Hermite Expansion Model and LMMSE Analysis for Low-Resolution Quantized MIMO Detection

@article{Liu2021HermiteEM,
  title={Hermite Expansion Model and LMMSE Analysis for Low-Resolution Quantized MIMO Detection},
  author={Lifu Liu and Yi Ma and Na Yi},
  journal={IEEE Transactions on Signal Processing},
  year={2021},
  volume={69},
  pages={5313-5328}
}
  • Lifu Liu, Yi Ma, N. Yi
  • Published 11 September 2021
  • Computer Science, Engineering, Mathematics
  • IEEE Transactions on Signal Processing
In this paper, the Hermite polynomials are employed to study linear approximation models of narrowband multi-antenna signal reception (i.e., MIMO) with low-resolution quantizations. This study results in a novel linear approximation using the second-order Hermite expansion (SOHE). The SOHE model is not based on those assumptions often used in existing linear approximations. Instead, the quantization distortion is characterized by the second-order Hermite kernel, and the signal term is… Expand

Figures from this paper

References

SHOWING 1-10 OF 58 REFERENCES
Channel Estimation and Performance Analysis of One-Bit Massive MIMO Systems
TLDR
This paper proposes an approach for channel estimation that is applicable for both flat and frequency-selective fading, based on the Bussgang decomposition that reformulates the nonlinear quantizer as a linear function with identical first- and second-order statistics. Expand
Throughput Analysis of Massive MIMO Uplink With Low-Resolution ADCs
TLDR
It is illustrated that, for the 1-bit quantized case, pilot-based channel estimation together with maximal-ratio combing, or zero-forcing detection enables reliable multi-user communication with high-order constellations, in spite of the severe nonlinearity introduced by the ADCs. Expand
Capacity Analysis of One-Bit Quantized MIMO Systems With Transmitter Channel State Information
  • Jianhua Mo, R. Heath
  • Computer Science, Mathematics
  • IEEE Transactions on Signal Processing
  • 2015
TLDR
This paper analyzes the flat fading multiple-input multiple-output (MIMO) channel with one-bit ADCs and derives the exact channel capacity and proposes an efficient method to design the input symbols to approach the capacity achieving solution. Expand
On the Spectral Efficiency of Massive MIMO Systems With Low-Resolution ADCs
TLDR
This letter derives tractable and exact approximation expressions of the uplink SE of massive MIMO with the typical maximal-ratio combining (MRC) receivers and reveals that the use of low-cost and low-resolution ADCs can still achieve satisfying SE in massive M IMO systems. Expand
Bayes-Optimal Joint Channel-and-Data Estimation for Massive MIMO With Low-Precision ADCs
TLDR
A Bayes-optimal JCD estimator is developed using a recent technique based on approximate message passing that allows the efficient evaluation of the performance of quantized massive MIMO systems and provides insights into effective system design. Expand
Soft-Output Detection Methods for Sparse Millimeter-Wave MIMO Systems With Low-Precision ADCs
TLDR
Simulations results demonstrate that the proposed soft-output detection methods provide significant frame-error-rates gains compared with the existing frequency-domain equalization techniques in a coded mmWave MIMO system using one- or two-bit ADCs. Expand
Bayesian Optimal Data Detector for Hybrid mmWave MIMO-OFDM Systems With Low-Resolution ADCs
TLDR
This study considers a mmWave MIMO-orthogonal frequency division multiplexing (OFDM) receiver with a generalized hybrid architecture in which a small number of radio frequency (RF) chains and low-resolution ADCs are employed simultaneously and proposes a computationally efficient data detection algorithm that provides a minimum mean-square error estimate on data symbols and is extended to a mixed-ADC architecture. Expand
One-bit massive MIMO: Channel estimation and high-order modulations
TLDR
It is shown that least-squares (LS) channel estimation combined with joint pilot and data processing is capacity achieving in the single-user, single-receive-antenna case and LS channel estimation and maximum-ratio combining are sufficient to support both multiuser operation and the use of high-order constellations. Expand
Spectral Efficiency of Massive MIMO Systems With Low-Resolution ADCs and MMSE Receiver
TLDR
This letter considers an uplink multi-user massive multi-input multi-output (MIMO) system with non-uniform low-resolution analog-to-digital converters (ADCs) and minimum mean-square error receivers at the base station side, and results show the tightness of the asymptotic equivalent. Expand
Massive MIMO Systems With Non-Ideal Hardware: Energy Efficiency, Estimation, and Capacity Limits
TLDR
It is proved that the huge degrees of freedom offered by massive MIMO can be used to reduce the transmit power and/or to tolerate larger hardware impairments, which allows for the use of inexpensive and energy-efficient antenna elements. Expand
...
1
2
3
4
5
...