This brief introduces a compact S-parameter model of the two-port 90° N-Path circuit within the vicinity of the clock frequency. Transfer and reflection coefficients, which manifest the circuit filtering properties and the non-reciprocal phase shifting, are derived for a circuit that utilizes ideal switches and then extended to account for transistor parasitics. New simplified equations for parasitic phase and frequency shifts, which are of interest in the design of circuits such as electronic circulators, are proposed.

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