TOPICS IN HIGH-SPEED CHANNEL MODELING - Advanced Signal Integrity for High-Speed Digital Design - page 438

PROBLEMS
10-1 For a transmission line in a bus specified to operate at 10 Gb/s with 50-ps
rise and fall times, how high in frequency should the tabular model be
constructed?
10-2 Derive an analytical formula to approximate the inductance and capac-
itance of a via. ( Hint: Use the transmission-line techniques detained in
Chapter 3.)
10-3 Derive the S -parameters directly from a tabular RLCG model. ( Hint:
Remember the telegrapher's equations?)
10-4 Derive the characteristic impedance for a parallel-plate waveguide with a
width of w .
10-5 Create a model to estimate the crosstalk between two differential pairs
traversing a slot in the ground plane.
10-6 For an 8-bit-wide bus crossing a slot in the ground plane, what techniques
can be used to minimize the nonideal return paths? Create a model for
each option and simulate it in SPICE to demonstrate.
10-7 Can the slot be used as a bus? If so, what would the architecture and
topology look like? What would the advantages of this type of bus be?
Create a model of the bus and simulate the pulse response.
10-8 Approximate the voltage across a via 1 in. away if E and H are launched
in the TEM mode. ( Hint: E · dl .)