Capacity Analysis of Power Beacon-Assisted Energy Harvesting MIMO System Over \kappa -\mu Shadowed Fading Channels

• Published in: IEEE transactions on vehicular technology Vol. 70; no. 11; pp. 11869 - 11880
• Main Authors: Yang, Jing, Wu, Xinyu, Peppas, Kostas P., Mathiopoulos, P. Takis
• Format: Journal Article
• Language: English
• Published: IEEE 01.11.2021
• Subjects: <inline-formula xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"> <tex-math notation="LaTeX"> kappa</tex-math> </inline-formula>-<inline-formula xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"> <tex-math notation="LaTeX"> mu</tex-math> </inline-formula> shadowed channels; Energy harvesting; ergodic capacity; Fading channels; MIMO; MIMO communication; PB-assisted; Wireless communication
• ISSN: 0018-9545; 1939-9359
• DOI: 10.1109/TVT.2021.3116190

In this paper, novel ergodic capacity (EC) performance evaluation results of a power beacon (PB)-assisted multi-input multi-output (MIMO) wireless powered communication network are presented. In the considered system, the energy harvesting node harvests energy from the radio-frequency signals sent by the dedicated PB and uses this energy to communicate with the destination node. To accurately model the combined effect of multi-path fading and shadowing, it is assumed that the energy transfer link is subject to <inline-formula><tex-math notation="LaTeX">\kappa</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">\mu</tex-math></inline-formula> shadowed fading. Performance evaluation results are presented for two cases, depending upon the availability of channel state information (CSI) at the PB, namely, <inline-formula><tex-math notation="LaTeX">no</tex-math></inline-formula> CSI and <inline-formula><tex-math notation="LaTeX">full</tex-math></inline-formula> CSI. In the former case, equal power allocation is assumed, whereas, in the later case, energy beamforming is employed to increase energy transfer efficiency. For the performance evaluation of EC under <inline-formula><tex-math notation="LaTeX">full</tex-math></inline-formula> CSI, a closed-form approximation for the probability density function of the maximum eigenvalue of a <inline-formula><tex-math notation="LaTeX">\kappa</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">\mu</tex-math></inline-formula> shadowed distributed random matrix is derived. For both <inline-formula><tex-math notation="LaTeX">no</tex-math></inline-formula> CSI and <inline-formula><tex-math notation="LaTeX">full</tex-math></inline-formula> CSI cases, lower and upper bounds on the achievable EC are derived in closed-form. Moreover, in order to obtain further insights on the impact of key parameters on the system performance, asymptotic EC expressions which become very tight at low- and high-signal-to-noise ratio regimes, are obtained. Using the proposed EC lower bound as well as these asymptotic results, simple closed-form expressions for the optimal time split that maximize the achievable EC are derived. Numerically evaluated results accompanied with Monte-Carlo simulations are further presented to corroborate the theoretical analysis.