To accommodate the available spatial light modulators and to achieve the maximum possible storage capacity of a phase-code-multiplexed holographic memory, it is often necessary to generate an orthogonal phase code whose length is not a power of 2. We describe an algorithm for the generation of basic Hadamard matrices of order M = 4p (with p an odd number) and show that Hadamard matrices of order N = 4t (with t a positive integer) can be constructed by combination of the algorithms presented with the tensor-product extension method.
© 1996 Optical Society of America
Xiangyang Yang, Yu Xu, and Zhiqing Wen, "Generation of Hadamard matrices for phase-code-multiplexed holographic memories," Opt. Lett. 21, 1067-1069 (1996)