This paper presents a novel image denoising technique by using Principal Component Analysis (PCA) and Wavelet transform. The noisy image can be decomposed by the PCA into different blocks. Eigen values for each block is calculated and the common vector from each block is eliminated. The noise under consideration is AWGN and is treated as a Gaussian random variable. The denoised image obtained b...

So, 〈(A ∗B)ei, ej〉 = 〈Aei, ej〉 〈Bei, ej〉 . The Schur product theorem states that if A,B ∈ L (C) are positive then their Hadamard product A ∗B is positive. 1John B. Conway, A Course in Functional Analysis, second ed., p. 33, Proposition 2.12. 2John B. Conway, A Course in Functional Analysis, second ed., p. 34, Proposition 2.13. 3Ward Cheney and Will Light, A Course in Approximation Theory, p. 81...

A novel technique is presented to design the signal subspace speech enhancement based on perceptual post filtering. Firstly, by subspace filter the noisy speech is enhanced. The underlying principle is to decompose the vector space of the noisy signal into a signal plus noise subspace and a noise subspace. The decomposition can theoretically be performed by applying the Karhunen-Loeve transform...

We develop a connection between mixture and envelope representations of objective functions that arise frequently in statistics. We refer to this connection using the term “hierarchical duality.” Our results suggest an interesting and previously underexploited relationship between marginalization and profiling, or equivalently between the Fenchel–Moreau theorem for convex functions and the Bern...

A novel concept for perceptual audio coding is presented which is based on the combination of a preand post-filter, controlled by a psychoacoustic model, with a transform coding scheme. This paradigm allows modeling of the temporal and spectral shape of the masked threshold with a resolution independent of the used transform. By using frequency warping techniques the maximum possible detail for...

Copy-move forgery is the most popular and simplest image manipulation method. In this type of forgery, an area from the image copied, then after post processing such as rotation and scaling, placed on the destination. The goal of Copy-move forgery is to hide or duplicate one or more objects in the image. Key-point based Copy-move forgery detection methods have five main steps: preprocessing, fe...

To study on the characteristics of the vibration signals of coal and stone hitting the armor plate during caving, a hybrid algorithm based on first order forward difference and wavelet transform modulusmaxima method is presented which can be used in the longwall top coal face. First, in order to reduce the noise interference, the pre-processing of the vibration signals is done by the first orde...