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A Novel Approach for Unit-Modulus Least-Squares Optimization Problems

delete2023-01-01
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PRE
AI
C
Cristian Rusu *
N
Nuria González‐Prelcic
DOI:10.1109/LSP.2023.3254452delete
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Abstract

Abstract

En 中文
We describe a novel constrained least-squares (LS) optimization problem and propose an iterative solution that deals with the constraints of placing variables on the complex unit circle. We reformulate the LS problem with unit magnitude constraints so that we obtain efficient closed-form local updates based on Procrustes orthogonal solutions that monotonically improve the objective function. We show the performance of the proposed algorithm in a synthetic experiment and an application to hybrid precoding/combining in mmWave MIMO communications.
Keywords:
Optimization
Iterative methods
Millimeter wave communication
Linear programming
Signal processing algorithms
Radio frequency
Precoding
Manifold optimization
unit modulus
constant magnitude
hybrid precoding and combining

Journal

IEEE Signal Processing Magazine cover
IEEE Signal Processing Magazine
IF:
9.6
Papers:
1.1W
Citations:
1.7W

Organization

U
University of Bucharest
Scholars:
4.6K
Papers: 3.5K
Citations: 3.8K
N
North Carolina State University
Scholars:
2.6W
Papers: 2.3W
Citations: 3.7W