Frequency Selective Hybrid Precoding for Limited Feedback Millimeter Wave Systems

By Ahmed Alkhateeb, Robert W. Heath. IEEE Transactions on Communications, 2015

517 citations recorded by the source corpus.

Hybrid analog/digital precoding offers a compromise between hardware complexity and system performance in millimeter wave (mmWave) systems. This type of precoding allows mmWave systems to leverage large antenna array gains that are necessary for sufficient link margin, while permitting low cost and power consumption hardware. Most prior work has focused on hybrid precoding for narrow-band mmWave systems, with perfect or estimated channel knowledge at the transmitter. MmWave systems, however, will likely operate on wideband channels with frequency selectivity. Therefore, this paper considers wideband mmWave systems with a limited feedback channel between the transmitter and receiver. First, the optimal hybrid precoding design for a given RF codebook is derived. This provides a benchmark for any other heuristic algorithm and gives useful insights into codebook designs. Second, efficient hybrid analog/digital codebooks are developed for spatial multiplexing in wideband mmWave systems. Finally, a low-complexity yet near-optimal greedy frequency selective hybrid precoding algorithm is proposed based on Gram-Schmidt orthogonalization. Simulation results show that the developed hybrid codebooks and precoder designs achieve very-good performance compared with the unconstrained solutions while requiring much less complexity.

Subfields: Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/6c5d0eff830b9b05fb8abef3a2d6cfb87eeff2b8

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In Electrical and Electronic Engineering

Citations in the corpus

Generative Adversarial Estimation of Channel Covariance in Vehicular Millimeter Wave Systems (2018, methodology): “A wideband geometric channel model with L clusters is adopted for our mmWave system [6].”
5G: A Tutorial Overview of Standards, Trials, Challenges, Deployment, and Practice (2017, methodology): “locations and signal processing methods deployed [17], [18], [19], [20], [21], [22], [23]; see also Sec.”
A Survey on Hybrid Beamforming Techniques in 5G: Architecture and System Model Perspectives (2018, background): “Alkhateeb and Heath [77] develop a codebook that minimizes the average mutual information loss due to the quantized hybrid precoders.”
Channel Estimation for Millimeter-Wave Massive MIMO With Hybrid Precoding Over Frequency-Selective Fading Channels (2016, methodology): “More importantly, existing schemes [6]–[8] only consider the narrow-band ﬂat fading channel model, while the practical mmWave channels exhibit the broad-band frequency-selective fading (FSF) due to the very large bandwidth and different delays of multipath [9].”
Iterative Channel Estimation Using LSE and Sparse Message Passing for MmWave MIMO Systems (2016, methodology): “For the traditional hybrid analog-digital model, the observed signal at the receiver can be written as [26], [33]–[36],”
Position and Orientation Estimation Through Millimeter-Wave MIMO in 5G Systems (2017, unknown): “We consider the transmission of orthogonal frequency division multiplexing (OFDM) signals as in [37], where a BS with hybrid analog/digital precoder communicates with a single MS.”
Hybrid Analog and Digital Beamforming for mmWave OFDM Large-Scale Antenna Arrays (2017, methodology): “The paper [19] also considers the spectral efﬁciency maximization problem for a SU-MIMO system, but unlike [18] the beamformers are not restricted to come from a ﬁxed codebook.”
Channel Estimation for Hybrid Architecture-Based Wideband Millimeter Wave Systems (2016, methodology): “The hybrid precoder and combiner used in the frequency-selective mmWave system is generally of the form Ffd[k] = FRFF BB[k] ∈ CNt×Ns and Wfd[k] = WRFW BB[k] ∈ CNr×Ns , respectively for the kth subcarrier [28].”
Deep Learning Coordinated Beamforming for Highly-Mobile Millimeter Wave Systems (2018, methodology): “Since the sparse mmWave channel is highly correlated in the frequency domain [40], we will only consider a subset of the OFDM symbols for the inputs of the learning model.”
Millimeter Wave Communication: A Comprehensive Survey (2018, methodology): “Alkhateeb and Heath [76] propose a novel hybrid analog/digital precoding strategy for wide-band mmWave systems with limited feedback channels between transmitters and receivers.”
Millimeter Wave Beam-Selection Using Out-of-Band Spatial Information (2017, methodology): “Under this model, the delay- MIMO channel matrix H[ ] can be written as [32]”
Modeling and Analyzing Millimeter Wave Cellular Systems (2016, background): “The solutions in [103], [113], [115], [116], and [130]–[133] showed that hybrid precoding can generally achieve very good spectral efficiencies compared to the fully-digital SVD solution in mmWave systems, specially when the number of RF chains is close to the number of dominant channel paths.”
Dynamic Subarrays for Hybrid Precoding in Wideband mmWave MIMO Systems (2016, methodology): “The delay-d MIMO channel matrix can be written as [18], [22]”
Millimeter Wave Communications for Future Mobile Networks (2017, background): “This will lead to more challenges in signal processing design, which requires future investigation, but some pioneering works can be found in [137], [140].”