Twisted Differential Line Research Articles

Degeneracy loci of twisted differential forms and linear line complexes

We prove that the Hilbert scheme of degeneracy loci of pairs of global sections of Omega(2), the twisted cotangent bundle on P^(n-1), is unirational and dominated by the Grassmannian of lines in the projective space of skew-symmetric forms over a vector space of dimension n. We provide a constructive method to find the fibers of the dominant map. In classical terminology, this amounts to giving a method to realize all the pencils of linear line complexes having a prescribed set of centers. In particular, we show that the previous map is birational when n=4.

Mix-Mode S Parameters Analysis of Crosstalk for Twisted Differential Line on PCB

In this paper, twisted differential lines on multi-layer PCB is modeled with 3D Full-wave EM tool, and crosstalk is analyzed based on mix-mode S parameters. It is compared with traditional differential microstrip line. Then the simulation results demonstrate that twisted differential lines on multi-layer PCB can enhance immunity against crosstalk .

Twisted Differential Transmission Line Structure for Global Interconnect in Si LSI

This paper investigates the twisted differential transmission line structure to achieve high-speed signal transmission and electromagnetic interference (EMI) noise reduction of global interconnects in Si LSIs. The differential transmission line in Si LSIs can transmit a 12 Gbps pulse signal and has the capability of reducing EMI noise. The proposed twisted-diagonal-pair line provides high-speed, low-EMI-noise, high-crosstalk-robustness and high-density global interconnects in Si LSIs.

Twisted differential line structure on high-speed printed circuit boards to reduce crosstalk and radiated emission

Differential signaling has become a popular choice for high-speed digital interconnection schemes on printed circuit boards (PCBs), offering superior immunity to crosstalk and external noise. However, conventional differential lines on PCBs still have unsolved problems, such as crosstalk and radiated emission. When more than two differential pairs run in parallel, a line is coupled to the line adjacent to it because all the lines are parallel in a fixed order. Accordingly, the two lines that constitute a differential pair are subject to the differential-mode crosstalk that cannot be canceled out by virtue of the differential signaling. To overcome this, we propose a twisted differential line (TDL) structure on a high-speed multilayer PCB by using a concept similar to a twisted pair in a cable interconnection. It has been successfully demonstrated by measurement and simulation that the TDL is subject to much lower crosstalk and achieves a 13-dB suppression of radiated emission, even when supporting a 3-Gb/s data rate.

A new twisted differential line structure on high-speed printed circuit boards to enhance immunity to crosstalk and external noise

Differential signaling has become a popular choice for high-speed interconnection schemes on Printed Circuit Boards (PCBs), offering superior immunity to external noise. However, conventional differential transmission lines on PCBs have problems, such as crosstalk and radiated emission. To overcome these, we propose a Twisted Differential Line (TDL) structure on a multilayer PCB. Its improved immunity to crosstalk noise and the reduced radiated emission has been successfully demonstrated by measurement. The proposed structure is proven to transmit 3 Gbps digital signals with a clear eye-pattern. Furthermore, it is subject to much less crosstalk noise and achieves a 13 dB suppression of radiated emission.