Multi-dimensional hybrid-space SAGE algorithm: joint element-space and beamspace processing

To date, most of the channel parameters are solely estimated in the element-space domain due to implementation simplicity. Although estimation in the beamspace domain can reduce both the dimensionality of data size and numerical complexity, it is only beneficial if applied to arrays with large number of elements. Here, we propose to implement the SAGE algorithm in joint element-space and beamspace, namely the hybrid-space, such that the underlying features of these domains can be exploited. The proposed algorithm retains the advantages in both domains since user can decide to estimate the parameters corresponding to a particular dimension in a more appropriate manner such that optimum performance can be obtained. We describe the general implementation of the frequency domain SAGE algorithm with hybrid-space processing and present sample of estimated results in both the synthetic and real measurement environments