Asymptotic behavior of random vandermonde matrices with entries on the unit circle
IEEE Transactions on Information Theory
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
Asymptotic analysis of multidimensional jittered sampling
IEEE Transactions on Signal Processing
Channel estimation in wireless OFDM systems with irregular pilot distribution
IEEE Transactions on Signal Processing
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We focus on a multidimensional field with uncorrelated spectrum and study the quality of the reconstructed signal when the field samples are irregularly spaced and affected by independent and identically distributed noise. More specifically, we apply linear reconstruction techniques and take the mean-square error (MSE) of the field estimate as a metric to evaluate the signal reconstruction quality. We find that the MSE analysis could be carried out by using the closed-form expression of the eigenvalue distribution of the matrix representing the sampling system. Unfortunately, such distribution is still unknown. Thus, we first derive a closed-form expression of the distribution moments, and we find that the eigenvalue distribution tends to the Marcenko-Pastur distribution as the field dimension goes to infinity. Finally, by using our approach, we derive a tight approximation to the MSE of the reconstructed field.