Han, Guangyue (The Univ. of British Columbia), Rosenthal, Joachim (Univ. of Zurich)

Good Packings in the Complex Stiefel Manifold using Numerical Methods

Scheduled for presentation during the Mini-Symposium "Geometric Optimisation in Systems and Control II" (ThA07), Thursday, July 27, 2006, 10:50−11:15, Room H

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

For a wireless communication system with multiple transmit and receive antennas, the problem of designing a good performing constellation (namely a constellation with a large diversity) can be converted into a packing problem in a complex Stiefel manifold. In this paper we propose suitable algebraic structures to obtain good packings in a complex Stiefel manifold by numerical methods. The presented design methods work for any dimension and any cardinality of the constellations.