Because a diode's voltage drop is relatively independent of the current through it, its effective impedance is a negative function of the current through it, and it is dependent on the circuit voltage. Because the signal is a sine wave, the instantaneous impedance of the diodes is changing constantly. Also, when the signal voltage drops below 1.5 V, the diodes stop conducting, basically jumping to an infinite impedance. So the circuit impedance is not a simple equation.
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