caa a22 4500 60619939X CHVBK 20210128100938.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s11045-013-0274-z doi (NATIONALLICENCE)springer-10.1007/s11045-013-0274-z Virtual matrix pencil method for 2-D DOA estimation with a two-nested-shape-array [Elektronische Daten] [Hua Shao, Weimin Su, Hong Gu, Jinyu Fan, Jinli Chen] A new two-nested-shape array geometry with three different inter-sensor spacings is designed to achieve enhanced degrees of freedom and doubled aperture length. The virtual matrix pencil method (VMPM) is proposed for this new array to estimate the two-dimensional direction-of-arrival (2-D DOA) of the signal sources, where the three different inter-sensor spacings are used to construct a virtual sparse two-parallel-shape array with much larger number sensors and achieve more accurate DOA estimations. Compared with the improved propagator method, the VMPM has better angle estimation accuracy, and is capable of resolving $$\hbox {O}(P^{2}/32)$$ O ( P 2 / 32 ) sources with $$P$$ P sensors. The statistical analysis of these two methods are studied, and the asymptotic variance expressions of their estimation errors are derived. Moreover, these asymptotic variance expressions are simplified for the case of one signal, and the quantitative comparisons are performed to demonstrate the performance advantage of the VMPM. The simulation results verify the validity of the VMPM. Springer Science+Business Media New York, 2014 2-D DOA nationallicence Aperture extension nationallicence Enhanced degrees of freedom nationallicence Two-nested-shaped array nationallicence Shao Hua Department of Electronic Engineering, Nanjing University of Science and Technology, 210094, Nanjing, China aut Su Weimin Department of Electronic Engineering, Nanjing University of Science and Technology, 210094, Nanjing, China aut Gu Hong Department of Electronic Engineering, Nanjing University of Science and Technology, 210094, Nanjing, China aut Fan Jinyu Department of Electronic Engineering, Nanjing University of Science and Technology, 210094, Nanjing, China aut Chen Jinli College of Electronic and Information Engineering, Nanjing University of Information Science and Technology, 210044, Nanjing, China aut Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/3(2015-07-01), 619-644 0923-6082 26:3<619 2015 26 11045 https://doi.org/10.1007/s11045-013-0274-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11045-013-0274-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Shao Hua Department of Electronic Engineering, Nanjing University of Science and Technology, 210094, Nanjing, China aut NATIONALLICENCE 700 1- Su Weimin Department of Electronic Engineering, Nanjing University of Science and Technology, 210094, Nanjing, China aut NATIONALLICENCE 700 1- Gu Hong Department of Electronic Engineering, Nanjing University of Science and Technology, 210094, Nanjing, China aut NATIONALLICENCE 700 1- Fan Jinyu Department of Electronic Engineering, Nanjing University of Science and Technology, 210094, Nanjing, China aut NATIONALLICENCE 700 1- Chen Jinli College of Electronic and Information Engineering, Nanjing University of Information Science and Technology, 210044, Nanjing, China aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/3(2015-07-01), 619-644 0923-6082 26:3<619 2015 26 11045