Download Advanced signal integrity for high-speed digital designs by Stephen H. Hall PDF

By Stephen H. Hall

A synergistic method of sign integrity for high-speed electronic layout

This booklet is designed to supply modern readers with an knowing of the rising high-speed sign integrity matters which are growing roadblocks in electronic layout. Written by means of the key specialists at the topic, it leverages techniques and methods from non-related fields resembling utilized physics and microwave engineering and applies them to high-speed electronic design—creating the optimum blend among conception and sensible functions.

Following an creation to the significance of sign integrity, bankruptcy assurance comprises:

  • Electromagnetic basics for sign integrity
  • Transmission line basics

  • Crosstalk

  • Non-ideal conductor types, together with floor roughness and frequency-dependent inductance

  • Frequency-dependent houses of dielectrics

  • Differential signaling

  • Mathematical necessities of actual channels

  • S-parameters for electronic engineers

  • Non-ideal go back paths and through resonance

  • I/O circuits and types

  • Equalization

  • Modeling and budgeting of timing jitter and noise

  • approach research utilizing reaction floor modeling

each one bankruptcy comprises many figures and diverse examples to assist readers relate the suggestions to daily layout and concludes with difficulties for readers to check their knowing of the fabric. complex sign Integrity for High-Speed electronic Designs is appropriate 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 info for Advanced signal integrity for high-speed digital designs

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SOLUTION To solve this problem it is necessary to present the integral form of Amp`ere’s law for static fields: l B · dl = µ0 J · ds = i (2-26) S Switching to a cylindrical coordinate system, B = aφ Bφ and dl = aφ rdφ, yielding 2π 0 2πrBφ Bφ rdφ = =i µ0 µ0 iµ0 Bφ(r>a) = for r > a 2πr To calculate the magnetic field inside the conductor, only the amount of current passing through a percentage of the wire area must be considered. This is achieved by expressing the current in terms of an area ratio: 2π 2πrBφ πr 2 Bφ r dφ = =i 2 µ0 µ0 πa 0 iµ0 r Bφ(ra) Bf(r >a) Bf(r >a) Bf(r >a) Bf(r

For an electrostatic field, Amp`ere’s law is reduced to ∇ × E = 0 because the field does not vary with time. For any differentiable scalar function, the following vector identity holds true (from Appendix A): ∇ × ∇ψ = 0 Therefore, since ∇ × E = 0, E must be derivable from the gradient of a scalar function. Since (2-61) shows a relationship between the electrostatic potential and the electric field, a leap of logic says that the scalar function in the vector identity must be the electrostatic potential: ∇ × E = ∇ × (−∇ ) = 0 (2-66) Equation (2-65), known as the electrostatic scalar potential , is used often when solving electrostatic problems such as transmission-line impedance or calculating the effective dielectric constant of a microstrip, as we demonstrate in Chapter 3.

3. A plane wave is defined so that propagation occurs in only one direction (z) and the fields do not vary with time in the x- and y-directions. If the fields were observed at an instant in time, they would be constant in the x –y plane for any given point z and would change for different values of z or t. Figure 2-11 depicts a plane wave propagating in the z-direction. 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.

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