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Find the Hadamard matrix for N = 4 and show that the spreading codes generated by the rows of this matrix are orthogonal assuming synchronous

Find the Hadamard matrix for N = 4 and show that the spreading codes generated by the rows of this matrix are orthogonal assuming synchronous users (i.e. show ij (0) = 0 i = j) . Also find the cross-correlation between all pairs of users assuming a timing offset of Tc/2 between users, i.e. find.

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