Low-frequency noise is studied in resistive-switching memories based on metal–oxide polymer diodes. The noise spectral power follows a
behavior, with
in the ohmic region and with
at high bias beyond the ohmic region. The exponent
is explained as noise caused by Brownian motion or diffusion of defects which induce fluctuations in diode current. The figure of merit to classify
noise in thin films has an estimated value of
, which is typical for metals or doped semiconductors. This value in combination with the low diode current indicates that the
noise is generated in the narrow localized regions in the polymer between the contacts. The analysis unambiguously shows that the current in bistable nonvolatile memories is filamentary.