Method for generating 2D OVSF codes in multicarrier DS-CDMA...

Multiplex communications – Generalized orthogonal or special mathematical techniques – Particular set of orthogonal functions

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Reexamination Certificate

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ABSTRACT:
A code tree of two-dimensional orthogonal variable spreading factor (2D-OVSF) code matrices for a multicarrier direct-sequence code-division multiple-access (MC-DS/CDMA) communications system is generated by providing two sets of 2×2 orthogonal matrices {A(1)(2×2),A(2)(2×2)} and {B(1)(2×2),B(2)(2×2)}. The first set of 2×2 matrices is used to generate a pair of sibling nodes in the code tree that respectively represent matrices A(1)(2×2α)and A(2)(2×2α)by iterating the relationship:A(1)(2×21+β)=[A(1)(2×2β)A(2)(2×2β)], The matrices A(1)(2×2α)and A(2)(2×2α)areA(2)(2×21+β)=[A(1)(2×2β)−A(2)(2×2β)].used to generate a child node of one of the sibling nodes. The child node contains an M×N matrix, which is found by iterating the relationship:A(i−1)(O×P)=[B(1)(2×2){circle around (×)}A(i/2)(0/2×P/2)] where {circle around (×)} indicates a Kronecker product.A(i)(O×P)=[B(2)(2×2){circle around (×)}A(i/2)(0/2×P/2)],

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