Alternating Optimization Based Hybrid Precoding Strategies for Millimeter Wave MIMO Systems

Qiao, Xu; Zhang, Yao; Zhou, Meng; Yang, Longxiang

doi:10.1109/access.2020.3002788

Cited by 17 publications

(22 citation statements)

References 38 publications

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“…. It can be seen that both Fully digital Precoding HD-LSR Precoding [18] MO-AltMin Precoding [20] SDR-AO Precoding [24] Spatially Sparse Precoding [11] Proposed IPM-HP Proposed MBCD-HP MBCD-HP and IPM-HP converge monotonically.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…The spectral and bit error rate (BER) performances of the proposed algorithms are compared against SSP [11], the existing high-performing methods like HD-LSR [18], MO-AltMin [20] and SDR-AO [24]. The spectral efficiency is computed as…”

Section: Simulation Resultsmentioning

confidence: 99%

“…In TABLE 1, also listed are the complexities of several existing precoders HD-LSR, SSP, MO-AltMin and SDR-AO in narrowband case. The complexity of MO-AltMin has been sourced from [21], whereas the complexity of SSP have been derived from [24]. The complexity of MBCD-HP at each iteration k is mainly governed by the modified BCD algorithm and the computation of F(k) D which involves pseudoinverse computation of F (k−1) R and a matrix multiplication.…”

Section: Complexity Analyses Of the Proposed Methodsmentioning

confidence: 99%

“…In [24], authors decouple the hybrid precoding prob-lem into quadratically constrained quadratic programming (QCQP) sub-problem and least-squares sub-problem with unitmodulus constraint. The new sub-problems are solved by alternating optimization technique and three different algorithms, namely, SDR-AO, ADMM-AO ACMF-AO.…”

Section: Introductionmentioning

confidence: 99%

“…The SDR-AO algorithm in [24] also converts the hybrid precoding problem into SDP problem and solves it by using CVX. However, there are significant differences in its approach and our approach in MBCD-HP.…”

Section: Introductionmentioning

confidence: 99%

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Hybrid Precoding for Millimeter Wave MIMO: Trace Optimization Approach

Gautam

Zhang

2022

IEEE Access

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The hybrid precoding problem in point-to-point millimeter wave (mmWave) multiple input multiple output (MIMO) for narrowband channel is established as a Frobenius norm minimization problem. It is translated into trace minimization problem, and two algorithms are proposed to solve it. In the first method based on alternating minimization, we alternately determine the analog precoder and digital precoder, keeping the other constant to minimize the trace. The analog precoding subproblem with the fixed digital precoder is converted into a semi-definite programming (SDP) problem and solved by block coordinate descent (BCD) algorithm with suitable modifications. In the second method, we segregate the analog precoding and digital precoding subproblems by considering orthogonality of analog precoder. The analog precoding is further rephrased as a trace maximization problem and solved by an iterative power method by enforcing orthogonality constraint on the analog precoder. The adapted form of modified Gramm-Schmidt orthogonalization procedure is employed to impose orthogonality on the analog precoder. The proposed methods are extended for wideband channel by considering orthogonal frequency division multiplexing (OFDM). The proposed methods not only exhibit a good performance but also come with lower computational complexity when compared to existing methods with comparable performances.INDEX TERMS Millimeter wave (mmWave) communication, hybrid precoding, trace optimization, alternating minimization, block coordinate descent, power method.

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Section: Simulation Resultsmentioning

confidence: 99%

Section: Simulation Resultsmentioning

confidence: 99%

Section: Complexity Analyses Of the Proposed Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Hybrid Precoding for Millimeter Wave MIMO: Trace Optimization Approach

Gautam

Zhang

2022

IEEE Access

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Hybrid distributed online and alternating convex optimization‐based initial value accelerated hybrid precoding for millimeter wave multiple‐input‐multiple‐output

Kadiyala,

Kakarla,

Chikyal

2023

Int J Communication

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SummaryThe hybrid precoding problem is considered a Frobenius norm reduction problem for the narrowband channel in a millimeter wave (mmWave) with multiple inputs and outputs (mmWave MIMO). This work proposes a hybrid distributed online and alternating convex optimization (HDO‐ACO) algorithm to improve hybrid precoding (HP), interpreted as a trace minimization problem. HDO‐ACO alternately determines the digital and analog precoders to reduce the trace by keeping the other constant. Initially, HDO‐ACO uses Lagrange's method to determine the digital precoding subproblem. Then, it uses the integrated distributed online convex optimization and alternating minimization algorithm in the analog precoder design. In the HP method, the digital and analog precoders are iteratively updated until the highest number of iterations or convergence is reached. But this hybrid precoding method requires an initial analog precoding matrix input to begin the iteration. The algorithms converge gradually and fall into a suboptimal solution when the initial analog precoding matrix is set randomly. Hence, an initial value acceleration‐based heuristic approach is used in the HDO‐ACO alternating minimization algorithm that calculates the initial feasible value of an alternating minimization method using channel conditions. The simulation results of the proposed HDO‐ACO algorithm are presented under bit error rate (BER), spectral efficiency (SE), and convergence behavior by comparing it with modified block coordinate descent–HP (MBCD‐HP), manifold optimization–alternating minimization (MO‐AltMin), and semi‐definite relaxation‐based alternating optimization (SDR‐AO). The proposed HDO‐ACO attains maximum SE and less BER than other hyper‐precoding designs.

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