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In Polarization Discrimination Imaging, the amplitude of a sinusoid from arotating analyzer, representing residual polarized light and carryinginformation on the object, is detected with the help of a lock-in amplifier.When turbidity increases beyond a level, the lock-in amplifier fails to detectthe weak sinusoidal component in the transmitted light. In this work we haveemployed the principle of Stochastic Resonance and used a 3-level quantizer todetect the amplitude of the sinusoids, which was not detectable with a lock-inamplifier. In using the three level quantizer we have employed three differentapproaches to extract the amplitude of the weak sinusoids: (a) using theprobability of the quantized output to crossover a certain threshold in thequantizer (b) maximizing the likelihood function for the quantized detectedintensity data and (c) arriving at an expression for the expected power in thedetected output and comparing it with the experimentally measured power. Wehave proven these non-linear estimation methods by detecting the hidden objectfrom experimental data from a polarization discrimination imaging system. Whenthe turbidity increased to L/l = 5.05 (l is the transport mean-free-path and Lis the thickness of the turbid medium) the data through analysis by theproposed methods revealed the presence of the object from the estimatedamplitudes. This was not possible by using only the lock-in amplifier system.

Polarization Discrimination Imaging of objects hidden in turbid media: Detection of weak sinusoids through Stochastic Resonance