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
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