Differential Geometry in Array Processing
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Author(s): A. Manikas
Publisher: Imperial College Press
ISBN: 186094423X
Format: softback
218pp
Price: £25.00
Review Date: 08 April 2005
Review: Array processing has a huge number of applications and has recently experienced increased interest with the realisation that arrays have a potentially major role to play in the development of communications systems, wireless computing, biomedicine (bio-array processing) and environmental monitoring. The structure of the array of sensors used is completely characterised by the array manifold. The array manifold is a fundamental concept, defined as the locus of all the response vectors of the array over a feasible set of source/signal parameters. Because of the nature of the array manifold and its significance in array processing and array communications, differential geometry is found to be the most appropriate analysis tool. Here the differential geometry is confined to the investigation of the geometric properties of manifolds in 3D Euclidean space R3 and in real spaces of higher dimension. In extending the theoretical framework to complex spaces, this book gives a summary of the results of differential geometry that are of practical interest in the study of linear, planar and 3D array geometries.