Space–time block code: Difference between revisions

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Strengthen the last line in the previous description of Q-STBCs and connecting the technical contents of Q-STBCs to Alamouti code detection and taking care not to paraphrase from other sources
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: <math>r_\max = \frac{n_0 + 1}{2n_0},</math>
 
where <math>n_T = 2n_0</math> or <math>n_T = 2n_0 - 1</math>, if no linear processing is allowed in the code matrix (the above maximal rate proved in<ref name="COD"/> only applies to the original definition of orthogonal designs, i.e., any entry in the matrix is <math>0, c_i, -c_i, c_i^*,</math>, or <math>-c_i^*</math>, which forces that any variable <math>c_i</math> can not be repeated in any column of the matrix). This rate limit is conjectured to hold for any complex orthogonal space-time block codes even when any linear processing is allowed among the complex variables.<ref name="bounds" /> Closed-form recursive designs have been found.<ref>{{cite journal|author1=Kejie Lu |author2=Shengli Fu |author3=Xiang-Gen Xia |name-list-style=amp |title=Closed-Form Designs of Complex Orthogonal Space-Time Block Codes of Rates (k+1)/(2k) for 2k-1 or 2k Transmit Antennas|journal=IEEE Transactions on Information Theory|pages=4340–4347|volume=51|issue=12|date=December 2005|doi=10.1109/TIT.2005.858943|doi-access=free}}</ref>
 
==Quasi-orthogonal STBCs==