@InProceedings{7362437,
  author = {K. Bell and J. Johnson and C. Baker and G. Smith and M. Rangaswamy},
  booktitle = {2015 23rd European Signal Processing Conference (EUSIPCO)},
  title = {Bistatic coherent MIMO clutter rank analysis},
  year = {2015},
  pages = {519-523},
  abstract = {The rank of the clutter covariance matrix in a bistatic coherent multiple-input multiple-output (MIMO) radar system with arbitrary planar arrays in both the transmitter and receiver is examined. The analysis provides further generalization of {"}Brennan's rule{"} results available for linear arrays in monostatic coherent MIMO and bistatic space-time adaptive processing (STAP) systems. We first extend the two-dimensional (2D) monostatic STAP results of Varadarajan and Krolik (VK) to monostatic MIMO systems with planar arrays. We then use the VK bistatic STAP approach and determine conditions under which a four-dimensional (4D) bistatic MIMO system can be modeled as an equivalent 2D monostatic MIMO system, and apply the 2D results. The analytical expressions are validated against the numerically calculated rank of the theoretical clutter covariance matrix.},
  keywords = {covariance matrices;MIMO radar;planar antenna arrays;radar clutter;space-time adaptive processing;monostatic coherent MIMO;bistatic space-time adaptive processing systems;bistatic STAP systems;two-dimensional monostatic STAP results;Varadarajan and Krolik;VK bistatic STAP approach;four-dimensional bistatic MIMO system;equivalent 2D monostatic MIMO system;linear arrays;Brennan's rule;arbitrary planar arrays;bistatic coherent MIMO radar system;bistatic coherent multiple-input multiple-output radar system;clutter covariance matrix;Clutter;MIMO;Planar arrays;Array signal processing;Doppler effect;Radar;MIMO radar;STAP;bistatic;monos-tatic;clutter rank},
  doi = {10.1109/EUSIPCO.2015.7362437},
  issn = {2076-1465},
  month = {Aug},
  url = {https://www.eurasip.org/proceedings/eusipco/eusipco2015/papers/1570103117.pdf},
}

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The analysis provides further generalization of \"Brennan's rule\" results available for linear arrays in monostatic coherent MIMO and bistatic space-time adaptive processing (STAP) systems. We first extend the two-dimensional (2D) monostatic STAP results of Varadarajan and Krolik (VK) to monostatic MIMO systems with planar arrays. We then use the VK bistatic STAP approach and determine conditions under which a four-dimensional (4D) bistatic MIMO system can be modeled as an equivalent 2D monostatic MIMO system, and apply the 2D results. The analytical expressions are validated against the numerically calculated rank of the theoretical clutter covariance matrix.","keywords":"covariance matrices;MIMO radar;planar antenna arrays;radar clutter;space-time adaptive processing;monostatic coherent MIMO;bistatic space-time adaptive processing systems;bistatic STAP systems;two-dimensional monostatic STAP results;Varadarajan and Krolik;VK bistatic STAP approach;four-dimensional bistatic MIMO system;equivalent 2D monostatic MIMO system;linear arrays;Brennan's rule;arbitrary planar arrays;bistatic coherent MIMO radar system;bistatic coherent multiple-input multiple-output radar system;clutter covariance matrix;Clutter;MIMO;Planar arrays;Array signal processing;Doppler effect;Radar;MIMO radar;STAP;bistatic;monos-tatic;clutter rank","doi":"10.1109/EUSIPCO.2015.7362437","issn":"2076-1465","month":"Aug","url":"https://www.eurasip.org/proceedings/eusipco/eusipco2015/papers/1570103117.pdf","bibtex":"@InProceedings{7362437,\n author = {K. Bell and J. Johnson and C. Baker and G. Smith and M. Rangaswamy},\n booktitle = {2015 23rd European Signal Processing Conference (EUSIPCO)},\n title = {Bistatic coherent MIMO clutter rank analysis},\n year = {2015},\n pages = {519-523},\n abstract = {The rank of the clutter covariance matrix in a bistatic coherent multiple-input multiple-output (MIMO) radar system with arbitrary planar arrays in both the transmitter and receiver is examined. The analysis provides further generalization of {\"}Brennan's rule{\"} results available for linear arrays in monostatic coherent MIMO and bistatic space-time adaptive processing (STAP) systems. We first extend the two-dimensional (2D) monostatic STAP results of Varadarajan and Krolik (VK) to monostatic MIMO systems with planar arrays. We then use the VK bistatic STAP approach and determine conditions under which a four-dimensional (4D) bistatic MIMO system can be modeled as an equivalent 2D monostatic MIMO system, and apply the 2D results. 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