Published June 25, 2007
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On the degree of MIMO systems
Abstract
MIMO channels and wireless communications systems have generated a great deal of renewed interest in linear system theory. This paper presents two results. The first is a simple proof based on first principles, of the known fact that the McMillan degree of a causal M×M MIMO system is at least as large as the degree of its determinant. The second is a new result which shows that the degree of the M×M system z^(−1) G(z) is equal to the degree of G(z) plus M if and only if the causal system G(z) has an anticausal inverse.
Additional Information
© 2007 IEEE. Issue Date: 27-30 May 2007. Date of Current Version: 25 June 2007. Work supported in parts by the Office of Naval Research grant N00014-06-1-0011 and the California Institute of Technology.Attached Files
Published - Vaidyanathan2007p85872007_Ieee_International_Symposium_On_Circuits_And_Systems_Vols_1-11.pdf
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Vaidyanathan2007p85872007_Ieee_International_Symposium_On_Circuits_And_Systems_Vols_1-11.pdf
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Identifiers
- Eprint ID
- 20610
- Resolver ID
- CaltechAUTHORS:20101101-090318931
Funding
- Office of Naval Research (ONR)
- N00014-06-1-0011
- Caltech
Dates
- Created
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2010-11-01Created from EPrint's datestamp field
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2021-11-09Created from EPrint's last_modified field
Caltech Custom Metadata
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- IEEE International Symposium on Circuits and Systems
- Other Numbering System Name
- INSPEC Accession Number
- Other Numbering System Identifier
- 9539036