Upper bounds of rates of complex orthogonal space-time block code
Upper bounds of rates of complex orthogonal space-time block code
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DOI：
10.1109/tit.2003.817830
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发表时间：
2003-10
期刊：
影响因子：
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通讯作者：
Haiquan Wang;X. Xia
中科院分区：
文献类型：
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作者：
Haiquan Wang;X. Xia
我们得到了（广义）复正交空时分组码的速率的上界。我们首先提出了复正交设计的一些新的性质，然后证明了复正交空时分组码的两个以上的发射天线的速率上限为3/4。我们表明，广义复正交空时分组码的两个以上的发射天线的速率上限为4/5，其中列向量的范数可能不一定相同。在一定的条件下，我们还给出了另一个上界。对于（广义）复正交设计，其变量不限于任何字母集，而是在整个复平面上。还考虑了复平面上的某些字母集上的变量的（广义）复正交设计。我们得到一个条件的字母集，使一个（广义）复正交设计的变量在这些字母集也是一个传统的（广义）复正交设计，因此，其速率上界也成立。我们表明，常用的正交幅度调制（QAM）星座的大小超过4满足这个条件。
We derive some upper bounds of the rates of (generalized) complex orthogonal space-time block codes. We first present some new properties of complex orthogonal designs and then show that the rates of complex orthogonal space-time block codes for more than two transmit antennas are upper-bounded by 3/4. We show that the rates of generalized complex orthogonal space-time block codes for more than two transmit antennas are upper-bounded by 4/5, where the norms of column vectors may not be necessarily the same. We also present another upper bound under a certain condition. For a (generalized) complex orthogonal design, its variables are not restricted to any alphabet sets but are on the whole complex plane. A (generalized) complex orthogonal design with variables over some alphabet sets on the complex plane is also considered. We obtain a condition on the alphabet sets such that a (generalized) complex orthogonal design with variables over these alphabet sets is also a conventional (generalized) complex orthogonal design and, therefore, the above upper bounds on its rate also hold. We show that commonly used quadrature amplitude modulation (QAM) constellations of sizes above 4 satisfy this condition.