Aim To study the value distribution of meromorphic functions in angular domains, the deficiency, the deficient value, the Nevanlinna direction and other singular directions. Methods A fundamental inequality of Nevan...Aim To study the value distribution of meromorphic functions in angular domains, the deficiency, the deficient value, the Nevanlinna direction and other singular directions. Methods A fundamental inequality of Nevanlinna characteristic functions in the angular domain was used, which is similar with the Nevanlinna secondary fundamental theorem. Results The deficiency and deficient value of meromorphic functions about an angular domain and a direction were defined. The definition of Nevanlinna direction was improved. Conclusion For a family of meromorphic functions, it is proved that the number of deficient values is at most countable and the sum of deficiencies isnt greater than 2. The existence of the Nevanlinna direction is obtained. The existence of Borel and Julia directions and the relation between them are found.展开更多
针对收发两端已知信道状态信息的MIMO(multiple input multiple output)系统,研究基于GMD(geometric mean decomposition)算法的VBLAST(vertical bell lab layered space-time)系统空间分集与复用性能。该算法将MIMO信道分解为多个具有...针对收发两端已知信道状态信息的MIMO(multiple input multiple output)系统,研究基于GMD(geometric mean decomposition)算法的VBLAST(vertical bell lab layered space-time)系统空间分集与复用性能。该算法将MIMO信道分解为多个具有相同信噪比的并行子信道,其编解码复杂度低,易于实现。在高信噪比下,对该算法的分集与复用曲线进行分析,结果表明该算法的空间分集与复用性能与最优曲线相比是次优的,但优于其他VBLAST方案。展开更多
文摘Aim To study the value distribution of meromorphic functions in angular domains, the deficiency, the deficient value, the Nevanlinna direction and other singular directions. Methods A fundamental inequality of Nevanlinna characteristic functions in the angular domain was used, which is similar with the Nevanlinna secondary fundamental theorem. Results The deficiency and deficient value of meromorphic functions about an angular domain and a direction were defined. The definition of Nevanlinna direction was improved. Conclusion For a family of meromorphic functions, it is proved that the number of deficient values is at most countable and the sum of deficiencies isnt greater than 2. The existence of the Nevanlinna direction is obtained. The existence of Borel and Julia directions and the relation between them are found.
文摘针对收发两端已知信道状态信息的MIMO(multiple input multiple output)系统,研究基于GMD(geometric mean decomposition)算法的VBLAST(vertical bell lab layered space-time)系统空间分集与复用性能。该算法将MIMO信道分解为多个具有相同信噪比的并行子信道,其编解码复杂度低,易于实现。在高信噪比下,对该算法的分集与复用曲线进行分析,结果表明该算法的空间分集与复用性能与最优曲线相比是次优的,但优于其他VBLAST方案。
