Complex-valued matrix derivatives: with applications in signal processing and communications
In this complete introduction to the theory of finding derivatives of scalar-, vector- and matrix-valued functions with respect to complex matrix variables, Hjørungnes describes an essential set of mathematical tools for solving research problems where unknown parameters are contained in complex-val...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2011
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBY01 Volltext |
| Zusammenfassung: | In this complete introduction to the theory of finding derivatives of scalar-, vector- and matrix-valued functions with respect to complex matrix variables, Hjørungnes describes an essential set of mathematical tools for solving research problems where unknown parameters are contained in complex-valued matrices. The first book examining complex-valued matrix derivatives from an engineering perspective, it uses numerous practical examples from signal processing and communications to demonstrate how these tools can be used to analyze and optimize the performance of engineering systems. Covering un-patterned and certain patterned matrices, this self-contained and easy-to-follow reference deals with applications in a range of areas including wireless communications, control theory, adaptive filtering, resource management and digital signal processing. Over 80 end-of-chapter exercises are provided, with a complete solutions manual available online |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xxi, 247 pages) |
| ISBN: | 9780511921490 |
| DOI: | 10.1017/CBO9780511921490 |
Internformat
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Background material -- Theory of complex-valued matrix derivatives -- Development of complex-valued derivative formulas -- Complex Hessian matrices for scalar, vector, and matrix functions -- Generalized complex-valued matrix derivatives -- Applications in signal processing and communications | |
| 520 | |a In this complete introduction to the theory of finding derivatives of scalar-, vector- and matrix-valued functions with respect to complex matrix variables, Hjørungnes describes an essential set of mathematical tools for solving research problems where unknown parameters are contained in complex-valued matrices. The first book examining complex-valued matrix derivatives from an engineering perspective, it uses numerous practical examples from signal processing and communications to demonstrate how these tools can be used to analyze and optimize the performance of engineering systems. Covering un-patterned and certain patterned matrices, this self-contained and easy-to-follow reference deals with applications in a range of areas including wireless communications, control theory, adaptive filtering, resource management and digital signal processing. Over 80 end-of-chapter exercises are provided, with a complete solutions manual available online | ||
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| 650 | 4 | |a Systems engineering | |
| 650 | 4 | |a Signal processing / Mathematical models | |
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Datensatz im Suchindex
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| author | Hjørungnes, Are 1971-2011 |
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| contents | Background material -- Theory of complex-valued matrix derivatives -- Development of complex-valued derivative formulas -- Complex Hessian matrices for scalar, vector, and matrix functions -- Generalized complex-valued matrix derivatives -- Applications in signal processing and communications |
| ctrlnum | (ZDB-20-CBO)CR9780511921490 (OCoLC)839022982 (DE-599)BVBBV043945768 |
| dewey-full | 621.382/2 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.382/2 |
| dewey-search | 621.382/2 |
| dewey-sort | 3621.382 12 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| doi_str_mv | 10.1017/CBO9780511921490 |
| format | Electronic eBook |
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| id | DE-604.BV043945768 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:24Z |
| institution | BVB |
| isbn | 9780511921490 |
| language | English |
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| physical | 1 online resource (xxi, 247 pages) |
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| publishDate | 2011 |
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| publisher | Cambridge University Press |
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| spelling | Hjørungnes, Are 1971-2011 Verfasser (DE-588)1116612879 aut Complex-valued matrix derivatives with applications in signal processing and communications Are Hjørungnes Cambridge Cambridge University Press 2011 1 online resource (xxi, 247 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Background material -- Theory of complex-valued matrix derivatives -- Development of complex-valued derivative formulas -- Complex Hessian matrices for scalar, vector, and matrix functions -- Generalized complex-valued matrix derivatives -- Applications in signal processing and communications In this complete introduction to the theory of finding derivatives of scalar-, vector- and matrix-valued functions with respect to complex matrix variables, Hjørungnes describes an essential set of mathematical tools for solving research problems where unknown parameters are contained in complex-valued matrices. The first book examining complex-valued matrix derivatives from an engineering perspective, it uses numerous practical examples from signal processing and communications to demonstrate how these tools can be used to analyze and optimize the performance of engineering systems. Covering un-patterned and certain patterned matrices, this self-contained and easy-to-follow reference deals with applications in a range of areas including wireless communications, control theory, adaptive filtering, resource management and digital signal processing. Over 80 end-of-chapter exercises are provided, with a complete solutions manual available online Mathematisches Modell Matrix derivatives Systems engineering Signal processing / Mathematical models Telecommunication / Mathematical models Erscheint auch als Druckausgabe 978-0-521-19264-4 https://doi.org/10.1017/CBO9780511921490 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Hjørungnes, Are 1971-2011 Complex-valued matrix derivatives with applications in signal processing and communications Background material -- Theory of complex-valued matrix derivatives -- Development of complex-valued derivative formulas -- Complex Hessian matrices for scalar, vector, and matrix functions -- Generalized complex-valued matrix derivatives -- Applications in signal processing and communications Mathematisches Modell Matrix derivatives Systems engineering Signal processing / Mathematical models Telecommunication / Mathematical models |
| title | Complex-valued matrix derivatives with applications in signal processing and communications |
| title_auth | Complex-valued matrix derivatives with applications in signal processing and communications |
| title_exact_search | Complex-valued matrix derivatives with applications in signal processing and communications |
| title_full | Complex-valued matrix derivatives with applications in signal processing and communications Are Hjørungnes |
| title_fullStr | Complex-valued matrix derivatives with applications in signal processing and communications Are Hjørungnes |
| title_full_unstemmed | Complex-valued matrix derivatives with applications in signal processing and communications Are Hjørungnes |
| title_short | Complex-valued matrix derivatives |
| title_sort | complex valued matrix derivatives with applications in signal processing and communications |
| title_sub | with applications in signal processing and communications |
| topic | Mathematisches Modell Matrix derivatives Systems engineering Signal processing / Mathematical models Telecommunication / Mathematical models |
| topic_facet | Mathematisches Modell Matrix derivatives Systems engineering Signal processing / Mathematical models Telecommunication / Mathematical models |
| url | https://doi.org/10.1017/CBO9780511921490 |
| work_keys_str_mv | AT hjørungnesare complexvaluedmatrixderivativeswithapplicationsinsignalprocessingandcommunications |