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arXiv 0812.2458cs.ITmath.IT
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任意$2^m$序列无零元的平方复正交设计

Square Complex Orthogonal Designs with no Zero Entry for any $2^m$ Antennas

Smarajit Das, B. Sundar Rajan

摘要:

基于平方复正交设计的空时分组码(SCOD)已经得到了广泛的研究,现有的SCOD大多包含大量的零。设计中的零导致高的峰均功率比,并且还对代码的硬件实现施加严格的约束,同时每当发送零时关闭一些发送天线。近来,每当$a+1$是2的幂时,已经为$2^a$发射天线构造了没有零条目的SCOD。虽然存在用于4个和16个发射天线的没有零项的代码,但是没有给出用于任何数目的发射天线的代码的一般构造方法。在本文中,我们构造的SCOD的任何权力的2数量的发射天线,其所有条目非零。仿真结果表明,对于相同天线数,在峰值功率约束下,本文构造的码性能优于现有的码,而在平均功率约束下,性能与现有的码相同。

英文摘要:

Space-time block codes from square complex orthogonal designs (SCOD) have been extensively studied and most of the existing SCODs contain large number of zeros. The zeros in the designs result in high peak-to-average power ratio and also impose a severe constraint on hardware implementation of the code while turning off some of the transmitting antennas whenever a zero is transmitted. Recently, SCODs with no zero entry have been constructed for $2^a$ transmit antennas whenever $a+1$ is a power of 2. Though there exists codes for 4 and 16 transmit antennas with no zero entry, there is no general method of construction which gives codes for any number of transmit antennas. In this paper, we construct SCODs for any power of 2 number of transmit antennas having all its entries non-zero. Simulation results show that the codes constructed in this paper outperform the existing codes for the same number of antennas under peak power constraint while performing the same under average power constraint.

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