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AND8020D Datasheet(PDF) 4 Page - Analog Devices |
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AND8020D Datasheet(HTML) 4 Page - Analog Devices |
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4 / 18 page ![]() AND8020/D http://onsemi.com 4 SECTION 1. UNTERMINATED LINES R From transmission line theory, when the driver RE develops a DV swing, the signal propagates from point A arriving at point B at time Td later as shown in Figure 3. This configuration is also referred to as a stub or an open line. Figure 3. Unterminated Transmission Line Stub VEE T−Line Z0 AB Td RE At point B, the signal is reflected as a function of òL. If the input impedance of the receiving gate is large relative to the line characteristic impedance, according to Equation 4: òL + (RL * Z0) (RL ) Z0) (eq. 4) Where: òL = Load Reflection Coefficient RL = Load Impedance Z0 = Line Characteristic Impedance A large positive reflection occurs resulting in overshoot. The reflected signal reaches point A at time 2Td , and a large negative reflection results because the output impedance of the driver gate is much less than the line characteristic impedance (i.e. RO << Z0 ). When the reflected signal arrives at the source it is reflected back toward the load with a magnitude dictated by the source reflection coefficient: òS + (Rs * Z0) (Rs ) Z0) (eq. 5) Where: òS = Source Reflection Coefficient RL = Source Impedance Z0 = Line Characteristic Impedance The reflected signal continues to be reflected by the source and load impedances and is attenuated with each passage over the transmission line. The output response appears as a damped oscillation asymptotically approaching a steady state value. This phenomena is often referred to as “ringing.” The importance of minimizing the reflected signals lies in their adverse affect on noise margin and the potential for driving the input transistors of the succeeding stage into saturation. Both of these phenomena can lead to less than ideal system performance. To maximize signal integrity on transmission lines, four basic techniques are available: 1. Minimizing Interconnect Line Lengths (Section 1) 2. Parallel Termination (Sections 2 and 3) 3. Series Termination (Section 4) 4. Diode Termination (Section 5) Interconnect Line Lengths The output signal Waveform rise (tr) and fall (tf) time are measured from the 20% and 80% levels of the static signal levels. This edge rate represents the waveforms highest harmonic and determines the maximum unterminated open line trace length, Lmax, permissible without sustaining signal reflections. The impetus in restricting interconnect lengths, L, is to mitigate the effects of overshoot and undershoot. A handy rule of thumb is that the undershoot can be limited to less than 15% of the logic swing if the two way line delay is less than the rise time of the pulse. With an undershoot of <15%, the physics of the situation will result in an overshoot which will not cause saturation problems at the receiving input. Thus, the maximum line length can be determined: L max t tr 2*Tpd (eq. 6) Where: Lmax = Maximum Open Line Length tr = Signal Rise Time Tpd = Length Pulse Delay per Unit Length Further, the propagation delay increases with gate loading; thus, the effective delay per unit length (TpdEff) is given as: TpdEff + Tpd 1 ) CD L*CO (eq. 7) Where: Tpd = Length Pulse Delay per Unit Length CD = Distributed Capacitance CO = Capacitance per Unit Length (Foot) L = Line Length Using the effective delay per unit length, TpdEff, yields: tr y (2) (L) (Tpd ) 1 ) CD L*CO (eq. 8) Solving for Lmax line length produces: L max + 0.5 CD CO 2 ) tr tpd 2 * CD CO (eq. 9) Where: Lmax = Line Length Maximum CD = Distributed Capacitance CO = Capacitance per Unit Length (Foot) Tpd = Length Pulse Delay per Unit Length Assuming a worst case capacitance of 2 pF and a rise time of 100 ps for EP gives a value of 0.03 inch for the maximum open line length. Maximum open line lengths derived from SPICE simulations for single and double gate loads, a maximum overshoot of 40% and undershoot of 20% was assumed. The simulation results indicate that for a 50 W line, a stub length of x 0.03 inches will limit the overshoot to less than 40%, and the undershoot to within 20% of the logic swing. Signal traces will most assuredly be larger than 0.03 inch for most practical applications. Therefore, it will be necessary to use controlled impedance environments for EP devices in general and devices with faster edges. |
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