Sentence examples for manifold matrix from inspiring English sources

When a subset of the subbands are distorted, the manifold matrix is distorted in these subbands.

Consider narrowband signal distortions that affect the manifold matrix in some of the frequency bands.

Furthermore, A is a N × M matrix of steering vectors, which is named manifold matrix.

Array manifold matrix A θ and delay matrix F ϕ still suffer from rotation ambiguity.

The manifold matrix of the ULA and PA have dimensions of N × M and (N + 2)×M, respectively.

Consider that the l o th subband, where (l_{o}in mathbb {L}), is distorted with the corresponding manifold matrix ({tilde {boldsymbol {A}}_{[l_{o}]}}).

The first subarray contains sensor 1 to M s, while the second subarray contains sensor M − M s + 1 to M. Obviously, the array manifold matrices associated with these two subarrays are related by A 1 Φ = A 2, where Φ is a K × K diagonal matrix with its diagonal element defined by ϕ k = e j 2 π d s sin θ k / λ.

Then, the manifold dictionary matrix corresponding to the signal at the lth subband can be expressed as {tilde{boldsymbol{A}}_{[l]}} = left[ {{{hat {boldsymbol{A}}}_{[l]}}left({{tilde theta }_{1}}right), cdots,{{hat {boldsymbol{A}}}_{[l]}}({{tilde theta }_{Q}})} right], (7).

The Karcher mean of SPD matrices is defined as the barycenter of these matrices on the manifold of SPD matrices with its Riemannian geometry.

In this paper, synchronization control of switched linearly coupled delayed neural networks is investigated by using the Lyapunov functional method, synchronization manifold and linear matrix inequality (LMI) approach.

Working in Euclidean space with covariance matrices is known to be error-prone, one might take advantage of algorithmic advances in Riemannian geometry and matrix manifold to implement methods for Symmetric Positive-Definite (SPD) matrices.