On the maximal rate of non-square STBCs from complex orthogonal designs

Mohammed, Saif Khan ; Sundar Rajan, B. ; Chockalingam, A. (2007) On the maximal rate of non-square STBCs from complex orthogonal designs In: IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference, 26-30 November 2007, Washington, DC, USA.

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Official URL: http://ieeexplore.ieee.org/document/4411239/

Related URL: http://dx.doi.org/10.1109/GLOCOM.2007.329

Abstract

A linear processing complex orthogonal design (LPCOD) is a ptimesn matrix epsiv, (pgesn) in k complex indeterminates x1,x2,...,xk such that (i) the entries of epsiv are complex linear combinations of 0, plusmnxi, i = 1,...,k and their conjugates, (ii) epsivHepsiv = D, where epsivH is the Hermitian (conjugate transpose) of epsiv and D is a diagonal matrix with the (i,i)-th diagonal element of the form l1(i)|x1|2 + l2(i)|x2|2 +...+ lk(i)|xk|2 where lj(i),i = 1,2,...,n, j = 1,2,...,k are strictly positive real numbers and the condition l1(i) = l2(i) =...= lk(i), called the equal- weights condition, holds for all values of i. For square designs it is known that whenever a LPCOD exists without the equal-weights condition satisfied then there exists another LPCOD with identical parameters with l1(i) = l2(i) =...=lk(i) = 1. This implies that the maximum possible rate for square LPCODs without the equal-weights condition is the same as that of square LPCODs with equal-weights condition. In this paper, this result is extended to a subclass of non-square LPCODs. It is shown that, a set of sufficient conditions is identified such that whenever a non- square (p>n) LPCOD satisfies these sufficient conditions and do not satisfy the equal-weights condition, then there exists another LPCOD with the same parameters n, k and p in the same complex indeterminates with l1(i)=l2(i) =...= lk (i) = 1.

Item Type:Conference or Workshop Item (Paper)
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ID Code:102367
Deposited On:26 Mar 2017 14:36
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