English

Channel Estimation and Data Equalization in Frequency-Selective MIMO Systems with One-Bit Quantization

Information Theory 2021-03-09 v2 math.IT

Abstract

This paper addresses channel estimation and data equalization on frequency-selective 1-bit quantized Multiple Input-Multiple Output (MIMO) systems. No joint processing or Channel State Information is assumed at the transmitter, and therefore our findings are also applicable to the uplink of Multi-User MIMO systems. System models for both Orthogonal Division Frequency Multiplexing (OFDM) and single-carrier schemes are developed. A Cram\'er-Rao Lower Bound for the estimation problems is derived. The two nonlinear algorithms Expectation Maximization (EM) and Generalized Approximate Message Passing (GAMP) are adapted to the problems, and a linear method based on the Bussgang theorem is proposed. In the OFDM case, the linear method enables subcarrier-wise estimation, greatly reducing computational complexity. Simulations are carried out to compare the algorithms with different settings. The results turn out to be close to the Cram\'er-Rao bound in the low Signal to Noise Ratio (SNR) region. The OFDM setting is more suitable for the nonlinear algorithms, and that the linear methods incur a performance loss with respect to the nonlinear approaches. In the relevant low and medium SNR regions, the loss amounts to 2-3 dB and might well be justified in exchange for the reduced computational effort, especially in Massive MIMO settings.

Keywords

Cite

@article{arxiv.1609.04536,
  title  = {Channel Estimation and Data Equalization in Frequency-Selective MIMO Systems with One-Bit Quantization},
  author = {Javier García and Jawad Munir and Kilian Roth and Josef A. Nossek},
  journal= {arXiv preprint arXiv:1609.04536},
  year   = {2021}
}
R2 v1 2026-06-22T15:50:24.232Z