25 October 1996 Construction of Hadamard phase-codes for holographic memories
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In order to accommodate to the available pixel numbers of spatial light modulators and to achieve the maximum possible storage capacity of a phase-code multiplexed holographic memory, it is often required to generate orthogonal phase- codes whose length (or order) is not a power of 2. This paper reviews various methods for the construction of Hadamard matrices of order n equals 4 m (with m a positive integer). It is meant to be tutorial in nature and useful in scope. No attempt is made to be exhaustive in the mathematic treatment. A complete list of Hadamard matrices for all orders n equals 4 m < 400 is given. The list can certainly be extended to even higher orders.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Xiangyang Yang, Xiangyang Yang, James Zhiqing Wen, James Zhiqing Wen, Yu Xu, Yu Xu, } "Construction of Hadamard phase-codes for holographic memories", Proc. SPIE 2849, Photorefractive Fiber and Crystal Devices: Materials, Optical Properties, and Applications II, (25 October 1996); doi: 10.1117/12.255490; https://doi.org/10.1117/12.255490

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