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In the worst case, the sparsity bound in our construction is similar to that of binary compressed sensing matrices constructed by DeVore and partial Fourier matrices constructed by Xu and Xu.
This approach is based on analyzing behaviors of the arithmetic mean of the number of zeros in the columns of the matrices constructed by the Gauss elimination in GF q).
Exiting block diagonalization (BD) precoding studies on MU-MIMO systems have the high complexity, because the transmitter precoding matrices constructed by singular value decomposition (SVD) are successively calculated twice.
Extensive simulation results show that the sparse binary matrices constructed by the proposed algorithm significantly outperform Gaussian random matrices, random sparse binary matrices and two well-performing deterministic sparse binary matrices.
We followed a two-step method described in [ 16] for variance component analysis with IBD matrices constructed by a simple deterministic approach [ 27].
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Following the construction in [17 19], GLD codes are defined using a sparse matrix constructed by replacing each row in a sparse parity-check matrix, which indeed defines an LDPC code, with rows including one copy of the parity-check matrix of the constituent code Here, is usually a block code of code length n and information bit length k, such as BCH code and Reed-Solomon (RS) code.
Compared to the existing approaches, many more H-matrices constructed by our approach for diverse communication protocols can be supported within a fixed non-volatile memory space.
Denote the matrix constructed by the even numbered columns of (B_{v}^{(n)}) as (D^{(n)}).
for is the subfilter to be identified and (29). is a matrix constructed by Fourier matrices each of size.
Denote the matrix constructed by the even numbered columns of B̃ as D. Then we will show that D has the properties (1 - 3) in Theorem 2.
Ω t = diag(exp(h t /2)) is a diagonal matrix constructed by binary standard deviation, where h t = (h 1t, h 2t )′ and h 0 = μ.
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