TY - JOUR
T1 - Largest Eigenvalue Distribution of Noncircularly-symmetric Wishart-type Matrices with Application to Hoyt-faded MIMO Communications
AU - Moreno-Pozas, Laureano
AU - Morales-Jimenez, David
AU - McKay, Matthew R.
AU - Martos-Naya, Eduardo
PY - 2018/3
Y1 - 2018/3
N2 - This paper is concerned with the largest eigenvalue of the Wishart-type random matrix W=XX† (or W=X†X ), where X is a complex Gaussian matrix with unequal variances in the real and imaginary parts of its entries, i.e., X belongs to the noncircularly symmetric Gaussian subclass. By establishing a novel connection with the well-known complex Wishart ensemble, we here derive exact and asymptotic expressions for the largest eigenvalue distribution of W, which provide new insights on the effect of the real-imaginary variance imbalance of the entries of X. These new results are then leveraged to analyze the outage performance of multiantenna systems with maximal ratio combining subject to Nakagami-q (Hoyt) fading.
AB - This paper is concerned with the largest eigenvalue of the Wishart-type random matrix W=XX† (or W=X†X ), where X is a complex Gaussian matrix with unequal variances in the real and imaginary parts of its entries, i.e., X belongs to the noncircularly symmetric Gaussian subclass. By establishing a novel connection with the well-known complex Wishart ensemble, we here derive exact and asymptotic expressions for the largest eigenvalue distribution of W, which provide new insights on the effect of the real-imaginary variance imbalance of the entries of X. These new results are then leveraged to analyze the outage performance of multiantenna systems with maximal ratio combining subject to Nakagami-q (Hoyt) fading.
U2 - 10.1109/TVT.2017.2737718
DO - 10.1109/TVT.2017.2737718
M3 - Article
SN - 0018-9545
VL - 67
SP - 2756
EP - 2760
JO - IEEE Transactions on Vehicular Technology
JF - IEEE Transactions on Vehicular Technology
IS - 3
ER -