Optimal Amplify-and-Forward Precode and Relay Amplifying Matrices

Abstract

needed for others to directly quote significant amounts of information in their own work or to summarize substantial amounts of information in their own work. Limited amounts of information cited, paraphrased, or summarized from the work may be used with proper citation of where to find the original work. iii OPTIMAL AMPLIFY-AND-FORWARD PRECODE AND RELAY AMPLIFYING MATRICESThe following faculty members have examined the final copy of this thesis for form and content, and recommend that it be accepted in partial fulfillment of the requirement for the degree of Master of Science with a major in Electrical Engineering. Hu for being part of the adjudicating committee. Lastly, I express my sincere gratitude to the Republic of Korea Air Force, which provided me the opportunity to study abroad. This experience has proven to be very valuable, and I promise to make a commitment to my country. _________________________________________vi ABSTRACT A cooperative amplify-and-forward (AF) wireless relay scheme consisting of M sources, N relays, and L destinations all equipped with a single antenna was studied in this thesis. The main objective was to design jointly and iteratively the closed form of the minimum mean square error (MMSE)-based source precode and relay amplifying matrices under a jamming environment with various power constraints: (1) transmit, (2) aggregate, (3) source, and (4) relay. With the derived optimal source precode and relay amplifying matrices, the jamming influence of various power constraints on system performance were examined numerically usingMonte-Carlo simulations.vii

A Joint MMSE Scheme for Multiuser AF Relaying Systems Under Power Constraints

“…In [5], single-user AF relay schemes with multiple antennas per communication node were studied both with and without direct links between a source and a destination. Additionally, over the past years, dispersed multiuser AF relay techniques well known for achieving the gain of spatial diversity order and multiplexing were studied in [1]- [3], [6], and [7].…”

“…In [1]- [3], due to the assumption of multiple relay cooperation during data transmission, the optimal nondiagonal relay amplifying matrices under relay transmit power constraints were determined. However, in [6] and [7], due to the assumption of multiple relay noncooperation, the optimal diagonal relay amplifying matrices under the no-power constraint were designed.…”