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but it seems that the conversion function is equal to the gilbert mixer. So the circuit has no inherent gain making it difficult to isolate the switching noise effects. The quadrature is equal to 2 gilbert mixers driven in quadrature.
The noise advantage is correct because in gilbert cell mixer because of the +1/-1 switching function half of the signal current is translated to double the LO frequency. Here all signal current is used to charge the IF cap. That translate into 6dB less gain requirement before the Tayloe mixer to have an equal noise figure contribution.
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