This paper proposes a recursive single-input single-output (SISO) impedance modeling framework for single-phase voltage source rectifiers, which can greatly simplify both the modeling procedure and the resulting impedance model. During the modeling process, frequency-coupling effects are modeled by the reduced-order transfer function vector rather than the transfer function matrix, so the modeling complexity is reduced. Moreover, the recursive SISO impedance model has an analytical form. And the recursive SISO impedance model can characterize the frequency-coupling dynamics of arbitrary order with a low computation burden. Experiments validate the accuracy of the recursive SISO impedance modeling.