Thursday, 15:45 - 16:10 h, Room: H 2036

 

Wing-Kin Ma
Semidefinite relaxation in wireless communications: Forefront developments, advances and challenges

 

Abstract:
Semidefinite relaxation (SDR) is well-known to be an efficient high-performance technique for approximating a host of hard, nonconvex optimization problems. And one of its most recognized applications is probably MAXCUT. In fact, SDR has also made its way to signal processing and wireless communications, and the impact is tremendous - today we see not only numerous applications, but also new fundamental concepts and theory driven by the applications themselves. This talk will focus on transmit beamforming, now a key topic in communications. I will provide an overview on its scope, which is quite broad (classical multiuser downlinks, unicasting and multicasting, multicell coordinated multiuser downlinks, cognitive radio, physical layer security, relaying, … ). I will then describe some latest advances that link up fundamentally meaningful optimization studies, like chance-constrained optimization, and rank-two SDR. This will be followed by an open discussion on some mysteries and challenges, noticed by researchers in simulations. For example, why does SDR give us a rank-one solution for some hard problems that involve semi-infinite quadratic constraints, seemingly all the time?

 

Talk 2 of the invited session Thu.3.H 2036
"Conic optimization and signal processing applications" [...]
Cluster 4
"Conic programming" [...]

 

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