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Evaluating the differential expression of a set of genes belonging to a common biological process or ontology has proven to be a very useful tool for biological discovery. However, existing gene-set association methods are limited to applications that evaluate differential expression across k ≥ 2 treatment groups or biological categories. This limitation precludes researchers from most effectively...
This paper deals with simple and effective residual carrier frequency offsets (CFO) estimation approaches for interleaved orthogonal frequency division multiple access (OFDMA) uplink systems. It has been shown that the propagator method (PM) has low computational load and is efficient in noise free environments. However, the PM is not robust to noise. With the forward-backward (FB) correlation matrix...
We present a variant of the regularized dual averaging (RDA) algorithm for stochastic sparse optimization. Our approach differs from the previous studies of RDA in two respects. First, a sparsity-promoting metric is employed, originated from the proportionate-type adaptive filtering algorithms. Second, the squared-distance function to a closed convex set is employed as a part of the objective functions...
Endmember extraction (EE) is an important step in hyperspectral data unmixing. There are many algorithms for Endmember extraction, one of the most common methods is the N-FINDR. The N-FINDR is the base for numerous EE algorithms including the Successive N-FINDR (SC N-FINDR) and the Random N-FINDR (RSC N-FINDR). The main issues of N-FINDR based algorithms is the enormous computation time, inconsistent...
Spatial-temporal adaptive processing (STAP) method can suppress more interferences than the pure spatial filter which has no resolution in frequency. Subspace orthogonal projection technology can remove the interference when the subspace of interference is obtained. Based on the characters of BeiDou signal, noise and jammers, this paper presents a BeiDou interference suppression technique combining...
Linear frequency modulated (LFM) continuous wave (CW) synthetic aperture radar (SAR) is promising in airborne earth observation with compact, lightweight, cost-effective and high resolution advantages. For CW imaging radars, however, weak targets may be submerged by sidelobes of strong range interferences including transmitter leakage and nadir signal, especially when the slant range is far. This...
This paper proposes a novel solution to solve the problem of imbalanced training samples in hyperspectral image classification. It consists of two parts: one is for large-size sample sets and the other is for small-size sets. We exploit an orthogonal projection based algorithm to select samples from large-size ones; meanwhile, we propose an algorithm based on the orthogonal complementary subspace...
In order to solve the problem of the node flip ambiguity generated by using classical least squares method in wireless sensor networks node localization, an iterative method based on triangular node blocks (IP-TNB) to process node flip ambiguity is proposed in this paper. At first, orthogonal projection detection method is adopted to detect an unknown node needed to be positioned. If the node would...
A process monitoring method called Improved Projection to Latent Structures (IPLS) is proposed in this paper. It aims at changing the oblique projection to orthogonal projection on the input space in basic PLS, thus a decomposition on input space to two orthogonal subspaces is achieved. Moreover, the output space is divided into three parts-a predictable subspace, an unpredictable principal subspace...
This chapter begins the exploration of variational methods by a situation which may appear as simple, but contains the fundamental elements necessary to the implementation of variational methods in complex situations: the variational formulation of algebraic equations and its consequences. It illustrates these consequences by adopting the variational point of view when studying a linear system of...
Node flip ambiguity is a key problem that needs to be addressed for range-based node localization in wireless sensor networks. In this paper we have implemented robustness analysis for three-dimensional node localization in wireless sensor networks. A robustness criterion to detect flip ambiguity for range-based three-dimensional nodes localization is proposed. We have proposed that flip ambiguity...
Although many endmember extraction algorithms (EEAs) have been proposed, the accurate identification of endmembers is still a challenging task in spectral unmixing of hyperspectral imagery. One of the EEAs, automatic target generation process (ATGP), works by iterative orthogonal projections of the data then finding the largest magnitude vector of this projection, and it will stop until reaches a...
We present a transformation procedure for large scale individual level data that produces output data in which no linear combinations of the resulting attributes can yield the original sensitive attributes from the transformed data. In doing this, our procedure eliminates all linear information regarding a sensitive attribute from the input data. The algorithm combines principal components analysis...
We propose a novel multikernel adaptive filtering algorithm based on the iterative projections in the sum space of reproducing kernel Hilbert spaces. We employ linear and Gaussian kernels, envisioning an application to partially-linear-system identification/estimation. The algorithm is derived by reformulating the hyperplane projection along affine subspace (HYPASS) algorithm in the sum space. The...
The method of orthogonal projection is introduced according to the problem of feed forward parameter optimization in linear servo system with high frequency response. At first, orthogonalized basis functions are constructed and the control system is projected onto the axes of the basis functions. Then system parameters are identified along the axes of basis functions by iterative learning and high...
Orthogonal projection (OP) adaptive beamforming is widely applied in practical scenarios because of strong robustness. However, the performance of traditional OP adaptive beamforming would degrade severely when OP adaptive beamforming is applied at subarray level, especially in asymmetrical subarray configuration. To overcome this problem, the improved orthogonal projection (IOP) adaptive beamforming...
When the desired signal is present in the training snapshots, the performance of conventional orthogonal projection (OP) adaptive beamforming degrades severely due to the desired signal cancellation effect. To overcome this deficiency, the improved orthogonal projection (IOP) adaptive beamforming by using reconstructed interference covariance matrix is proposed. In the proposed algorithm, the interference...
To detect a node flip ambiguity in range-based wireless network node localization, Wang et al. have proved that the flip ambiguity detection is equal to whether there is a straight line intersecting with all range error circles of reference node, which is called the existence of intersecting line (EIL) problem. To solve the EIL problem under equal radii, a convex hull algorithm proposed by Wang et...
The inaccuracy of the measurements collected by sensor nodes in a Wireless Sensor Network motivates the use of appropriate techniques for reducing this observation error. One of the most widely used method consists of projecting orthogonally the observation signal onto a subspace of interest. The in-network processing nature of these architectures suggests that such a method should be performed in...
In this paper, an iterative and joint algorithm is proposed to estimate additive white Gaussian noise (AWGN) variance and channel impulse response (CIR) in orthogonal frequency division multiplexing (OFDM) systems. With the aid of pilots, a rough CIR is firstly estimated by compressed sensing techniques such as sparsity adaptive matching pursuit (SAMP). By exploiting the sparsity of the estimated...
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