Four-drop bus with matched response

Abstract

A four-drop bus has each driver or receiver terminated at the characteristic impedance of Z0. Each driver or receiver is connected to a segment of transmission line with a characteristic impedance of Z0. Two of these segments are connected at a first point. The other two of these segments are connected at a second point. The first and second points are connected by a central transmission line with a characteristic impedance of Z0/2.

Description

FIELD OF THE INVENTION

This invention relates generally to data communication and more particularly to a transmission line structure for bi-directional communication between four sources/receivers.

BACKGROUND OF THE INVENTION

In many communication systems, such as digital data sent between integrated circuits, a driver send electrical waveforms to a receiver. To accomplish this, the signal may have to propagate through a series of transmission lines. To minimize reflections, these transmission lines are often constructed such that their characteristic impedance (Z 0 ) is the same as the driver impedance, the receiver impedance, or both. For high-speed connections, it is desirable for the driver, receiver, and the transmission line to all have the same impedance. This helps produce a system where there are no reflections on the transmission line or its ends. For the simplest case of one driver connected to one receiver, matching the driver and receiver and transmission line is quite simple.

Unfortunately, where a driver sends a signal along a transmission line to several receivers (or integrated circuits), producing a system with no reflections becomes more difficult. These systems (or busses) are typically called multi-drop busses.

Multi-drop busses typically generate multiple reflections because of impedance mismatches at each transmission line branch or each receiver. These multiple reflections can combine in complex ways thereby making design of the whole system difficult and complex. Often, a design that has to deal with these multiple reflections will require segments of transmission lines with many different characteristic impedances. This further complicates the design and layout of the system.

SUMMARY OF THE INVENTION

A four-drop bus has each driver or receiver terminated at the characteristic impedance of Z 0 . Each driver or receiver is connected to a segment of transmission line with a characteristic impedance of Z 0 . Two of these segments are connected at a first point. The other two of these segments are connected at a second point. The first and second points are connected by a central transmission line with a characteristic impedance of Z 0 /2.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is an illustration of a four-drop bus with matched response.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

In FIG. 1 , transmission line 101 has a characteristic impedance of one-half times Z 0 . This may also be written as Z 0 / 2 . Z 0 is an arbitrary characteristic impedance value that may be chosen with great latitude by the designer of the board or system by adjusting various board design parameters such as trace width, trace spacing, board layer thickness, etc., to fit a variety of constraints such as manufacturability, space, cost, or similarity to other impedances such as a driver impedance or termination impedance. Likewise, creating a transmission line with an impedance of Z 0 / 2 can be done by adjusting various board design parameters such as trace width, trace spacing, board layer thickness, etc. Another way to create a transmission line of Z 0 / 2 is to connect two transmission lines with characteristic impedance of Z 0 in parallel. Transmission line 101 ends at interface node 130 on one end and interface node 131 on the other. Transmission line 101 may also be referred to as the central transmission line.

Connected to transmission line 101 at interface node 130 is transmission line 102 and transmission line 103 . Transmission lines 102 and 103 both have a characteristic impedance of Z 0 . The other end of transmission line 102 , node 150 , is connected to termination impedance 110 and receiver 120 . The other end of transmission line 103 , node 151 , is connected to termination impedance 111 and receiver 121 . The other terminal of termination impedance 110 and 111 are shown connected to drivers 140 and 141 , respectively.

Connected to transmission line 101 at interface node 131 is transmission line 104 and transmission line 105 . Transmission lines 104 and 105 both have a characteristic impedance of Z 0 . The other end of transmission line 104 , node 152 , is connected to termination impedance 112 and receiver 122 . The other end of transmission line 105 , node 153 , is connected to termination impedance 113 and receiver 123 . The other terminal of termination impedance 112 and 113 are shown connected to drivers 142 and 143 , respectively.

Alternatively, drivers 140 , 141 , 142 , 143 may, in any combination, be replaced by a low impedance voltage source such as a power supply voltage or a termination supply voltage. Also, drivers 140 , 141 , 142 , 143 may be controlled to always be driving a low impedance voltage or may themselves be controlled impedance drivers. In the case where drivers 140 , 141 , 142 , 143 are controlled impedance drivers, termination impedances 110 , 111 , 112 , 113 may not be needed.

