This paper analyzes an SVD based low rank transform domain adaptive filtering algorithm and proves that it performs better than Normalized LMS. The method extracts an underdetermined solution from an overdetermined least squares problem, using a part of the unitary transformation formed by the right singular vectors of the data matrix. The aim is to get as close to the solution of an overdeterm...

A wide variety of matrix transforms have been used for compression of image and video data. Transforms have also been used for motion estimation and quantization. One such transform is the singular-value decomposition (SVD) that relies on low rank approximations of the matrix for computational and storage efficiency. In this study, we describe the use of a variant of SVD in image and video comp...

Proposed watermarking algorithm is best suitable for the protection of multimedia content by using the concept of Digital Watermark. Proposed watermarking algorithm is developed by using a combination of Discrete Cosine Transform (DCT), Singular Value Decomposition (SVD) frequency domains and Canny Edge detection technique. The proposed algorithm is a Non-blind watermarking algorithm. By using ...

Digital watermarking is used to protect digital content such as images, audio and videos that have been tampered maliciously and with higher accuracy. Digital video watermarking is a new and merging area of research to exploit different ways in order to prohibit illegal replication and exploitation of digital contents. In this paper, to maintain the quality of video and to ensure the ownership ...

1 Vector and Matrix Norms, 2 2 Subspaces, Bases, and Projections, 3 3 The Fundamental Theorem of Linear Algebra, 7 4 Solving Linear Equations, 7 5 The Singular Value Decomposition, 13 6 Moore-Penrose Pseudoinverse, 18 7 Least-Squares Problems and the SVD, 20 8 Condition Number, 22 9 Reduced-Rank Approximation, 23 10 Regularization of Ill-Conditioned Problems, 29 11 SVD and Signal Processing, 30...

A flexible transform-based tensor product named ★QT-product for Lth-order (L≥3) quaternion tensors is proposed. Based on the ★QT-product, we define corresponding singular value decomposition TQt-SVD and rank TQt-rank of tensor. Furthermore, with orthogonal transformations, can provide best TQt-rank-s approximation any On other side, since a color pixel RGB channels be well encoded as pure quate...

a r t i c l e i n f o a b s t r a c t Keywords: Digital image watermarking Integer wavelet transform Singular value decomposition Wilcoxon signed rank test Digital signature In this paper, a new robust and secure digital image watermarking scheme that can be used for copyright protection is proposed. The scheme uses the integer wavelet transform (IWT) and singular value decomposition (SVD). The...

Creation and distribution of digital multimedia, by copying and editing, has both advantages and disadvantages. These can facilitate unauthorized usage, misappropriation, and misrepresentation. Therefore the content providers have become more concerned. So image watermarking, which is the act of embedding another signal (the watermark) into an image, have been proposed for copyright protection ...