Sentence examples for based on orthogonal matrix from inspiring English sources

The process of measurement matrix construction based on orthogonal matrix Kronecker product is as follows: Φ = U c, : (7). 1. Choose orthogonal basis vectors.

In general, the measurement matrix based on orthogonal matrix Kronecker product has the same image reconstruction accuracy of random measurement matrix and are as fast as the certainty measurement matrix.

Overall, Kronecker product measurement matrix based on orthogonal matrix performs well not only in accuracy but also in time consumed which means this novel measurement matrix offers great potential for hardware implementation of compressive sensing in image and high-dimensional signal.

Decide the M according to the actual required compression ratio to form the measurement matrix which is M × N, choose M row vectors from orthogonal matrix U to form the measurement matrix, which is the measurement matrix based on orthogonal matrix Kronecker product.

Reservoirs based on uniform spreading of connection matrix eigenvalues on the unit disk in discrete time give much better memory properties than reservoirs with random connection matrices, where reservoirs based on orthogonal connection matrices in discrete time are very robust against noise and their memory properties can be tuned.

Simulation of random fields based on orthogonal transformation of covariance matrix and Latin hypercube sampling.

In this research, we use the basic properties of Kronecker product operation and low-dimensional orthogonal basis to get higher dimensional column vector, Kronecker product, and construct the Kronecker product measurement matrix based on orthogonal basis.

So, the Kronecker product measurement matrix based on orthogonal basis that we have constructed is suitable in the embedded hardware implementation and offers great potential for hardware implementation of compressive sensing in image and high-dimensional signal.

According to Table 1, when the target image, image sparse algorithm, the reconstruction algorithm, and other conditions are all the same and the compression ratio is fixed, the Kronecker product matrix based on orthogonal basis performs better than the commonly used certain measurement matrice in the image reconstruction effect of PSNR (4 to 5 dB higher) [11].

It can be shown that the solution given by (8) is equivalent to the one based on the orthogonal matrix projection onto the column space of H ~ b, k, l discussed in some works (e.g., [13, 20]).

This matrix method is based on orthogonal Jacobi polynomials and using collocation points.