Transmission lines 101 , 102 , 103 , 104 , and 105 may be of different and arbitrary lengths or delays. Assuming that drivers 140 , 141 , 142 , 143 have sufficiently low impedance, termination impedances 110 , 111 , 112 , and 113 are preferably chosen to match the characteristic impedance Z 0 . If drivers 140 , 141 , 142 , 143 are controlled impedance drivers, the controlled impedance of these drivers would preferably be chosen to match the characteristic impedance Z 0 .

Using the four-drop bus shown in FIG. 1 will result in reflections that are the same independent of which driver 140 , 141 , 142 , 143 is driving and which receiver 120 , 121 , 122 , 123 is receiving. For example, if driver 140 drives a low impedance step voltage from zero to V in , all the termination resistors have an impedance of Z 0 , and drivers 141 , 142 , 143 are at a low impedance state to a termination supply, then the voltage at node 150 is a step from zero to V in /2. This step waveform propagates through transmission line 102 until it reaches interface node 130 . At interface node 130 , the load seen by transmission line 102 is equivalent to the characteristic impedance of transmission line 101 in parallel with transmission line 103 . This equivalent impedance is Z 0 /3. Calculating the reflection coefficient for this equivalent load yields: $$ Γ = 1 3 ⁢ Z 0 - Z 0 1 3 ⁢ Z 0 + Z 0 = - 1 2

Therefore, a step of −V in /4 will be reflected back down transmission line 102 toward node 150 and a step of V in /4 will be transmitted down transmission lines 103 and 101 . The wave reflected back down transmission line 102 is absorbed by the matched termination impedance 110 so this wave is not reflected at node 150 . Accordingly, node 150 has a final voltage of V in /4. Likewise, the V in /4 wave propagated down transmission line 103 is absorbed by the matched termination impedance 111 so this wave is not reflected at node 151 . Accordingly, node 151 has a final voltage of V in /4.

The V in /4 wave propagated down transmission line 101 eventually reaches interface node 131 . At interface node 131 , the load seen by transmission line 101 is equivalent to the characteristic impedance of transmission line 104 in parallel with transmission line 105 . This equivalent impedance is Z 0 /2. Calculating the reflection coefficient for this equivalent load yields: $$ Γ = 1 2 ⁢ Z 0 - 1 2 ⁢ Z 0 1 2 ⁢ Z 0 + 1 2 ⁢ Z 0 = 0

Accordingly, there is no reflection at interface node 131 and step waves of V in /4 are propagated down transmission lines 104 and 105 . The V in /4 waves propagated down transmission lines 104 and 105 are absorbed by the matched termination impedances 112 and 113 , respectively, so these waves are not reflected at nodes 152 or 153 . Accordingly, nodes 152 and 153 both have a final voltages of V in /4.

Note that even though the voltage at each node is not the full swing voltage of V in , the voltage at each receiver node is the same and no reflections are observed at the receivers. This reduces the complexity of the system design and bus timing. Also note that this exercise could be conducted by driving the input waveform from any of the drivers 140 , 141 , 142 , or 143 and the outcome of a final voltage of V in /4 at each of nodes 150 , 151 , 152 , or 153 would result.

Finally, note that due to design constraints or manufacturing process issues, the characteristic impedances of the transmission lines 101 , 102 , 103 , 104 , and 105 the termination impedances 110 , 111 , 112 , and 113 may not be their exactly specified values of Z 0 or Z 0 /2. However, it should be sufficient that these impedances be approximately their specified values. A range of plus or minus 10% should be sufficiently approximate to satisfy most bus design requirements and still have sufficiently small reflections and final voltages that are sufficiently close to V in /4 for most applications.

Claims

1. A four-drop bus, comprising:a central transmission line having a first characteristic impedance, a first end and a second end; a first pair of transmission lines having approximately twice said first characteristic impedance and connected to said first end, each of said first pair of transmission lines terminated by termination impedances that approximate twice said first characteristic impedance; and, a second pair of transmission lines having approximately twice said first characteristic impedance and connected to said second end, each of said second pair of transmission lines terminated by termination impedances that approximate twice said first characteristic impedance.

