PHYSICAL DESIGN AND DEBUGGING

The following sections discuss the negative effects of a transmission line that occur when operating at higher frequencies. In higher frequency design the reflection and cross talk effects are inevitable; it is impossible to design optimum systems without accounting for these effects. Later sections include a discussion of techniques that can minimize these

effects.

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11.4.1 Transmission Line Effects

As a general rule, any interconnection is considered to be a transmission line when the time required for the signal to travel the length of the interconnection is greater than one-eighth of the signal rise time (True K.M., "Reflection: Computations and Waveforms, The Interface Handbook, " Fairchild Corp., Mountain View, CA., 1975, Ch. 3). The rise time can be either rise time or fall time, whichever is smaller, and it corresponds to the linear ramp amplitude from 0% to 100%. Normally the rise times are specified between 10% to 90% or 20% to 80% amplitude points. The respective values are multiplied by 1.25 or 1.67 to obtain the linear-ramp duration from 0% to 100% amplitude.

For example in a PCB using G-lO and polymide (the two main dielectric systems avail- able for printed circuit boards) signals travel .at approximately 5 to 6 inches per nanosecond (ns).

If trv/l < 8 then the signal path is not a transmission line but it is a lumped element (True K.M., "Reflection: Computations and Waveforms, The Interface Handbook," Fair- child Corp., Mountain View, CA., 1975, Ch. 3).

where

tr = rise time 0%-100%

v= speed of propagation (5 to 6 inches/sec) I = length of interconnection (one-way only)

The calculation is given by:

6t,/1 ::;; 8 so I ~ 6trl8 = (6x4X 1.67)/8 = 5.01 inches

This calculation is based on the fact that the maximum rise time of the signals for the Intel386 DX processor is 4 ns. For I > =5.01 inches, interconnections will act as trans- mission lines.

Every conductor that carries an AC signal and acts as a transmission line has a distrib- uted resistance, an inductance and a capacitance which combine to produce the charac- teristic impedance (ZO). The value of ZO depends upon physical attributes such as cross- sectional area, the distance between the conductors and other ground or signal conductors, and the dielectric constant of the material between them. Because the char- acteristic impedance is reactive, its effect increases with frequency.

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Intel 386 manual Transmission Line Effects