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Wireless Essentials



            42  Chapter One



































                        Figure 1.52 A *.S2P S-parameter file at a set bias condition and at assorted frequencies. Lines
                        preceded by ! are comments for the user and are ignored by the simulation programs.

                        of a device’s natural internal parasitic distributed capacitances and induc-
                        tances and the problems that occur as the wavelength of the RF signal
                        becomes a significant portion of the size of the physical components. Both
                        will have a significant effect on the device’s true RF behavior.
                          S parameters are described by S , S , S , and S . S is the forward trans-
                                                        21  12  11      22  21
                        mission coefficient (representing the stage gain); S  is the reverse transmis-
                                                                        12
                        sion coefficient (representing the reverse gain, or isolation); S  is the input
                                                                                   11
                        reflection coefficient (representing the input return loss); and S is the output
                                                                                   22
                        reflection coefficient (representing the output return loss). Figure 1.53 com-
                        bines all of these S parameters into the gains and reflections of a single black
                        box for a simplified graphical description.
                          Basically, S parameters are voltage ratios referenced to 50 ohms, since a
                        voltage comparison is all that need be obtained to find any S parameter at the
                        same impedance. But a complete S parameter is a vector quantity, taking into
                        account not only the magnitude, but also the phase. The vector quantity allows
                        the analysis of stability and complex impedances while both ports of the device
                        are terminated in 50 ohms. Considering that S parameters are the voltage
                        ratio of a port input potential to the reflected potential, or of the input poten-
                        tial to the output potential, it can be seen that any device can easily be accu-
                        rately characterized for any RF circuit.


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