DIFFERENTIAL GEOMETRY IN ARRAY PROCESSING
by Athanassios Manikas (Imperial College London, UK)
In view of the significance of the array manifold in array processing and array communications, the role of differential geometry as an analytical tool cannot be overemphasized. Differential geometry is mainly confined to the investigation of the geometric properties of manifolds in three-dimensional Euclidean space R3 and in real spaces of higher dimension.
Extending the theoretical framework to complex spaces, this invaluable book presents a summary of those results of differential geometry which are of practical interest in the study of linear, planar and three-dimensional array geometries.
Contents:
- Differential Geometry of Array Manifold Curves
- Differential
Geometry of Array Manifold Surfaces
- Non-Linear Arrays: (q, f)-Parametrization of Array Manifold Surfaces
- Non- Linear Arrays: (a, b)-Parametrization
- Array Ambiguities
- More on Ambiguities: Symmetrical Arrays
- Array Bounds
Readership: Graduate students, researchers and practitioners in electrical and
electronic engineering.
“This book tries to tackle a very difficult problem in array processing using a more cohesive mathematical structure, and provides some array processing applications' specific results. It is a useful addition to the array processing literature.”
"The text is short considering the number of ideas presented, but it is very well written and explained. It would be the ideal companion to the author's many excellent papers on the subject from which the book is largely drawn. It is readable, has a logical progression and the narrative is supported by good diagrams. It is highly recommended."
International Journal of Numerical Modelling:
Electronic Networks, Devices and Fields |
| 232pp |
Pub. date: Aug 2004 |
