Analysis of sparse co-prime sensing array performance using wideband noise signals

David B. Alexander, Ram Mohan Narayanan, Braham Himed

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A pair of co-prime receiving arrays with sparse inter-element spacing is capable of sampling a wide sense stationary signal at a set of points more densely relative to the element spacing. The properties of co-prime arrays make them attractive options for use in radar systems. In this paper, two-dimensional lattices are generated from a pair of co-prime matrices with array elements placed on these lattices. The transmission, reflection off of a target, and reception of signals by these arrays were simulated for both narrowband and wideband signals. Two waveform types were simulated. These include band-limited Gaussian noise, along with chirp waveforms so that the noise waveform performance could be assessed relative to a more traditional radar waveform. Several parameters were tested to measure the performance of the co-prime sensing arrays for the two signal types. First, the peak cross-correlation between the transmitted and received signals was studied over a range of signal bandwidths. Additionally, the quality of the arrays' estimation of the incidence direction of arrival (DOA) was determined. It was found that the band-limited noise waveforms demonstrated comparable performance to chirp signals with equivalent bandwidth. Additionally, it was found that multi-dimensional co-prime arrays were able to generate very accurate DOA estimations for both signal types.

Original languageEnglish (US)
Title of host publicationConference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017
EditorsMichael B. Matthews
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1147-1151
Number of pages5
ISBN (Electronic)9781538618233
DOIs
StatePublished - Apr 10 2018
Event51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017 - Pacific Grove, United States
Duration: Oct 29 2017Nov 1 2017

Publication series

NameConference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017
Volume2017-October

Other

Other51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017
CountryUnited States
CityPacific Grove
Period10/29/1711/1/17

Fingerprint

Direction of arrival
Sensing
broadband
Bandwidth
Waveform
waveforms
Radar systems
Radar
Sampling
Direction of Arrival
Chirp
arrivals
radar
Spacing
spacing
chirp signals
bandwidth
random noise
chirp
Gaussian Noise

All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Computer Networks and Communications
  • Hardware and Architecture
  • Signal Processing
  • Biomedical Engineering
  • Instrumentation

Cite this

Alexander, D. B., Narayanan, R. M., & Himed, B. (2018). Analysis of sparse co-prime sensing array performance using wideband noise signals. In M. B. Matthews (Ed.), Conference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017 (pp. 1147-1151). [8335530] (Conference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017; Vol. 2017-October). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACSSC.2017.8335530
Alexander, David B. ; Narayanan, Ram Mohan ; Himed, Braham. / Analysis of sparse co-prime sensing array performance using wideband noise signals. Conference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017. editor / Michael B. Matthews. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 1147-1151 (Conference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017).
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abstract = "A pair of co-prime receiving arrays with sparse inter-element spacing is capable of sampling a wide sense stationary signal at a set of points more densely relative to the element spacing. The properties of co-prime arrays make them attractive options for use in radar systems. In this paper, two-dimensional lattices are generated from a pair of co-prime matrices with array elements placed on these lattices. The transmission, reflection off of a target, and reception of signals by these arrays were simulated for both narrowband and wideband signals. Two waveform types were simulated. These include band-limited Gaussian noise, along with chirp waveforms so that the noise waveform performance could be assessed relative to a more traditional radar waveform. Several parameters were tested to measure the performance of the co-prime sensing arrays for the two signal types. First, the peak cross-correlation between the transmitted and received signals was studied over a range of signal bandwidths. Additionally, the quality of the arrays' estimation of the incidence direction of arrival (DOA) was determined. It was found that the band-limited noise waveforms demonstrated comparable performance to chirp signals with equivalent bandwidth. Additionally, it was found that multi-dimensional co-prime arrays were able to generate very accurate DOA estimations for both signal types.",
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Alexander, DB, Narayanan, RM & Himed, B 2018, Analysis of sparse co-prime sensing array performance using wideband noise signals. in MB Matthews (ed.), Conference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017., 8335530, Conference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017, vol. 2017-October, Institute of Electrical and Electronics Engineers Inc., pp. 1147-1151, 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017, Pacific Grove, United States, 10/29/17. https://doi.org/10.1109/ACSSC.2017.8335530

Analysis of sparse co-prime sensing array performance using wideband noise signals. / Alexander, David B.; Narayanan, Ram Mohan; Himed, Braham.

Conference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017. ed. / Michael B. Matthews. Institute of Electrical and Electronics Engineers Inc., 2018. p. 1147-1151 8335530 (Conference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017; Vol. 2017-October).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Alexander DB, Narayanan RM, Himed B. Analysis of sparse co-prime sensing array performance using wideband noise signals. In Matthews MB, editor, Conference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017. Institute of Electrical and Electronics Engineers Inc. 2018. p. 1147-1151. 8335530. (Conference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017). https://doi.org/10.1109/ACSSC.2017.8335530