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MULTICHANNEL-COMPRESSIVE ESTIMATION OF DOUBLY SELECTIVE CHANNELS IN MIMO-OFDM SYSTEMS: EXPLOITING AND ENHANCING JOINT SPARSITY by Daniel Eiwen, Georg Taubock, Franz Hlawatsch, Holger Rauhut, and Nicolai Czink. GROUP SPARSITY METHODS FOR COMPRESSIVE CHANNEL ESTIMATION IN DOUBLY DISPERSIVE MULTICARRIER SYSTEMS by Daniel Eiwen, Georg Taubock, Franz Hlawatsch and Hans Georg Feichting. We also propose a multichannel basis optimization for enhancing joint sparsity. We consider the problem of simultaneous variable selection and constant coefficient identification in high-dimensional varying coefficient models based on B-spline basis expansion. Under suitable conditions, we show that consistency in terms of both variable selection and constant coefficient identification can be achieved, as well as the oracle property of the constant coefficients. On the other hand, sparsity is the key attribute exploited by modern compressive sampling and variable selection approaches to linear regression, which include noise in the data, but do not account for perturbations in the regression matrix. Near-optimum and reduced-complexity suboptimum sparse (S-) TLS algorithms are developed to address the perturbed compressive sampling (and the related dictionary learning) challenge, when there is a mismatch between the true and adopted bases over which the unknown vector is sparse. Various projection operators are compared. Unlike the previous methods, we propose a compressive channel estimation method which exploit the sparse structure and provide significant improvements in MSE performance when compared with traditional LSbased linear channel probing strategies.
Conclusion: Although most CS work to date has focused on high-contrast objects, CS reconstructions consistently improved LCOD compared to several standard MRI reconstruction techniques for undersampled data. They are closely related to the well-known techniques such as Lasso and Dantzig Selector. Numerical evidence confirms the predictions and indicates that the performance of the Lasso is superior to that of the OST for the proposed set-up with random illumination. Two recovery methods are analyzed: the Lasso and the One-Step Thresholding (OST). We demonstrate a group sparse structure of these leakage components and apply recently proposed recovery techniques for group sparse signals. We propose new methods of recovery of sparse signals from noisy observation based on L1-minimization. Simulation results confirm the proposed methods. Recent developments of theory, methods, and implementations in penalized least squares and penalized likelihood methods are highlighted. Our profile forming machine Forming Machines are versatile, allowing you to manufacture a range of different profiles with one machine. Also, the use of Roll Forming Machines with computer controlled programming has become quite extensive these days.
The name «direct exchange» refers to heat transfer between the refrigerant loop and the ground without the use of an intermediate fluid. We also provide an oracle inequality to justify the proposed algorithms and show how the estimates can be computed using the Basis Pursuit algorithm. We also present a basis optimization method for enhancing group sparsity. By optimizing these bounds with respect to the method parameters we are able to construct the estimators which possess better statistical properties than the commonly used ones. We make four contributions in this paper: 1) we present a comprehensive optimization method to arrive at the spatial and spectral layout of the color filter array of a GAP camera. The requirements of scalability, realtimeness and security make the wireless meter reading highly challenging. On assuming that the number of smart meters is large and the data burst is sparse, i.e., only a small fraction of the smart meters are reporting their power loads at the same time, the technique of compressed sensing is applied for the wireless meter reading.
Moreover, when the number of random probes is large the Lasso with random illumination has a performance guarantee for superresolution, beating the Rayleigh resolution limit. We apply the adaptive group Lasso penalty in models involving a diverging number of covariates, which can be much larger than the sample size, but we assume the number of relevant variables is smaller than the sample size via model sparsity. The LASSO risk for gaussian matrices by Mohsen Bayati, Andrea Montanari. LASSO converges to a limit, and we obtain an explicit expression for this limit. Analysis and simulations demonstrate the practical impact of S-TLS in calibrating the mismatch effects of contemporary grid-based approaches to cognitive radio sensing, and robust direction-of-arrival estimation using antenna arrays. A major problem with using such an array is that the captured image is severely under-sampled for at least some of the filter types. The data sparsity solves the problem of scalability. However, conventional linear estimation techniques neglect anticipated sparsity of multipath channel. However, TWRC requires the knowledge of channel state information (CSI) not only for coherent data detection but also for the self-data removal. Interesting generalizations can further exploit prior knowledge on the perturbations to obtain novel weighted and structured S-TLS solvers.