Title :
Exact Closed-Form Expressions for the Outage Probability and Ergodic Capacity of Decode-and-Forward Opportunistic Relaying
Author :
Nikjah, Reza ; Beaulieu, Norman C.
Author_Institution :
Dept. Electr. Comp. Eng., Univ. of Alberta Edmonton, Edmonton, AB, Canada
Abstract :
Exact statistics of the local signal-to-noise ratios (SNRs) of the best relay in decode-and-forward (DF) opportunistic relaying (ORe) are derived. It is observed that although the different links are assumed to suffer independent fadings, the best-relay local SNRs are dependent. Both joint and marginal statistics are determined for the general case of nonidentical SNR distributions, and a source-relay-symmetric (S-R-sym.), relay-destination-symmetric (R-D-sym.) case. Both general fading and Rayleigh fading cases are considered. Using the statistics derived, exact, closed-form expressions for the outage probability and ergodic capacity of DF ORe are calculated in the S-R-sym., RD-sym., Rayleigh fading case. The exact results for the outage probability show almost linearly increasing diversity order with the number of relays. The exact results for the ergodic capacity show a multiplexing gain almost equaling one half and a power gain increasing with the number of relays that exhibits diminishing returns.
Keywords :
Rayleigh channels; channel capacity; decoding; multiplexing; probability; Rayleigh fading case; decode-and-forward opportunistic relaying; ergodic capacity; joint statistics; local signal-to-noise ratios; marginal statistics; multiplexing gain; nonidentical SNR distributions; outage probability; relay-destination-symmetric; source-relay-symmetric; Capacity planning; Chromium; Closed-form solution; Collaboration; Decoding; Probability; Rayleigh channels; Relays; Signal to noise ratio; Statistics;
Conference_Titel :
Global Telecommunications Conference, 2009. GLOBECOM 2009. IEEE
Conference_Location :
Honolulu, HI
Print_ISBN :
978-1-4244-4148-8
DOI :
10.1109/GLOCOM.2009.5425888