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Transmission line time domain equivalent macro model generation method based on delay extraction

A transmission line and macro model technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as weak robustness of iterative calculations, inapplicability to large-scale circuit systems, high computational complexity, etc., to save calculations Cost, improvement of time domain simulation efficiency, effect of scale reduction

Pending Publication Date: 2022-03-11
TONGJI UNIV
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Problems solved by technology

However, solving the singular value requires Cholesky decomposition of the observable and controllable matrix, and solving the system Gramma matrix, which has high computational complexity and weak iterative calculation robustness, and is not suitable for large-scale circuit systems. It is often used to deal with high-order control system models.

Method used

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  • Transmission line time domain equivalent macro model generation method based on delay extraction
  • Transmission line time domain equivalent macro model generation method based on delay extraction
  • Transmission line time domain equivalent macro model generation method based on delay extraction

Examples

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example 1

[0113] Example 1: The transmission line system is composed of a single-conductor transmission line, and its input signal and external devices are as follows: figure 2 shown. The value of the resistance R1 at the input end is 30 ohms, and the capacitance value of the terminal capacitor C2 is 1.5 pF. The input signal is a step signal with a rise time of 200ps.

[0114] The input unit length argument is expressed in scientific notation as:

[0115] R=8.5646

[0116] L=4.7876e-009

[0117] C=2.24e-12

[0118] G=0 (1.23)

[0119] According to the above-mentioned input parameters, perform specific numerical calculations according to the implementation steps.

[0120] In step (a), the first 20 order poles are calculated, and the error convergence condition is satisfied at this time, so the calculation is stopped. The calculation results of the first 20 order poles are as follows: image 3 shown.

[0121] Step (b), construct the high-frequency response poles in formula (1.13...

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Abstract

The invention discloses a transmission line time domain equivalent macro model generation method based on delay extraction, which is used for performing frequency domain and time domain simulation on a high-speed interconnection line. The method comprises the following specific steps: (a) establishing a frequency domain mathematical model in a transmission line impedance form based on given unit length parameters such as a resistor R, an inductor L, a capacitor C and a conductance G; calculating the m-order pole and residue of the low-frequency band, and continuously adjusting the value of m according to a given error threshold value delta until an error condition is met; (b) on the basis of the pole residue calculated in the step (a), constructing an approximate expression of high-frequency-band impedance response, discretizing the signal, converting the signal into a frequency domain pure delay term, and completing delay explicit extraction; and (c) based on calculation results in the step (a) and the step (b), obtaining a frequency domain state space model of the transmission line after optimization, and generating a corresponding time domain equivalent circuit netlist.

Description

technical field [0001] The invention belongs to the field of integrated circuits, and in particular relates to a method for generating a time-domain equivalent macro model of a transmission line under computer-aided design. Background technique [0002] The transmission line is mainly responsible for connecting devices and signal transmission. In order to accurately simulate the behavior of the transmission line, a series of effects brought by the transmission line must be considered: delay, crosstalk, ringing effect, etc. With the increase in the system clock frequency and scale complexity of integrated circuits, the requirements for accurate simulation modeling of high-speed transmission lines are gradually increasing to ensure the reliability and signal integrity of the entire system. An unreliable transmission line design can adversely affect overall system performance. Traditional SPICE simulation tools can provide accurate simulation results for reference in the early...

Claims

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Application Information

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IPC IPC(8): G06F30/18G06F30/367G06F30/373
CPCG06F30/18G06F30/373G06F30/367
Inventor 童美松王星宇
Owner TONGJI UNIV
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