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

Multiplex communications – Communication over free space – Having a plurality of contiguous regions served by...

Reexamination Certificate

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C370S208000, C370S209000, C370S342000, C370S441000, C375S130000, C375S140000, C375S148000

Reexamination Certificate

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07346038

ABSTRACT:
A multicarrier direct-sequence code-division multiple-access (MC-DS/CDMA) communications system is provided. A code tree of two-dimensional orthogonal variable spreading factor (2D-OVSF) codes is then generated for the system. To generate the code tree, a set of existing M1×N12D-OVSF matrices, in the form of A(i)(M1×N1)for i={1, 2, . . . , K1} is selected as seed matrices. M1represents the number of available frequency carriers in the MC-DS/CDMA system, and N1represents a spreading factor code length. Another set of existing M2×N22D-OVSF matrices, in the form of B2(i)(M2×N2)for i={1, 2, . . . , K2} is then selected as mapping matrices. The mapping matrices are used to generate corresponding children matrices. These second layer child matrices are M1M2×N1N2matrices with cardinality K1K2, which are defined by reiterating the relationship:C(M1⁢M2×N1⁢N2)((i-1)⁢K2+1)=B2⁢(M2×N2)(1)⊕A(M1×N1)(i)C(M1⁢M2×N1⁢N2)((i-1)⁢K2+2)=B2⁢(M2×N2)(2)⊕A(M1×N1)(i)⁢⋯C(M1⁢M2×N1⁢N2)((i-1)⁢K2+K2)=B2⁢(M2×N2)(K2)⊕A(M1×N1)(i)where ⊕ indicates a Kronecker product, and i=1, 2, 3, 4, . . . , K1.

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