Mapping of Correlation Filter Values Optimized to Phase Constrained Spatial Light Modulators

Correlation filters (CFs) are designed for pattern recognition tasks, taking into account the implementation of possibilities of available spatial light modulators (SLMs). Commercially available SLMs have the amplitude and phase responses that cannot be independently controlled. Furthermore, the phase modulation curves of such SLMs generally cannot cover the desired (0, 2π) interval. Therefore, previous filter designs include the SLM contraints as starting point for designing the CFs. Here we start with previously designed and calculated CFs and propose an optimum mapping of such CF values to the values constrained by the modulation properties of arbitrary SLM, in order to achieve a maximum intensity of the output correlation peak. Optimization procedure, achieved by the variation of a phase shift parameter, is discussed theoretically and numerically.