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arXiv 1102.3298cs.ITmath.ITmath.RA
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环Q上交叉积代数的一类快速可译码MIDO码

A family of fast-decodable MIDO codes from crossed-product algebras over Q

Laura Luzzi, Frédérique Oggier

摘要:

用于4个发射天线和2个接收天线的多输入双输出(MIDO)非对称空时码可以在从基站到便携式设备的下行链路中采用。以前的MIDO码构造具有低的最大似然(ML)解码复杂度,全分集和非零行列式(NVD)属性大多是基于循环除代数。本文基于环Q上的叉积代数,引入了一类新的具有NVD性质的MIDO码。快速可解码性自然地从码字的结构得出,码字由四个广义的Alamanet块组成。相关联的ML复杂度阶数是全速率MIDO码已知的最低阶数(相对于实际星座大小M,为O(M^{10})而不是O(M^{16}))。数值模拟表明,这些代码有一个性能从可比高达1dB的增益相比,最有名的MIDO码具有相同的复杂度。

英文摘要:

Multiple Input Double Output (MIDO) asymmetric space-time codes for 4 transmit antennas and 2 receive antennas can be employed in the downlink from base stations to portable devices. Previous MIDO code constructions with low Maximum Likelihood (ML) decoding complexity, full diversity and the non-vanishing determinant (NVD) property are mostly based on cyclic division algebras. In this paper, a new family of MIDO codes with the NVD property based on crossed-product algebras over Q is introduced. Fast decodability follows naturally from the structure of the codewords which consist of four generalized Alamouti blocks. The associated ML complexity order is the lowest known for full-rate MIDO codes (O(M^{10}) instead of O(M^{16}) with respect to the real constellation size M). Numerical simulations show that these codes have a performance from comparable up to 1dB gain compared to the best known MIDO code with the same complexity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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