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This paper studies a multi-hop decode-and-forward (DF) simultaneous wirelessinformation and power transfer (SWIPT) system where a source sends data to adestination with the aid of multi-hop relays which do not depend on an externalenergy source. To this end, we apply power splitting (PS) based SWIPT relayingprotocol so that the relays can harvest energy from the received signals fromthe previous hop to reliably forward the information of the source to thedestination. We aim to solve two optimization problems relevant to our systemmodel. First, we minimize the transmit power at the source under the individualquality-of-service (QoS) threshold constraints of the relays and thedestination nodes by optimizing PS ratios at the relays. The second is tomaximize the minimum system achievable rate by optimizing the PS ratio at eachrelay. Based on convex optimization techniques, the globally optimal PS ratiosolution is obtained in closed-form for both problems. By setting the QoSthreshold constraint the same for each node for the source transmit powerproblem, we discovered that either the minimum source transmit power or themaximum system throughput can be found using the same approach. Numericalresults demonstrate the superiority of the proposed optimal SWIPT PS designover conventional fixed PS ratio schemes.

Simultaneous Wireless Information and Power Transfer for Decode-and-Forward Multi-Hop Relay Systems in Energy-Constrained IoT Networks