A Simple Construction of Nonvanishing Determinant Space-Time Block Codes Based on Cyclic Division Algebra
نویسندگان
چکیده
Cyclic division algebra (CDA) has recently become a major technique to construct nonvanishing determinant (NVD) space-time block codes. The CDA based construction method usually consists of two steps. The first step is to construct a degree-n cyclic extension over a base field and the second step is to find a non-norm algebraic integer in the base field. In this paper, we first propose a simple construction method for cyclic extensions and then propose an elementary condition for nonnorm elements for QAM and HEX signal constellations. Design examples are shown for n = 2 to n = 20, where n is the number of transmit antennas, and it is shown that with our newly proposed construction, non-norm elements with smaller absolute values than the existing ones can be found.
منابع مشابه
Pumpluen, Susanne (2014) How to obtain division algebras used for fast-decodable space-time block
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