RLC Interconnect Crosstalk Waveform Evaluation

Abstract

The constant evolution in integrated circuit In this paper, a new crosstalk RLC noise expression is technology has led to an increase in the digital chip switching proposed. It can predict the noise amplitude and the noise speed. There is thus growing interest in the inductance waveform of an RLC interconnect. The paper is organized as associated with signal lines. Inductive coupling effects on follows. The second section presents our approach to model interconnects is an emerging concern in high performance RLC coupling noise waveforms. Based on an RLC digital integrated circuits. In this paper, a new crosstalk RLC transmission line model, associated with each propagation noise expression is proposed and based on an RLC m issiobtainea crosstalktedltaghexpress ion transmission line model associated with each propagation mode, we obtain a crosstalk voltage expression, in the mode, which is capable of predicting the noise amplitude and Laplace domain, in the case of a lumped model. Section 3 the noise waveform of an RLC interconnect. The interconnect develops the methodology used to modify the lumped model distribution is condensed in an equivalent lumped model to to approach the output waveform of the distributed model. In simplify the analytical expression. Several simulations revealed section 4 we validate the new model by comparing it with that the proposed expression predicts the waveform quite SPICE simulation results. accurately. This simplified analytical expression of crosstalk noise is sufficiently accurate to be effectively incorporated in state-of-the-art noise calculators. II. COUPLING MODELING

Crosstalk noise determination for non-identical lines

“…Consequently, by determining a analytical expression of coefficient X, it will be possible to calculate dissymmetrical coupled line structure crosstalk voltage maximum amplitude from a symmetrical structure one for which the expression (detailed in [3] ) and the line width factor F W . …”

“…In a previous work [3], we have proposed a new RLC crosstalk noise expression predicting crosstalk noise maximum amplitude, based on a RLC transmission line model associated with common and differential propagation modes. The principles of the analysis we have followed in order to obtain the numerical values of the RLCG equivalent parameters, from which a set of coupled transmission lines could be modelled, have been presented in [4].…”

Analytical crosstalk noise characteristics

“…We will now compare these results with crosstalk voltages characteristics simulated from the reference distributed coupled-line system. Remark that the reference and the equivalent models are described in our previous works [6] [7]. For the electrical simulations, we use the electrical parameters we have determined for a 1GHz frequency on an upper level typical interconnect geometry.…”

“…An extrapolation to a low loss approximation (R<2Z o ) is given but does not correspond to Very Deep Sub-Micron Technologies (DVSM); R corresponding to the line resistance and Z o to the line characteristic impedance. In [6], based on an RLC transmission line model associated with each propagation mode, a new crosstalk RLC noise expression was proposed. The analysis starts with a model in the frequency domain (s domain) to obtain closed form voltage transfer function.…”

“…All the equivalent lumped structure parameters are listed in details in [6]. We obtain in time domain the capacitive and inductive modal waveforms analytical equations permitting to determine the capacitive and inductive coupling crosstalk voltages.…”