Analysis of a Balanced Analog Multiplier for an Arbitrary Number of Signed Inputs

B. Hong and A. Hajimiri

We present an extension of the double-balanced current-commutating analog multiplier (also known as the Gilbert cell) that enables the multiplication of an arbitrary number of signed differential input voltages. A general analysis of the circuit for an arbitrary device nonlinearity is provided, and simulations on a bulk CMOS process as well as measurement results of a discrete bipolar implementation are reported.