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Multi-Agent Estimation and Filtering for Minimizing Team Mean-Squared Error [PDF]
IEEE Transactions on Signal Processing, 2021 16 pages, 7 figures, Submitted to the IEEE Transactions on Signal ...
Mohammad Afshari, Aditya Mahajan
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Mean Squared Error Minimization for Inverse Moment Problems [PDF]
Applied Mathematics & Optimization, 2014 We consider the problem of approximating the unknown density $u\in L^2(Ω,λ)$ of a measure $μ$ on $Ω\subset\R^n$, absolutely continuous with respect to some given reference measure $λ$, from the only knowledge of finitely many moments of $μ$. Given $d\in\N$ and moments of order $d$, we provide a polynomial $p_d$ which minimizes the mean square error ...
Henrion, Didier +2 more
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Minimal mean‐square error for 3D MIMO beamforming weighting [PDF]
Electronics Letters, 2016 The 3D MIMO beamforming system needs a weighting method to determine the direction of beam whist reducing the interference for other beam areas operating at the same carrier frequency. The challenge is to determine the weights of the 3D MIMO beams to direct each beam towards its cluster of user terminals while placing its nulls at ...
Xu, C., Cosmas, John, Zhang, Yue
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Polar coordinate quantizers that minimize mean-squared error [PDF]
IEEE Transactions on Signal Processing, 1994 A quantizer for complex data is defined by a partition of the complex plane and a representation point associated with each cell of the partition. A polar coordinate quantizer independently quantizes the magnitude and phase angle of complex data. The authors derive design equations for minimum mean-squared error polar coordinate quantizers and report ...
S.D. Voran, L.L. Scharf
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Asymptotic Integrated Mean Square Error Using Least Squares and Bias Minimizing Splines
The Annals of Statistics, 1980 Let $S^d_k$ be the set of $d$th order splines on $\lbrack 0, 1 \rbrack$ having $k$ knots $\xi_1 < \xi_2 \cdots < \xi_k$. We consider the estimation of a sufficiently smooth response function $g$, using $n$ uncorrelated observations, by an element $s$ of $S^d_k$.
Agarwal, Girdhar G., Studden, W. J.
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Sensor placement minimizing the state estimation mean square error: Performance guarantees of greedy solutions [PDF]
2020 59th IEEE Conference on Decision and Control (CDC), 2020 This paper studies selecting a subset of the system's output to minimize the state estimation mean square error (MSE). This results in the maximization problem of a set function defined on possible sensor selections subject to a cardinality constraint. We consider to solve it approximately by a greedy search.
Kohara, Akira +3 more
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Wireless MIMO Switching: Weighted Sum Mean Square Error and Sum Rate Optimization [PDF]
, 2012 This paper addresses joint transceiver and relay design for a wireless multiple-input-multiple-output (MIMO) switching scheme that enables data exchange among multiple users.
Guo, Dongning +3 more
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, 2013 This paper considers linear transceiver design for downlink multiuser multiple-input multiple-output (MIMO) systems. We examine different transceiver design problems. We focus on two groups of design problems.
Bogale, Tadilo Endeshaw +1 more
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Precise Phase Transition of Total Variation Minimization
, 2015 Characterizing the phase transitions of convex optimizations in recovering structured signals or data is of central importance in compressed sensing, machine learning and statistics.
Cai, Jian-Feng +3 more
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MMSE-based beamforming techniques for relay broadcast channels [PDF]
, 2013 We propose minimum mean square error (MMSE) based beamforming techniques for a multiantenna relay network, where a base station (BS) equipped with multiple antennas communicates with a number of single antenna users through a multiantenna relay.We ...
Cumanan, K +3 more
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