A Design Method of Noncoherent Unitary Space-Time Codes

• 作者: Li Peng Lingling Yang Qiuping Peng
• 来源期刊: 通讯、网络与系统学国际期刊(英文)
• 学科: 数学
• 关键词: 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)
• 年，卷（期）: 2011,（7）
• 页码范围: 430-435
• 页数: 6页
• 分类号: O1

摘要

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.