Sentence examples for matrix inverse operation from inspiring English sources

Moreover, LS-based algorithms do not include the matrix inverse operation.

Since we avoid the matrix inverse operation, the computational complexity at the destination terminal is reduced significantly.

For the scheme in [15], the major operations are the SVD of a N×K(K−2) matrix and a matrix inverse operation of two N×N matrices.

The proposed fast LMMSE algorithm avoids the matrix inverse operation and can be very efficient since the algorithm only uses the FFT and circle shift operation.

In this paper, it is shown that the parity check matrix can be constructed using patterned sub-matrix structure such that the matrix inverse operation is replaced by matrix multiplication of sparse matrices.

Channel estimation algorithm Number of real multiplications Number of real additions Matrix inverse operation LS, SLS No SSLS No MMSE ( = 0) Yes General MMSE Yes Figure 4 Computational complexity of the LS-based and MMSE channel estimators (Real multiplications for and ). Figure 5 Computational complexity of the LS-based and MMSE channel estimators (Real additions for and ).

Further, because, the clipping noise can be estimated (i.e., ) to avoid the FFT, IFFT, and matrix inverse operations for.

Since the AFD and the proposed algorithm use the same matrix inverse operations, which consist of the most significant part of the computation, to compute the gradient of the objective values, both algorithms have similar computational complexity O(m 3) in each of the iterations (refer to [28]).

Thus, one can replace the "matrix times inverse of another matrix" operation taking place each coherence period by a matrix-inverse operation per coherence period and two matrix-vector multiplications per data symbol vector.

where RH = E[H HH] denotes the autocovariance matrix of channel coefficient in FD, RN = E[N NH] is the covariance matrix of the noise, −1 denotes the inverse operation of a matrix.

Observe that the LS coefficients are constants and can be precomputed and stored thus avoiding costly matrix multiplication and inverse operations and making this estimation scheme low in complexity.