Title :
Proof of the outage probability conjecture for MISO channels
Author :
Abbe, Emmanuel ; Shao-Lun Huang ; Telatar, Emre
Abstract :
It is conjectured in [6] that the covariance matrices minimizing the outage probability under a power constraint for MIMO channels with Gaussian fading are diagonal with either zeros or constant values on the diagonal. In the MISO setting, this is equivalent to conjecture that the Gaussian quadratic forms having largest tail probability correspond to such diagonal matrices. This paper provides a proof of the conjecture in this MISO setting.
Keywords :
Gaussian channels; MIMO communication; covariance matrices; fading channels; probability; Gaussian fading; Gaussian quadratic form; MIMO channel; MISO channel; covariance matrices; diagonal matrices; outage probability conjecture; power constraint; tail probability; Conferences; Covariance matrix; Fading; Information theory; MIMO; Random variables; Symmetric matrices;
Conference_Titel :
Information Theory Workshop (ITW), 2012 IEEE
Conference_Location :
Lausanne
Print_ISBN :
978-1-4673-0224-1
Electronic_ISBN :
978-1-4673-0222-7
DOI :
10.1109/ITW.2012.6404760
