Signal recovery due to rotational pixel misalignment [holographic memory applications]

Pixel misalignments such as two-dimensional lateral shifts, rotation and magnification are one of the common sources of distortion in optical data storage systems like volume holographic memories. In this paper, we formulate the channel model for rotational misalignment of the detector grid array with respect to the transmitter, about the center of the optical axis, and derive an expression for the number of transmitted bits that can be recovered losslessly. Finally, we outline an algorithm for recovering the transmitted bits from the detector array in the presence of additive white Gaussian noise and rotational misalignment. The method is applicable to holographic memories and other imaging systems.