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A complex gradient operator and its application in adaptive array theory
Abstract
The problem of minimising a real scalar quantity (for example array output power, or mean square error) as a function of a complex vector (the set of weights) frequently arises in adaptive array theory. A complex gradient operator is defined in the paper for this purpose and its use justified. Three examples of its application to array theory problems are given.
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Cited by
Gradient of mutual information in linear vector Gaussian channels
Palomar, D. P., & Verdu, S. (2006) · IEEE Transactions on Information Theory · doi:10.1109/tit.2005.860424 · Cited by 363
The eigencanceler: adaptive radar by eigenanalysis methods
Haimovich, A. (1996) · IEEE Transactions on Aerospace and Electronic Systems · doi:10.1109/7.489498 · Cited by 265
A class of frequency-domain adaptive approaches to blind multichannel identification
Huang, Y., & Benesty, J. (2003) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2002.806559 · Cited by 199
Amin, M. F., Amin, M. I., Al-Nuaimi, A. Y. H., & Murase, K. (2011) · Lecture Notes in Computer Science · doi:10.1007/978-3-642-24955-6_66 · Cited by 65
Metadata
- Authors
- Brandwood, D. H.
- Venue
- IEE Proceedings H Microwaves, Optics and Antennas
- Published
- 1983
- Volume
- 130
- Issue
- 1
- Pages
- 11
- ISSN
- 0143-7097 (ISSN-L)
- OpenAlex
- W3095095911
- Cited by
- 347
- References
- 0
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: A complex gradient operator and its application in adaptive array theory. https://app.cochat.ai/papers/10.1049/ip-h-1.1983.0004
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- Brandwood, D. H. (1983). A complex gradient operator and its application in adaptive array theory. IEE Proceedings H Microwaves, Optics and Antennas. https://doi.org/10.1049/ip-h-1.1983.0004
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