Distortions caused by the DC-biased laser input can be modeled as DC biased Gaussian noise and removing DC bias is important in
the demodulation process of the electrical signal in most optical communications. In this paper, a new performance criterion and a
related algorithm for unsupervised equalization are proposed for communication systems in the environment of channel distortions
and DC biased Gaussian noise. The proposed criterion utilizes the Euclidean distance between the Dirac-delta function located at zero
on the error axis and a probability density function of biased constant modulus errors, where constant modulus error is defined by the
difference between the system out and a constant modulus calculated from the transmitted symbol points. From the results obtained
from the simulation under channel models with fading and DC bias noise abruptly added to background Gaussian noise, the proposed
algorithm converges rapidly even after the interruption of DC bias proving that the proposed criterion can be effectively applied to
optical communication systems corrupted by channel distortions and DC bias noise.
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