On robust Capon beamforming and diagonal loading

By Jian Li, P. Stoica, Zhisong Wang. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003

1,505 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Signal Processing

View Paper: https://www.semanticscholar.org/paper/b7e23dd6ea8d870ce807472b7825f58d2a3a1a89

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Citations in the corpus

Range Compression and Waveform Optimization for MIMO Radar: A CramÉr–Rao Bound Based Study (2007, methodology): “Therefore, instead of the Capon method, we use the robust Capon beamforming (RCB) algorithm [28] for the range-compressed data.”
Doubly constrained robust Capon beamformer (2004, methodology): “In practical applications, is replaced by the sample covariance matrix , where (3) with denoting the number of snapshots and representing the th snapshot.”
Robust minimum variance beamforming (2005, background): “[32] suggest normalizing the nominal array response to a constant equal to the number of sensor elements.”
Radar-Based Breast Cancer Detection Using a Hemispherical Antenna Array—Experimental Results (2009, methodology): “The problem (6) can be solved using the Lagrange multiplier method [25], [30]”
Further Study on Robust Adaptive Beamforming With Optimum Diagonal Loading (2006, positive): “The problem is converted from constrained minimization to unconstrained minimization problem and the solution is given by [13]”
Covariance and precision matrix estimation for high-dimensional time series (2013, background): “…on the linear or quadratic discriminant analysis [Bickel and Levina (2004)], and real-world applications such as portfolio selection [Ledoit and Wolf (2003), Talih (2003)] and wireless communication [Guerci (1999), Ward (1994), Li, Stocia and Wang (2003), Abrahamsson, Selen and Stoica (2007)].”
Principles of minimum variance robust adaptive beamforming design (2013, methodology): “The particular design principles for MVDR RAB explained in this paper include the generalized sidelobe canceller [3,4,57], the regularization (diagonal loading) principle [53–55], the eigenspace projection principle [58], the design principles that use the worst-case optimization [59–67] and the out”
A Consolidated Perspective on Multimicrophone Speech Enhancement and Source Separation (2017, neutral): “It is a widely-explored area in the field of array processing [369]–[371].”
Signal Synthesis and Receiver Design for MIMO Radar Imaging (2008, methodology): “For the sake of conciseness, we will only show the results of the refined CAPES.”
Target detection and parameter estimation for MIMO radar systems (2008, methodology): “To eliminate a scaling ambiguity (see [23]), we scale âr(μ) such that kâr(μ)k(2) =M.”
Real-Time Convex Optimization in Signal Processing (2010, methodology): “More recently, convex optimization has been used to design array weights that are robust to variations in the signal statistics or array response [39], [40].”
Adaptive Beamforming Applied to Medical Ultrasound Imaging (2007, background): “The overlapping subarrays give some more weight to the central elements, corresponding to a nonuniform shading.”
Convex Optimization-Based Beamforming (2010, methodology): “The problem in (5) belongs to the class of second-order cone programming (SOCP) problems that can be easily solved (with complexity comparable to that of the SMIbased MV beamformer) using standard and highly efficient convex optimization software [42], [43] or, alternatively, using Newton-type algor”