Binary-to-ternary sparsity encoding for holographic data storage

We consider holographic data storage in which data is represented by an array of pixels with modulation in amplitude and phase, and the Fourier transform of this array is created optically and recorded in a holographic medium. However, if the stored image contains high intensity peaks, the material can saturate, and on readout, the reconstructed data array will contain errors. Therefore, in this paper we present a coding technique to reduce the severity of Fourier domain peaks in the recorded images by enforcing a sparsity constraint on the data array prior to creating the Fourier transform image.We limit our consideration to hybrid-ternary modulated (HTM) data arrays.