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As an example of complex matrix operations decomposition, Fig. 4 shows the required operators to perform 2×2 complex matrix multiplication operation.
where × is matrix multiplication operation, and H t is a transpose of the H matrix. 4. The operator precedence relation.
Furthermore, the Chu sequence is employed as the training sequence at the source terminal to achieve the minimum MSE estimation performance while avoid the complex matrix multiplication operation at the relay terminals.
Since multiplication operation of the unitary matrices of relay terminals given in the optimal training scheme is equivalent to circular shifting operation, the complex matrix multiplication operation in the relay terminals can be avoided.
In addition, the Chu sequence is employed as the training sequence to achieve the minimum MSE estimation performance while avoid the complex matrix multiplication operation at the relay terminals.
With the same matrix representation, the quotient matrix of the frequency-domain symbols is provided {left({mathbf{D}}_{div}right)}_{mu, n}={left({mathbf{D}}_{Rx}right)}_{mu, n}/{left({mathbf{D}}_{Tx}right)}_{mu, n}={overrightarrow{k}}_R^Tcdot {overrightarrow{k}}_D (28 with T being the matrix transpose operation and being the matrix multiplication operation.
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When doing online prediction, we put all the matrices into memory, avoiding slow matrix multiplication operations.
The multiprocessor system implements any image transform coding that is represented by a pair of matrix multiplication operations.
The OrthoMCL uses matrix multiplication, the operation with the minimal complexity n ω, where the exponent ω is a parameter.
The matrix-vector multiplication operation is the kernel of most numerical algorithms.Typically, matrix-vector multiplication algorithms exploit the sparsity of a matrix, either to reduce the time taken or the memory used.
There are a number of basic operations that can be applied to modify matrices, called matrix addition, scalar multiplication, transposition, matrix multiplication, row operations, and submatrix.
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