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On circularity
Abstract
Circularity is an assumption that was originally introduced for the definition of the probability distribution function of complex normal vectors. However, this concept can be extended in various ways for nonnormal vectors. The first purpose of the paper is to introduce and compare some possible definitions of circularity. From these definitions, it is also possible to introduce the concept of circular signals and to study whether or not the spectral representation of stationary signals introduces circular components. Therefore, the relationships between circularity and stationarity are analyzed in detail. Finally, the theory of linear mean square estimation for complex signals exhibits some connections with circularity, and it is shown that without this assumption, the estimation theory must be reformulated.>
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Cited by
The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes
Took, C. C., & Mandic, D. P. (2009) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2008.2010600 · Cited by 332
MIMO Transceiver Design via Majorization Theory
Palomar, D. P., & Jiang, Y. (2007) · Foundations and Trends in Communications and Information Theory · doi:10.1561/0100000018 · Cited by 320
Cloud-Aided Cognitive Ambient Backscatter Wireless Sensor Networks
Darsena, D., Gelli, G., & Verde, F. (2019) · IEEE Access · doi:10.1109/access.2019.2914001 · Cited by 36
Metadata
- Authors
- Picinbono, B.
- Venue
- IEEE Transactions on Signal Processing
- Published
- 1994
- Volume
- 42
- Issue
- 12
- Pages
- 3473-3482
- ISSN
- 1053-587X (ISSN-L)
- OpenAlex
- W2294288691
- Cited by
- 522
- References
- 0
- FWCI
- 11.93
- Type
- journal article
- Language
- en
- Open access
- closed
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- Picinbono, B. (1994). On circularity. IEEE Transactions on Signal Processing. https://doi.org/10.1109/78.340781
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
