On the Singular Spectrum of the Radiation Operator for Multiple and Extended Observation Domains
The problem of studying how spatial diversity impacts on the spectrum (singular values) of the radiation operator is addressed. This topic is of great importance because of its connection with the so-called number of degrees of freedom concept which in turn is a key parameter in inverse source probl...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2013/585238 |
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| Summary: | The problem of studying how spatial
diversity impacts on the spectrum (singular values) of the
radiation operator is addressed. This topic is of great importance
because of its connection with the so-called number of degrees of
freedom concept which in turn is a key parameter in inverse source
problems as well as to the problem of transmitting information by
waves from a source domain to an observation domain. The case of a bounded rectilinear source with the
radiated field observed over multiple bounded rectilinear domains
parallel to the source is considered. Then, the analysis is
generalized to two-dimensional extended observation domains.
Analytical arguments are developed to estimate the pertinent
singular value behavior. This allows highlighting the way
observation domain features affect spectrum behavior. Numerical
examples are shown to support the analytical results. |
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| ISSN: | 1687-5869 1687-5877 |