By Stephen H. Hall
A synergistic method of sign integrity for high-speed electronic layout
This e-book is designed to supply modern readers with an realizing of the rising high-speed sign integrity matters which are growing roadblocks in electronic layout. Written through the main specialists at the topic, it leverages ideas and methods from non-related fields similar to utilized physics and microwave engineering and applies them to high-speed electronic design—creating the optimum mixture among idea and useful purposes.
Following an creation to the significance of sign integrity, bankruptcy assurance comprises:
- Electromagnetic basics for sign integrity
Transmission line basics
Non-ideal conductor types, together with floor roughness and frequency-dependent inductance
Frequency-dependent homes of dielectrics
Mathematical specifications of actual channels
S-parameters for electronic engineers
Non-ideal go back paths and through resonance
I/O circuits and types
Modeling and budgeting of timing jitter and noise
process research utilizing reaction floor modeling
every one bankruptcy comprises many figures and diverse examples to aid readers relate the ideas to daily layout and concludes with difficulties for readers to check their figuring out of the cloth. complicated sign Integrity for High-Speed electronic Designs is acceptable as a textbook for graduate-level classes on sign integrity, for courses taught in for pro engineers, and as a reference for the high-speed electronic dressmaker.
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Extra resources for Advanced signal integrity for high-speed digital designs
Suppose that a wire contains electric charges of density ρ(C/m3 ) in a region and the charges have a velocity ν(m/s). The current density in the region is calculated as J = ρ ν A/m2 (2-18) the instantaneous rate of charge flow per unit cross-sectional area at point P in space. , the cross section of the wire) is the sum of all the current density functions within the area of the surface times the surface area. This calculates the total number of vectors ( J ) passing though the cross-sectional surface S of the wire, which is flux.
Floop = I2 I 1 µ0 2π C az dz × B ay + b A −az dz × D ay a From the right-hand rule, the cross products are as follows: az × ay = −ax −az × ay = ax Therefore, the force is reduced to Floop = I2 I 1 µ0 1 1 −ax (B − C) + ax (D − A) 2π b a Since segments BC = DA, we can call this length d: Floop = ax I2 I 1 µ0 d 2π 1 1 − a b Therefore, the loop will be pushed away from the wire in the direction of ax . Note that the magnetic force has caused the wire loop to move. Since work is force × distance, it would be easy to conclude that the magnetic force has performed work.
To study the behavior of time-harmonic plane waves, it is necessary to re-derive the wave equation from the time-harmonic form of Maxwell’s x Direction of propagation z y Figure 2-11 Plane wave propagating in the z -direction. 1. Again, assume a source-free, linear, homogeneous medium: ∇ × (∇ × E) = −j ωµ(∇ × H ) The formula can be further simplified by using the following vector identity (Appendix A): ∇ × (∇ × E) = ∇(∇ · E) − ∇ 2 E Since we have assumed a source-free medium, the charge density is zero (ρ = 0) and Gauss’s law reduces to ∇ · E = 0, yielding ∇ 2 E + j 2 ω2 µεE = ∇ 2 E − ω2 µεE = 0 (2-38) Substituting γ 2 = ω2 µε yields ∇ 2E − γ 2E = 0 (2-39) which is the time-harmonic plane-wave equation for the electric field, where γ is known as the propagation constant.
Advanced signal integrity for high-speed digital designs by Stephen H. Hall