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We propose a method of approximation using a rational polynomial of s for the subglottal impedance of the model of Fredberg and Hoenig, and of realization of an ARMA filter model of the subglottal system. We employ the data of the structure and size of branching network of the subglottal system, and adjust the data for Japanese adults using the MRI data of the trachea. Our subglottal model can be adjusted to the circuit model of the vocal tract with the glottal impedance. Using the model with the dummy section, we show the relation between the circuit model and forward/backward waves at the glottis.