Z. Utkovski, P. C. Chen and J. Lindner, “Some Geometric Methods for Construction of Space-Time Codes in Grassmann Manifolds,” Proceedings of the 46th Annual Allerton Conference on Communication, Urbana-Cham- paign, September 2008, pp. 111-118.

has been cited by the following article:

• TITLE: A Design Method of Noncoherent Unitary Space-Time Codes

  AUTHORS: Li Peng, Qiuping Peng, Lingling Yang

  KEYWORDS: Noncoherent Uintary Space-Time Codes (N-USTC), Coherent Space-Time Codes (C-STC), Grassmann Manifold, Degree of Freedom, Exponenatial Map, Full Rate and Full Diversity (FRFD)

  JOURNAL NAME: International Journal of Communications, Network and System Sciences, Vol.4 No.7, July 11, 2011

  ABSTRACT: We generalized an constructing method of noncoherent unitary space time codes (N-USTC) over Rayleigh flat fading channels. A family of N-USTCs with T symbol peroids, M transmit and N receive antennas was constructed by the exponential mapping method based on the tangent subspace of the Grassmann manifold. This exponential mapping method can transform the coherent space time codes (C-STC) into the N-USTC on the Grassmann manifold. We infered an universal framework of constructing a C-STC that is designed by using the algebraic number theory and has full rate and full diversity (FRFD) for t symbol periods and same antennas, where M, N, T, t are general positive integer. We discussed the constraint condition that the exponential mapping has only one solution, from which we presented a approach of searching the optimum adjustive factor αopt that can generate an optimum noncoherent codeword. For different code parameters M, N, T, t and the optimum adjustive factor αopt, we gave the simulation results of the several N-USTCs.