A Reduced Feedback Precoder for MIMO-OFDM Cooperative Diversity Systems

• Published in: IEEE transactions on vehicular technology Vol. 61; no. 2; pp. 584 - 596
• Main Authors: Kyeong Jin Kim, Yijia Fan, Iltis, R. A., Poor, H. V., Moon Ho Lee
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-02-2012; Institute of Electrical and Electronics Engineers
• Subjects: Achievable average sum-rate; Applied sciences; Circuit properties; Coding, codes; Connection and protection apparatus; cooperative relay network; Electric, optical and optoelectronic circuits; Electrical engineering. Electrical power engineering; Electronic circuits; Electronics; Estimation; Exact sciences and technology; Grassmannian codebook; Information, signal and communications theory; Joints; Kernel; kernel density estimation (KDE); multiple-input-multiple-output-orthogonal frequency-division multiplexing (MIMO-OFDM) feedback overhead; Multiplexing; OFDM; outage probability; precoder; Probability density function; QR decomposition (QRD); Relays; Signal and communications theory; Signal convertors; Telecommunications and information theory; two-hop amplify-and-forward (AF) protocol; Vectors; Density estimation; Relay; Relay network; Density measurement; Feedback regulation; Power system stability; kernel density estimation (KDE); QR decomposition (QRD); cooperative relay network; Subcarrier; Achievable average sum-rate; Accuracy; Codebook; outage probability; Feedback; Coding; Probability density function; Pretreatment; Singular value decomposition; MIMO system; Monte Carlo method; Outage; two-hop amplify-and-forward (AF) protocol; Coding circuit; Transmission protocol; Cooperative systems; precoder; Grassmannian codebook; multiple-input-multiple-output-orthogonal frequency-division multiplexing (MIMO-OFDM) feedback overhead; Kernel method; Statistical method; QR factorization; Orthogonal frequency division multiplexing; Numerical simulation; Comparative study
• ISSN: 0018-9545; 1939-9359
• DOI: 10.1109/TVT.2011.2181548

A new precoder that reduces the feedback overhead in an orthogonal frequency-division multiplexing (OFDM)-based relay network is proposed. A joint singular value decomposition (SVD) and QR decomposition is employed on the source-destination link and the source-relay-destination link. Using the proposed precoder, only one precoding matrix needs to be fed back, independent of the total number of subcarriers. Kernel density estimation is applied to determine approximate forms of unknown distributions of the end-to-end effective channel powers obtained by this precoder. Using approximated probability density functions (pdfs) for these effective channel powers, closed-form expressions for the link achievable average sum-rate and the outage probability can be derived and then their accuracies verified via Monte Carlo simulations. The achievable sum-rates are also compared with that of SVD-based precoders and for varying codebook size.