Extended array manifolds
Georgios Efstathopoulos · Spiral (Imperial College London) · 2008
This thesis is concerned with the investigation of the extended array manifolds and their applications. Extended array manifolds are an extension of the spa-tial array manifold by incorporating additional channel parameters, such as the CDMA code, the lack of synchronisation, etc. Initially, the geometric properties of these manifolds are derived using differential geometry. Then the theoretical knowledge acquired by this investigation is used to estimate theoretical perfor-mance bounds for array systems, analyse the performance of channel estimation algorithms and finally design a novel algorithm for array calibration in a non-stationary signal environment. Firstly, the concept of the “extended ” array manifolds is introduced. This generic model is shown to accommodate both existing and newly defined ex-tensions of the widely employed in the literature spatial array manifold. The geometry of the extended array manifolds is studied and the theoretical results are then readily applied to estimate the geometric properties of various array manifolds.