Behavioral Model of Symmetrical Multi-Level T-Tree Interconnects

Abstract

Abstract-An accurate and behavioral modeling method of symmetrical T-tree interconnect network is successfully investigated in this paper. The T-tree network topology understudy is consisted of elementary lumped L-cells formed by series impedance and parallel admittance. It is demonstrated how the input-output signal paths of this single input multiple output (SIMO) tree network can be reduced to single input single output (SISO) network composed of L-cells in cascade. The literal expressions of the currents, the input impedances and the voltage transfer function of the T-tree electrical interconnect via elementary transfer matrix products are determined. Thus, the exact expression of the multi-level behavioral T-tree transfer function is established. The routine algorithm developed was implemented in Matlab programs. As application of the developed modeling method, the analysis of T-tree topology comprised of different and identical RLC-cells is conducted. To demonstrate the relevance of the model established, lumped RLC T-tree networks with different levels for the microelectronic interconnect application are designed and simulated. The work flow illustrating the guideline for the application of the routine algorithm summarizing the modeling method is proposed. Then, 3D-microstrip T-tree interconnects with width 0.1 µm and length 3 mm printed on FR4-substrate were considered. As results, a very good agreement between the results from the reduced behavioral model proposed and SPICE-computations is found both in frequency-and timedomains by considering arbitrary binary sequence "01001100" with 2 Gsym/s rate. The model proposed in this paper presents significant benefits in terms of flexibility and very less computation times. It can be used during the design process of the PCB and the microelectronic circuits for the signal integrity prediction. In the continuation of this 24Ravelo work, the modeling of clock T-tree interconnects for packaging systems composed of distributed elements using an analogue process is in progress.

Analysis of Excitation Pulsed Signal Propagation for Atom Probe Tomography System

“…Similar to the microstrip line network modelling approach introduced in [6], we determined the broadband RLCG model, then we extracted the frequency dependent Z-matrix and the transfer function. From the input impedance of the whole circuit, we obtain the reflection parameters presented in Figure 5.…”

“…Due to the interconnect lines unmatching, several electromagnetic (EM) and electrical phenomena need to be predicted during the characterization of high speed signals as electrical fast transient (EFT) and surge voltages/currents behaviors. Owing to such an effect, various numerical and analytical modelling methods of interconnect lines for high speed signal sharing were developed [3][4][5][6]. Those easy and fast computational methods are subsequently integrated by electronic design engineers in their circuit models in order to predict the signal integrity (SI) especially when the operating frequency is higher [2][3][4][5][6].…”

Design of Flexible Passive Antenna Array on Kapton Substrate

“…2 represents the 2D configuration of this typically single input and multiple outputs (SIMO) microstrip structure. It is noteworthy that in difference with the investigation developed in [25], this 1 : 2 tree distribution network is terminated with the microstrip antennas. The overall structure is printed on the flexible Kapton substrate.…”

“…Similar to the topology proposed in [25], the symmetrical T-PWD under study is implemented in microstrip technology. Fig.…”

“…The study illustrates the choice of the Kapton HN type substrate and the synthesis method. In addition, the proposed 1 × 2 antenna array built with the T-tree power divider (T-PWD) as introduced in [25] will be modeled in non-standard reference load S-parameter. This analytical approach is established from the transmission line theory in which physical dimensions and input impedances are studied.…”