2. The four-drop bus of claim 1 wherein at least one termination impedance is connected to a driver.

3. The four-drop bus of claim 1 wherein at least one termination impedance is a controlled impedance driver.

4. The four-drop bus of claim 1 wherein at least one termination impedance is connected to a low impedance supply voltage.

5. The four-drop bus of claim 1 wherein said central transmission line comprises two transmission lines connected in parallel.

6. A four-drop bus, comprising:a first transmission line being driven by a first impedance with a first impedance value at a first end and connected to a second transmission line and a third transmission line at a second end; said second transmission line being connected to said first transmission line at a first end and terminated at a second end by a second impedance with approximately said first impedance value; said third transmission line being connected to said first transmission line at a first end and connected at a second end to a fourth transmission line and a fifth transmission line; said fourth transmission line being connected to said third transmission line at a first end and terminated at a second end by a third impedance with approximately said first impedance value; said fifth transmission line being connected to said third transmission line at a first end and terminated at a second end by a fourth impedance with approximately said first impedance value; and, wherein said first, second, fourth and fifth transmission lines have characteristic impedances that approximate said first impedance value and said third transmission line has a characteristic impedance that approximates one-half said first impedance value.

7. The four-drop bus of claim 6 wherein at least one of said second, fourth, and fifth transmission line is terminated by said second, third, and fourth impedance, respectively, connected to a driver.

8. The four-drop bus of claim 6 wherein at least one of said second, fourth, and fifth transmission line is terminated by a controlled impedance driver.

9. The four-drop bus of claim 6 wherein at least one of said second, fourth, and fifth transmission line is terminated by said second, third, and fourth impedance, respectively, connected to a low impedance supply voltage.

10. The four-drop bus of claim 6 wherein said third transmission line comprises two transmission lines connected in parallel.

11. A bus for connection to four devices, comprising:four termination impedances each connected to one of four transmission lines at a first end, a second end of a first two of said four transmission lines connected to a central transmission line at a first end of said central transmission line, and a second end of a second two of said four transmission lines connected to said central transmission line at a second end of said central transmission line; and, wherein said four termination impedances and a characteristic impedance of said four transmission lines are approximately a first characteristic impedance value and said central transmission line has a central characteristic impedance that is approximately one-half said first characteristic impedance value of said four transmission lines.

12. The bus for connection to four devices of claim 11 wherein at least one of said four termination impedances is connected to a driver.

13. The bus for connection to four devices of claim 11 wherein at least one of said four termination impedances is a controlled impedance driver.

14. The bus for connection to four devices of claim 11 wherein at least one of the four termination impedances is connected to a low impedance supply voltage.

15. The bus for connection to four devices of claim 11 wherein said central transmission line comprises two transmission lines connected in parallel.

16. A method of propagating a signal to three receivers, comprising:propagating a signal into a first end of a first transmission line having a characteristic impedance through a drive impedance wherein said drive impedance approximates said first characteristic impedance; propagating said signal from a second end of said first transmission line into a first end of a second transmission line having approximately said characteristic impedance and a first end of a central transmission line having approximately one-half said characteristic impedance; absorbing said signal at a second end of said second transmission line with an impedance that approximates said characteristic impedance; propagating said signal from a second end of said central transmission line into a first end of a third transmission line having approximately said characteristic impedance and a first end of a fourth transmission line having approximately said characteristic impedance; absorbing said signal at a second end of said third transmission line with an impedance that approximates said characteristic impedance; absorbing said signal at a second end of said fourth transmission line with an impedance that approximates said characteristic impedance; and, detecting a voltage at said second end of said second, third, and fourth transmission lines.

17. The method of claim 16 wherein said step of propagating said signal into said first end of said central transmission line comprises propagating said signal into a first end of a first central transmission line and a first end of a second central transmission line and said step of propagating said signal from said second end of said central transmission line comprises propagating said signal from a second end of said first central transmission line and a second end of said second central transmission line.