For a comprehensive answer to this question, see the Mixer Basics Primer. The triple balanced mixer is best thought of as a “doubly-double balanced” mixer in which two double balanced mixers are driven in a push-pull configuration. Thus, the primary difference between the double balanced and triple mixer is that the double balanced mixer uses 4 nonlinear elements (i.e. diodes) while the triple balanced mixer uses 8 nonlinear elements (i.e. 2 double balanced mixers with 4 diodes each). In general, a double balanced mixer cannot have (significantly) overlapping IF and RF/LO bands due to the circuitry involved. Therefore, a typical Marki Microwave double balanced mixer such as the ML1-1644 has RF/LO bands ranging from 2-12 GHz and an IF band from DC-2 GHz. A triple balanced mixer (denoted by the Marki M2 and T3 mixer lines) can have overlapping RF/LO and IF bands at the expense of requiring an additional diode quad. Triple balanced mixers also generally do not have DC IF response and tend to have slightly worse isolation performance compared to double balanced mixes.
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