Construction of Hadamard phase-codes for holographic memories

Xiangyang Yang; James Zhiqing Wen; Yu Xu

doi:10.1117/12.255490

25 October 1996 Construction of Hadamard phase-codes for holographic memories

Xiangyang Yang, James Zhiqing Wen, Yu Xu

Proceedings Volume 2849, Photorefractive Fiber and Crystal Devices: Materials, Optical Properties, and Applications II; (1996) https://doi.org/10.1117/12.255490
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

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.

Citation Download Citation

Xiangyang Yang, James Zhiqing Wen, and 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); https://doi.org/10.1117/12.255490

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