Abstract:
In this paper, we consider the problem of detecting a signal in Gaussian noise with unknown covariance matrix, in partially homogeneous environments where the test and tr...Show MoreMetadata
Abstract:
In this paper, we consider the problem of detecting a signal in Gaussian noise with unknown covariance matrix, in partially homogeneous environments where the test and training data samples share the same noise covariance matrix up to an unknown scaling factor. One solution to this problem is the adaptive subspace detector (ASD) with a single or multiple observations. However, the probabilities of false alarm and detection of this ASD have not been obtained yet. In this paper, these expressions are derived on the basis of a single observation, which are confirmed with Monte Carlo simulations. It is shown that the ASD has a constant false alarm rate property with respect to both the shared noise covariance matrix structure and the independent scaling of the noise in the test data. In addition, we prove that for the First-Order model where the signal of interest is assumed to be a deterministic but unknown vector, the ASD derived with the generalized likelihood ratio test is consistent with that derived with an ad hoc two-step design procedure.
Published in: IEEE Transactions on Signal Processing ( Volume: 59, Issue: 11, November 2011)
![Author image of Jun Liu](/mediastore/IEEE/content/freeimages/78/6041052/5978230/5978230-photo-1-source-small.gif)
National Laboratory of Radar Signal Processing, Xidian University, Xi'an, China
Jun Liu (S'11) received the B.S. degree in mathematics from Wuhan University of Technology, China, in 2006 and the M.S. degree in mathematics from Chinese Academy of Sciences, China, in 2009.
Currently, he is working towards the Ph.D. degree in electrical engineering at the National Laboratory of Radar Signal Processing, Xidian University, China. His research interests include statistical signal processing, optimization al...Show More
Jun Liu (S'11) received the B.S. degree in mathematics from Wuhan University of Technology, China, in 2006 and the M.S. degree in mathematics from Chinese Academy of Sciences, China, in 2009.
Currently, he is working towards the Ph.D. degree in electrical engineering at the National Laboratory of Radar Signal Processing, Xidian University, China. His research interests include statistical signal processing, optimization al...View more
![Author image of Zi-Jing Zhang](/mediastore/IEEE/content/freeimages/78/6041052/5978230/5978230-photo-2-source-small.gif)
National Laboratory of Radar Signal Processing, Xidian University, Xi'an, China
Zi-Jing Zhang (M'11) was born in Beijing, China, in 1967. He received the B.S. and MS. degrees in dynamics from the Harbin Institute of Technology, Harbin, China, in 1989 and 1992, respectively, and the Ph.D. degree in electrical engineering from Xidian University, Xi'an, China, in 2001.
From August 2006 to December 2006, he was a visiting scholar at the University of Manchester, U.K. Since April 1992, he has been with the...Show More
Zi-Jing Zhang (M'11) was born in Beijing, China, in 1967. He received the B.S. and MS. degrees in dynamics from the Harbin Institute of Technology, Harbin, China, in 1989 and 1992, respectively, and the Ph.D. degree in electrical engineering from Xidian University, Xi'an, China, in 2001.
From August 2006 to December 2006, he was a visiting scholar at the University of Manchester, U.K. Since April 1992, he has been with the...View more
![Author image of Yun Yang](/mediastore/IEEE/content/freeimages/78/6041052/5978230/5978230-photo-3-source-small.gif)
Xi'an Research Institute of Surveying and Mapping, Xi'an, China
Yun Yang received the M.S. degree in electrical and computer engineering from Xidian University, Xi'an, China, in 1997, and the Ph.D. degree from Information Engineering University, Zhengzhou, China, in 2008.
Since 1990, she has been with Xi'an Research Institute of Surveying and Mapping, Xi'an, where she is currently a senior engineer. Her current research interests are in the fields of image processing and remote sensing...Show More
Yun Yang received the M.S. degree in electrical and computer engineering from Xidian University, Xi'an, China, in 1997, and the Ph.D. degree from Information Engineering University, Zhengzhou, China, in 2008.
Since 1990, she has been with Xi'an Research Institute of Surveying and Mapping, Xi'an, where she is currently a senior engineer. Her current research interests are in the fields of image processing and remote sensing...View more
![Author image of Hongwei Liu](/mediastore/IEEE/content/freeimages/78/6041052/5978230/5978230-photo-4-source-small.gif)
National Laboratory of Radar Signal Processing, Xidian University, Xi'an, China
Hongwei Liu (M'00) received the B.Eng. degree from Dalian University of Technology in electronic engineering in 1992 and the M.Eng. and Ph.D. degrees in electronic engineering from Xidian University, Xi'an, China, in 1995 and 1999, respectively.
