‐output, and five‐output branches are computed. The simulated reflection and transmission coefficients from DC to 5 GHz are in good agreement with the KB models. The proposed model is potentially useful for the PCB complex interconnect modeling and signal integrity analysis.

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Cartographical Analyses of Reflection and Transmission Coefficients of Shunt Coupled Lines

Ravelo

2019

Analytical Methodology of Tree Microstrip Interconnects Modelling for Signal Distribution

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Theory on asymmetrical coupled‐parallel‐line transmission and reflection zeros

Cited by 9 publications

References 35 publications

A dual‐mode tunable bandpass filter for GSM, UMTS, WiFi, and WiMAX standards applications

A dual‐mode tunable bandpass filter for GSM, UMTS, WiFi, and WiMAX standards applications

Kron‐Branin modeling of symmetric star tree interconnect

Cartographical Analyses of Reflection and Transmission Coefficients of Shunt Coupled Lines

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