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 concerns which are developing roadblocks in electronic layout. Written by way of the key specialists at the topic, it leverages strategies and methods from non-related fields equivalent to utilized physics and microwave engineering and applies them to high-speed electronic design—creating the optimum mix among thought and sensible functions.
Following an creation to the significance of sign integrity, bankruptcy assurance comprises:
- Electromagnetic basics for sign integrity
Transmission line basics
Non-ideal conductor versions, together with floor roughness and frequency-dependent inductance
Frequency-dependent houses of dielectrics
Mathematical requisites of actual channels
S-parameters for electronic engineers
Non-ideal go back paths and through resonance
I/O circuits and versions
Modeling and budgeting of timing jitter and noise
process research utilizing reaction floor modeling
every one bankruptcy comprises many figures and various examples to aid readers relate the innovations to daily layout and concludes with difficulties for readers to check their realizing 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 clothier.
Read Online or Download Advanced signal integrity for high-speed digital designs PDF
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Additional resources for Advanced signal integrity for high-speed digital designs
Where J = 0 for a source-free medium and D = εE (for now, we assume that P = 0): ∂Hy ∂Ex ∂Hx ay − ax = 0 + ax ε ∂z ∂z ∂t Grouping into vector components yields ∂Hy ∂Ex = ax ε ∂z ∂t ∂Hx ay =0 ∂z −ax The nonzero components of the equations above can be grouped to see the contributions in both the x- and y-directions. ay ∂Hy ∂Ex = −µ ∂z ∂t (2-29) ∂Hy ∂Ex =− ∂t ∂z (2-30) ax ε Equations (2-29) and (2-30) symbolize an important concept used throughout signal integrity analysis, which is that the electric and magnetic fields are orthogonal and there are no components in the z-direction.
If we assume that the voltage is constant over each conductor, the potential difference (voltage) between them is calculated as b v(b) − v(a) = − E · dl V (2-58) a We show that E is proportional to Q: E = ar Er = Q 4πε0 r 2 V/m (2-60) Since E is proportional to both Q and v, we can define a constant of proportionality that relates Q and v. The constant of proportionality is defined to be the capacitance: Q C≡ farads (2-76) v where Q is the total charge in coulombs and v is the voltage potential between the conductors, given in units of farads, defined as 1 coulomb per volt.
In other words, there are more flux lines emanating from the closed surface than are entering it, meaning that a source of the field must exist inside the test region. An understanding of the meaning of divergence allows us to gain some insight into Gauss’s laws: ∇ ·D =ρ (Gauss’s law) (2-3) ∇ ·B =0 (Gauss’s law for magnetism) (2-4) Note that the divergence of D, which equals ε E, is nonzero and equal to the charge density, which implies that the source of the electric field is an electrical charge.
Advanced signal integrity for high-speed digital designs by Stephen H. Hall