Abstract

A study of the stability of periodically driven nonlinear networks (mixers), motivated by recent work on low-noise down-conversion with Schottky barrier diodes, is presented. Necessary and sufficient conditions for the unconditional stability of a mixer are derived and discussed. It is shown that potential instability is always associated with the jump phenomenon in the sense that a mixer will (under suitable circumstances) exhibit the phenomenon if, and only if, the above stability conditions are violated. Application of these conditions to frequency multipliers is also discussed.

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