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

Abstract

In this paper, the Hermite polynomials are employed to study linear approximation models of narrowband multiantenna 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 characterized by the first-order Hermite kernel. It is shown that the SOHE model can explain almost all phenomena and characteristics observed so far in the low-resolution MIMO signal reception. When the SOHE model is employed to analyze the linear minimum-mean-square-error (LMMSE) channel equalizer, it is revealed that the current LMMSE algorithm can be enhanced by incorporating a symbol-level normalization mechanism. The performance of the enhanced LMMSE algorithm is demonstrated through computer simulations for narrowband MIMO systems in Rayleigh fading channels.

16 pages

References in corpus (14)

• Channel Estimation and Performance Analysis of One-Bit Massive MIMO Systems
• Capacity Analysis of One-Bit Quantized MIMO Systems with Transmitter Channel State Information
• Throughput Analysis of Massive MIMO Uplink with Low-Resolution ADCs
• Massive MIMO with Non-Ideal Arbitrary Arrays: Hardware Scaling Laws and Circuit-Aware Design
• Bayes-Optimal Joint Channel-and-Data Estimation for Massive MIMO with Low-Precision ADCs
• Uplink Achievable Rate for Massive MIMO with Low-Resolution ADC
• On Low-Resolution ADCs in Practical 5G Millimeter-Wave Massive MIMO Systems
• On the Spectral Efficiency of Massive MIMO Systems with Low-Resolution ADCs
• Massive MIMO with 1-bit ADC
• Bayesian Optimal Data Detector for Hybrid mmWave MIMO-OFDM Systems with Low-Resolution ADCs
• Parametric Bilinear Generalized Approximate Message Passing
• Binary MIMO Detection via Homotopy Optimization and Its Deep Adaptation
• Linear Receivers for Massive MIMO Systems with One-Bit ADCs
• Massive MIMO Channel Estimation with Low-Resolution Spatial Sigma-Delta ADCs