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Target Detection Using Radar Networks
Published in Hai Deng, Zhe Geng, Radar Networks, 2020
A BGLRT detector requiring no training data was proposed in (Sun et al., 2018), where the clutter covariance, textures of the clutters and target amplitudes were all treated as unknown parameters. The SIRV clutter model was adopted, while the clutter covariance was modeled as random matrices following the inverse Wishart distribution with an unknown ACCM, which is a structured matrix with the Hadamard product form consisting of two parts: the CMT and the clutter Doppler spectrum component. The BGLRT detector proposed in (Sun et al., 2018) is detailed below.
Reliability based topology optimization design of the network system: A case study on a sewage treatment system
Published in Stein Haugen, Anne Barros, Coen van Gulijk, Trond Kongsvik, Jan Erik Vinnem, Safety and Reliability – Safe Societies in a Changing World, 2018
X.J. Yi, P. Hou, H.N. Mu, Y.H. Lai
The cost is calculated by the objective function through Hadamard product between the cost matrix and the adjacent matrix. The Hadamard product is new matrix that its dimension is still 7 × 7. These non-zero elements are the cost of connections which exist in the designed layout. The sum of these non-zero elements is the total cost of the layout.
Multiway Statistical Methods for Food Engineering and Technology
Published in Surajbhan Sevda, Anoop Singh, Mathematical and Statistical Applications in Food Engineering, 2020
Smita S Lele, Snehasis Chakraborty
If all the column vectors of matrix A are slanted vertically, it will lead to vec A. The simplified rules for vector operation are listed in Fig. 4 (Magnus and Neudecker, 1988). In multiway data analysis, a normal vector multiplication operator may not be enough. In this sense, other matrix operations like Kronecker product, Hadamard product and Khatri–Rao product have been familiarized in the multiway analysis. Tucker models can be written by Kronecker product, whereas Khatri–Rao product is suitable for the PARAFAC model and Hadamard product is applicable for weighted regression (Smilde et al., 2004). For instance, the Kronecker product (⊗) of A (I × J) and B (K × M) leads to the matrix (IK × JM), according to Eq. 3. () A⊗B=[a11B...a1jB.........aI1B...aIjB]
Improvement of chest X-ray image segmentation accuracy based on FCA-Net
Published in Cogent Engineering, 2023
Rima Tri Wahyuningrum, Indah Yunita, Indah Agustien Siradjuddin, Budi Dwi Satoto, Amillia Kartika Sari, Anggraini Dwi Sensusiati
Where σ is a sigmoid function, Conv 7 × 7 indicates that the convolution layer size is 7 × 7, and Con indicates the concatenate of both matrices, and ⨀ denotes the Hadamard product. The Hadamard product, which can also be called element-wise multiplication, is the process of multiplying each element of a matrix with another matrix.
Surface effects on nonlinear vibration of embedded functionally graded nanoplates via higher order shear deformation plate theory
Published in Mechanics of Advanced Materials and Structures, 2019
Farzad Ebrahimi, Ebrahim Heidari
It is concluded that Hadamard product is element-wise multiplication of two matrices. The main features of Hadamard product are: