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Extra resources for Analysis and Design of Analog Integrated Circuits. Solutions
10. 5 GHz 1 2 1 2 PORT 4 V "BFP405" P=4 Z=50 Ohm GPROBE uses the principles of the S-probe concept mentioned earlier. 5 RF circuit stability considerations 45 frequencies, so we need to create a visual image of mirror-symmetry about the frequency (x-) axis. 33(a)]. The test assures us that the circuit will not oscillate under this set of operating conditions—with 50-Ω terminations.
14 UP, the computed maximum neutralized gain, is a theoretical figure. It assumes that a two-port is first neutralized and then matched at both ports. It should not be confused with GUMAX, which is computed under the unilateral assumption, simply setting |s12| to zero. 21) where K, commonly called the stability K-factor, is a frequency-dependent function of the two-port S-parameters. 1. 22) Since feedback-type oscillation requires greater-than-unity gain from the active device, in addition to fMAX being the highest theoretical frequency for amplification, it is also the limit for oscillation; fT, the frequency where the computed short-circuited current-gain of a bipolar transistor drops to unity value, is generally not used in S-parameter design other than for comparing it with other devices.
19, if the loop-gain (the product of two interfacing reflection coefficients) exceeds unity, while the two phase angles cancel each other (or are multiples of 360º). 24) and the phase angle is At the frequency where the above two conditions are met, the magnitude of noise rapidly increases and eventually forces the active device into its large-signal mode. At that point, ΓIN begins to change, and the nature of how that change takes place determines whether steady-state oscillation will be reached or not.