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On Apr 10, 4:21 am, "ilam" wrote:
I am in a process of understanding the importance of S-Parameter at high frequencies, please answer my following questions: 1. Why Measuring a wave (voltage or current) is more easier than volage and current? ( Why measuring S-Parameter is more easier than other parameters?) 2. How the voltage and current waves are measured? Measuring voltage and current are difficult at high frequncies, that is why S-Parameter is more useful at high frequncies. Is the same thing is true for simulation? Regards, Ilam Hewlett-Packard were one of the early proponents of using S-parameters for calculations as well as for measurements. HP had a vested interest, in that they were one of the first companies to make accurate instruments for measuring high frequencies, up into the microwaves. Part of that effort was customer education, and there are some good applications notes from HP about S-parameters, and about RF measurements in general. You should be able to find many of them on the internet, with a bit of searching. Some of them deal with accuracy, and in them you should find answers to your questions. You'll find a great deal more than just those answers. Measuring voltage or current at audio frequencies is easy enough. But how do you measure a current at 10GHz without disturbing and changing it? How do you accurately measure a voltage at that frequency, when the tiniest of capacitances will change the reading? But if instead you want to measure the standing wave ratio on an accurately-made piece of transmission line, that can be done relatively easily, and especially you can determine when the standing wave ratio goes to zero: when there is no variation in voltage along the length of the line. Then too, you can build a bridge circuit to enable measurements at a particular impedance. 50 ohms is convenient, though it's somewhat arbitrary. If you pick too high or too low an impedance, you run into the same difficulties as if you try to measure a voltage or a current, but at impedances between perhaps 20 ohms and 100 ohms, in a coaxial-line environment, you can build loads--resistors--that accurately terminate the line, and you can build a Wheatstone bridge circuit, essentially, that will tell you if you have a load that's the impedance of the bridge arms. The bridge is the most sensitive at balance, when all the arms are the same impedance. Also note that while it's very difficult to measure current or voltage accurately at high frequencies, if you can build a resistive load, then measuring power accurately is possible. When you are first starting, you can measure power by determining the temperature rise of a load resistor, which you made by trimming things carefully so that there were no standing waves on the precision line feeding that resistor. You can calibrate that quite accurately by feeding it DC power, to determine the temperature rise per watt. If you learn to make very tiny resistors and measure very smal temperature differences, you can make a thermal bridge that can detect power at a low level accurately. Let us know if you have trouble finding the HP applications notes...look for S-parameter notes, and look for notes on making accurate measurements with (vector) network analyzers. Also, do a search for information on the history of RF and microwave measurements. For simulation, it is simply convenient to work in the same domain as you make measurements. As you note, there are other parameter sets that give you equivalent information, and with modern computers, there is effectively no loss of accuracy if you deal in any other set of parameters used for 2-port (or N-port) networks. But do note, please, that these are linear parameters, and they won't give you information about nonlinearities, either ones you wanted as in frequency mixers or ones you didn't want, that cause unwanted distortion. Cheers, Tom |
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