Closed form metrics to accurately model the response in general arbitrarily-coupled RC trees
نویسندگان
چکیده
Closed form expressions are presented for the first and second moment of the impulse response for arbitrarily-coupled RC trees with multiple drivers, and used to generate accurate second order estimations of the transfer function from any driver to the receiver. The superposition of the waveforms for all switching events allows precise delay and noise calculations for systems of coupled interconnects with different aggressor arrival times, with a minimum of computational complexity.
منابع مشابه
Accurate Analysis of Dielectric Backed Planar Conducting Layers of Arbitrarily Shaped in a Rectangular Waveguide
The characteristics of dielectric backed planar conducting layers of arbitrarily shaped in a rectangular waveguide are calculated by means of coupled integral equation technique (CIET) which accurately takes higher order mode interactions. Equivalent structures for the accurate analysis whole structure are introduced in which magnetic surface currents are identified as the unknowns at the apert...
متن کاملClosed Form Expressions for Delay to Ramp Inputs for On-Chip VLSI RC Interconnect
In high speed digital integrated circuits, interconnects delay can be significant and should be included for accurate analysis. Delay analysis for interconnect has been done widely by using moments of the impulse response, from the explicit Elmore delay (the first moment of the impulse response) expression, to moment matching methods which creates reduced order trans impedance and transfer func...
متن کاملCrosstalk Noise Estimation for Generic RC Trees
AbsrrmrWe propose an estimation method of crosstalk noise for generic RC trees. The proposed method derives an analytic waveform of crosstalk noise in a 2-7r equivalent circuit. The peak voltage is calculated from the closed-form expression, and the crosstalk induced delay is estimated using the derived noise waveform. We also develop a transformation method from generic RC trees with branches ...
متن کاملAn Explicit Model of Delay and Slew Metric for On-Chip VLSI RC Interconnects for Ramp Inputs using Gamma Distribution Function
Moments of the impulse response are widely used for interconnect delay analysis, from the explicit Elmore delay (the first moment of the impulse response) expression, to moment matching methods which creates reduced order trans-impedance and transfer function approximations. However, the Elmore delay is fast becoming ineffective for deep submicron technologies, and reduced order transfer functi...
متن کاملA General Dynamic Function for the Basal Area of Individual Trees Derived from a Production Theoretically Motivated Autonomous Differential Equation
The management of forests may be motivated from production economic and environmental perspectives. The dynamically changing properties of trees affect environmental objectives and values of trees as raw material in the construction sector and in the energy sector. In order to optimize the management of forests, it is necessary to have access to reliable functions that predict how trees develop...
متن کامل