Impact of Residual Transmit RF Impairments on Training-Based MIMO Systems

Xinlin Zhang, Michail Matthaiou, Mikael Coldrey, Emil Björnson

Research output: Chapter in Book/Report/Conference proceedingForeword/postscript

58 Citations (Scopus)


Radio-frequency (RF) impairments, which intimately exist in wireless communication systems, can severely limit the performance of multiple-input-multiple-output (MIMO) systems. Although we can resort to compensation schemes to mitigate some of these impairments, a certain amount of residual impairments always persists. In this paper, we consider a training-based point-to-point MIMO system with residual transmit RF impairments (RTRI) using spatial multiplexing transmission. Specifically, we derive a new linear channel estimator for the proposed model, and show that RTRI create an estimation error floor in the high signal-to-noise ratio (SNR) regime. Moreover, we derive closed-form expressions for the signal-to-noise-plus-interference ratio (SINR) distributions, along with analytical expressions for the ergodic achievable rates of zero-forcing, maximum ratio combining, and minimum mean-squared error receivers, respectively. In addition, we optimize the ergodic achievable rates with respect to the training sequence length and demonstrate that finite dimensional systems with RTRI generally require more training at high SNRs than those with ideal hardware. Finally, we extend our analysis to large-scale MIMO configurations, and derive deterministic equivalents of the ergodic achievable rates. It is shown that, by deploying large receive antenna arrays, the extra training requirements due to RTRI can be eliminated. In fact, with a sufficiently large number of receive antennas, systems with RTRI may even need less training than systems with ideal hardware.
Original languageEnglish
Title of host publicationIEEE Transactions on Communications
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages12
Publication statusPublished - 13 Aug 2015
Event2014 IEEE International Conference on Communications (ICC) - Sydney, Australia
Duration: 10 Jun 201414 Jun 2014


Conference2014 IEEE International Conference on Communications (ICC)


  • cs.IT
  • math.IT


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