NDLI: Simple and Efficient Nonparametric Method for Estimating the Number of Signals Without Eigendecomposition

Content Provider	IEEE Xplore Digital Library
Author	Jingmin Xin Nanning Zheng Sano, A.
Copyright Year	1991
Abstract	Inspired by the computational simplicity and numerical stability of QR decomposition, a nonparametric method for estimating the number of signals without eigendecomposition (MENSE) is proposed for the coherent narrowband signals impinging on a uniform linear array (ULA). By exploiting the array geometry and its shift invariance property to decorrelate the coherency of signals through subarray averaging, the number of signals is revealed in the rank of the QR upper-trapezoidal factor of the autoproduct of a combined Hankel matrix formed from the cross correlations between some sensor data. Since the infection of additive noise is defused, signal detection capability is improved. A new detection criterion is then formulated in terms of the row elements of the QR upper-triangular factor when finite array data are available, and the number of signals is determined as a value of the running index for which this ratio criterion is maximized, where the QR decomposition with column pivoting is also used to improve detection performance. The statistical analysis clarifies that the MENSE detection criterion is asymptotically consistent. Furthermore, the proposed MENSE algorithm is robust against the array uncertainties including sensor gain and phase errors and mutual coupling and against the deviations from the spatial homogeneity of noise model. The effectiveness of the MENSE is verified through numerical examples, and the simulation results show that the MENSE is superior in detecting closely spaced signals with a small number of snapshots and/or at relatively low signal-to-noise ratio (SNR)
Sponsorship	IEEE Signal Processing Society
Starting Page	1405
Ending Page	1420
Page Count	16
File Size	833352
File Format	PDF
ISSN	1053587X
Volume Number	55
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sensor arrays Signal detection Phased arrays Signal to noise ratio Numerical stability Narrowband Geometry Decorrelation Additive noise Statistical analysis signal detection Array signal processing direction-of-arrival estimation eigendecomposition multipath environment QR decomposition
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Directions-of-arrival tracking of coherent cyclostationary signals without eigendecomposition

Nonparametric method for detecting the number of narrowband signals without eigendecomposition in array processing.

Computationally efficient subspace-based method for direction-of-arrival estimation without eigendecomposition

Harmonic decomposition methods in cumulant domains (array processing)

Detection of number of uncorrelated and coherent narrowband signals with L-shaped sensor array

Detection of the number of coherent narrowband signals with L-shaped sensor array

Efficient DOA estimation using signal eigenvector method without eigendecomposition

Subspace-based algorithms without eigendecomposition for array signal processing

Toeplitz-derived hermitian eigendecomposition

Simple and Efficient Nonparametric Method for Estimating the Number of Signals Without Eigendecomposition

Similar Documents

Directions-of-arrival tracking of coherent cyclostationary signals without eigendecomposition

Nonparametric method for detecting the number of narrowband signals without eigendecomposition in array processing.

Computationally efficient subspace-based method for direction-of-arrival estimation without eigendecomposition

Harmonic decomposition methods in cumulant domains (array processing)

Detection of number of uncorrelated and coherent narrowband signals with L-shaped sensor array

Detection of the number of coherent narrowband signals with L-shaped sensor array

Efficient DOA estimation using signal eigenvector method without eigendecomposition

Subspace-based algorithms without eigendecomposition for array signal processing

Toeplitz-derived hermitian eigendecomposition

Simple and Efficient Nonparametric Method for Estimating the Number of Signals Without Eigendecomposition