A Framework of Analyzing OMP-Based Channel Estimations in Mobile OFDM Systems

Abstract

To analyze the mean square error (MSE) performance of orthogonal matching pursuit (OMP)-based compressed channel estimation with deterministic pilot patterns, we propose a closed form mathematical framework. The studies show that, given the knowledge of a statistical channel model, the expected MSE of OMP can be predicted well by this proposed framework. The framework establishes a connection between the MSE to be expected and the following four decisive parameters: 1) the deterministic pilot pattern; 2) the maximum Doppler shift; 3) the number of dominant multipath components; and 4) the SNR.