He is currently the director and a Professor with the National Laboratory of Radar Signal Processing, Xidian University. His research interests include radar automatic target recog...Show More
Hongwei Liu (M'00) received the B.Eng. degree from Dalian University of Technology in electronic engineering in 1992 and the M.Eng. and Ph.D. degrees in electronic engineering from Xidian University, Xi'an, China, in 1995 and 1999, respectively.
He is currently the director and a Professor with the National Laboratory of Radar Signal Processing, Xidian University. His research interests include radar automatic target recog...View more
![Author image of Jun Liu](/mediastore/IEEE/content/freeimages/78/6041052/5978230/5978230-photo-1-source-small.gif)
National Laboratory of Radar Signal Processing, Xidian University, Xi'an, China
Jun Liu (S'11) received the B.S. degree in mathematics from Wuhan University of Technology, China, in 2006 and the M.S. degree in mathematics from Chinese Academy of Sciences, China, in 2009.
Currently, he is working towards the Ph.D. degree in electrical engineering at the National Laboratory of Radar Signal Processing, Xidian University, China. His research interests include statistical signal processing, optimization algorithms, radar polarimetry, and MIMO radar.
Jun Liu (S'11) received the B.S. degree in mathematics from Wuhan University of Technology, China, in 2006 and the M.S. degree in mathematics from Chinese Academy of Sciences, China, in 2009.
Currently, he is working towards the Ph.D. degree in electrical engineering at the National Laboratory of Radar Signal Processing, Xidian University, China. His research interests include statistical signal processing, optimization algorithms, radar polarimetry, and MIMO radar.View more
![Author image of Zi-Jing Zhang](/mediastore/IEEE/content/freeimages/78/6041052/5978230/5978230-photo-2-source-small.gif)
National Laboratory of Radar Signal Processing, Xidian University, Xi'an, China
Zi-Jing Zhang (M'11) was born in Beijing, China, in 1967. He received the B.S. and MS. degrees in dynamics from the Harbin Institute of Technology, Harbin, China, in 1989 and 1992, respectively, and the Ph.D. degree in electrical engineering from Xidian University, Xi'an, China, in 2001.
From August 2006 to December 2006, he was a visiting scholar at the University of Manchester, U.K. Since April 1992, he has been with the National Laboratory of Radar Signal Processing, Xidian University, where he is currently a Professor. His current research interests include radar signal processing and multirate filter banks design.
Zi-Jing Zhang (M'11) was born in Beijing, China, in 1967. He received the B.S. and MS. degrees in dynamics from the Harbin Institute of Technology, Harbin, China, in 1989 and 1992, respectively, and the Ph.D. degree in electrical engineering from Xidian University, Xi'an, China, in 2001.
From August 2006 to December 2006, he was a visiting scholar at the University of Manchester, U.K. Since April 1992, he has been with the National Laboratory of Radar Signal Processing, Xidian University, where he is currently a Professor. His current research interests include radar signal processing and multirate filter banks design.View more
![Author image of Yun Yang](/mediastore/IEEE/content/freeimages/78/6041052/5978230/5978230-photo-3-source-small.gif)
Xi'an Research Institute of Surveying and Mapping, Xi'an, China
Yun Yang received the M.S. degree in electrical and computer engineering from Xidian University, Xi'an, China, in 1997, and the Ph.D. degree from Information Engineering University, Zhengzhou, China, in 2008.
Since 1990, she has been with Xi'an Research Institute of Surveying and Mapping, Xi'an, where she is currently a senior engineer. Her current research interests are in the fields of image processing and remote sensing.
Yun Yang received the M.S. degree in electrical and computer engineering from Xidian University, Xi'an, China, in 1997, and the Ph.D. degree from Information Engineering University, Zhengzhou, China, in 2008.
Since 1990, she has been with Xi'an Research Institute of Surveying and Mapping, Xi'an, where she is currently a senior engineer. Her current research interests are in the fields of image processing and remote sensing.View more
![Author image of Hongwei Liu](/mediastore/IEEE/content/freeimages/78/6041052/5978230/5978230-photo-4-source-small.gif)
National Laboratory of Radar Signal Processing, Xidian University, Xi'an, China
Hongwei Liu (M'00) received the B.Eng. degree from Dalian University of Technology in electronic engineering in 1992 and the M.Eng. and Ph.D. degrees in electronic engineering from Xidian University, Xi'an, China, in 1995 and 1999, respectively.
He is currently the director and a Professor with the National Laboratory of Radar Signal Processing, Xidian University. His research interests include radar automatic target recognition, radar signal processing, and adaptive signal processing.
Hongwei Liu (M'00) received the B.Eng. degree from Dalian University of Technology in electronic engineering in 1992 and the M.Eng. and Ph.D. degrees in electronic engineering from Xidian University, Xi'an, China, in 1995 and 1999, respectively.
He is currently the director and a Professor with the National Laboratory of Radar Signal Processing, Xidian University. His research interests include radar automatic target recognition, radar signal processing, and adaptive signal processing.View more