Digital Signal Processing Reference
In-Depth Information
9.5
Use the inductance and capacitance matrix from Problem 9.3 to find the
two worst-case propagation times.
9.6
Does the matrix in Problem 9.3 represent a microstrip or stripline?
9.7
A field solver produced the following output file for a two-trace system. Is
this the matrix for a stripline or microstrip?
L MATRIX [H/INCH]
1.052e-8
2.040e-9
2.040e-9
1.052e-8
C MATRIX [F/INCH]
2.835e-12
5.490e-13
5.490e-13
2.835e-12
9.8 Compare the results from (9.5) and (9.7) with (7.5) for the two-trace system
given in Problem 9.7. Assume that the dielectric constant is 4.0.
9.9 Use the matrices in Problem 9.3 to show how the coupling falls as the dis-
tance from a given trace increases. Also show that the traces are symmetrical.
9.10 What voltage will be launched down the transmission line described by the
matrix appearing in Problem 9.7, assuming that the ASIC I/O driver has an
output impedance of 25
and is connected to a 2.5-V supply? How does
the voltage change when the driver impedance is reduced to 10
Ω
?
9.11 Use the matrices in Problem 9.7 to show that incorrect results are obtained
when negative values are used for mutual capacitance when calculating the
even- and odd-mode delays and impedances.
Ω
References
[1]
Young, B., Digital Signal Integrity , Upper Saddle River, NJ: Prentice-Hall, 2001.
[2]
Paul, C. R., Analysis of Multiconductor Transmission Lines , New York: John Wiley &
Sons, 1994.
[3]
Baloglu, H. B., Circuits, Interconnections, and Packaging for VLSI , Reading, MA: Addi-
son-Wesley, 1990.
[4]
Johnson, D., et al., Basic Electric Circuit Analysis , 5th ed., Upper Saddle River, NJ: Pren-
tice-Hall, 1995.
[5]
Marx, K. D., “Propagation Modes, Equivalent Circuits, and Characteristic Terminations
for Multiconductor Transmission Lines with Inhomogeneous Dielectrics,” IEEE Transac-
tions on Microwave Theory and Techniques , Vol. MTT-21, No. 7, July 1973, pp. 450-457.
[6]
Trinogga, G., et al., Practical Microstrip Circuit Design , Upper Saddle River, NJ: Prentice-
Hall, 1991.
[7]
Matick, R., Transmission Line for Digital and Communication Networks , New York: Mc-
Graw-Hill, 1969.
[8]
Ramo, S., et al., Fields and Waves in Communication Electronics , 3rd ed., New York: John
Wiley & Sons, 1994.
[9]
Thierauf, S. C., High-Speed Circuit Board Signal Integrity , Norwood, MA: Artech House,
2004.
[10]
Montrose, M. I., Printed Circuit Board Design Techniques for EMC Compliance , New
York: IEEE Press, 1996.
 
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