In this article, the second-order statistics of the elastic moduli of randomly oriented grains in a polycrystal are derived for the case when an initial stress is present. The initial stress can be either residual stress or stresses generated from external loading. The initial stress is shown to increase or decrease the variability of the grain's elastic moduli from the average elastic moduli o...

The analog parts of mixed analog-digital systems are always subject to some imperfections. Considering Linear Time-Invariant (LTI) analog circuits, the real transfer function is then practically different from the desired nominal one and includes some deviations. The goal of this paper is to offer a model which digitally estimates the deviations from typical values supposing that the only avail...

N wideband sources recorded using N closely spaced receivers can feasibly be separated based only on second order statistics when using a physical model of the mixing process. In this case we show that the parameter estimation problem can be essentially reduced to considering directions of arrival and attenuations of each signal. The paper presents two demixing methods operating in the time and...

putational load numerical arithmetic such as a singular decomposition. A novel second-order statistics-based blind deconvolution and equalizer technique is proposed in this literature. This technique makes use of a two-channel perfect reconstruction jilter bank derived from a two-component polyphase decomposition of transmission channel in order to make exact system identifications possible. Th...

Explicit expressions for the second order statistics of cepstral components representing clean and noisy signal waveforms are derived. The noise is assumed additive to the signal, and the spectral components of each process are assumed statistically independent complex Gaussian random variables. The key result developed here is an explicit expression for the cross-covariance between the log-spe...

Second order statistics of quaternion random variables and signals are revisited in order to exploit the complete second order statistical information available. The conditions for Q-proper (second order circular) random processes are presented, and to cater for the non-vanishing pseudocovariance of such processes, the use of ı-E-k-covariances is investigated. Next, the augmented statistics and...

Separation of sources consists of recovering a set of signals of which only instantaneous linear mixtures are observed. In many situations, no a priori information on the mixing matrix is available: The linear mixture should be “blindly” processed. This typically occurs in narrowband array processing applications when the array manifold is unknown or distorted. This paper introduces a new sourc...

This paper proposes a novel level set based image segmentation method by use of image second statistics and logarithmic Euclidean metric. Different from previous tensor based image segmentation approaches, the proposed method adopts covariance feature as region-level descriptor rather than pixel-level one. On the basis of feature image, we utilize second order statistics of image feature, i.e.,...

Online denoising is motivated by real-time applications in the industrial process, where the data must be utilizable soon after it is collected. Since the noise in practical process is usually colored, it is quite a challenge for denoising techniques. In this paper, a novel online denoising method was proposed to achieve the processing of the practical measurement data with colored noise, and t...

A second order statistics spectrum estimation (SOSSE) method for speech enhancement is presented. DFT amplitude spectral components of noisy signal are assumed to be random values. Upon first and second order statistic values estimation of noise-only spectrum, an enhancement of noisy signal spectrum was performed. As a reference, a fast discrete cosine transform based signal subspace (FDCTSS) m...