Detection Characteristics of the Random and Deterministic Signals in Antenna Arrays
In this paper, approach to incoherent signal detection
in multi-element antenna array are researched and modeled. Two
types of useful signals with unknown wavefront were considered:
first one, deterministic (Barker code), and second one, random
(Gaussian distribution). The derivation of the sufficient statistics took
into account the linearity of the antenna array. The performance
characteristics and detecting curves are modeled and compared for
different useful signals parameters and for different number of
elements of the antenna array. Results of researches in case of some
additional conditions can be applied to a digital communications
systems.
[1] H.L.Van Trees ”Detection, Estimation, and Modulation Theory” J.Wiley,
New York, 1971.
[2] N.R.Goodman, ”Statistical analysis based on a certain multivariate
Gaussian distribution”, Ann.Math.Stat., March, 1963, Vol.34.
[3] A. L. Swindlehurst and P. Stoica ”Maximum Likelihood Methods in Radar
Array Signal Processing”. Proceedings of IEEE, vol.86,NO.2, February
1998.
[4] S. M. Kay, Fundamentals of Statistical Signal Processing: Detection
Theory, Prentice-Hall, 1998. [5] L.L.Scarf ”Statistucal Signal Processing”, Addison-Wesley, Reading,
Mass., 1991
[6] R. Klemm Principles of Space-Time Adaptive Processing. IEE Publishing,
2002.
[7] R. Klemm Applications of Space-Time Adaptive Processing, IEE
Publishing, 2004.
[8] L. Brennan and I. Reed, Theory of adaptive radar, IEEE Transactions on
Aerospace and Electronic Systems, vol. AES-9, no. 2, March 1973
[9] Robert N. Mcdonough ”Detection Of Signals In Noise” Publisher:
Academic Press (April 17, 1995)
[10] V.S. Pugatchev, ”The theory of probabilities and mathematical statistics”,
Nauka, Moskwa, 1979, (in Russian).
[11] O.V. Bolkhovskaya, A.A. Maltsev, K.V. Rodushkin ”Comparative
analysis of different statistics for spatial signal detecting in the short
samples case”. Radiophysics and quantum electronics, Vol 47, N 8, 2004.
[12] Bolkhovskaya, O. V.; Mal’tsev, A. A. ”Determination of Threshold
Values of the Generalized Likelihood Ratio in the Problem of Detecting
Partially Coherent Spatial Signals in the Case of Short Samples”.
Radiophysics and Quantum Electronics, Volume 45, Number 12 (2002) .
[13] O.V. Bolkhovskaya, A.A. Maltsev ”The performance of the GLRT for
the spatial signals detection with a small number of observations”, IEEE
Signal Processing Letters, Oct. 2004.
[14] Olesya Bolkhovskaya, Alexander Maltsev, ”Efficiency of different GLR
test-statistics for spatial signal detecting”. ICECECE 2012: International
Conference on Electrical, Computer, Electronics and Communication
Engineering, 2012, Vol6, N12.
[15] Olesya Bolkhovskaya, Alexander Maltsev, ”Performance Degradation
for the GLR Test-Statistics for Spatial Signal Detection”. ICECECE
2013: International Conference on Electrical, Computer, Electronics and
Communication Engineering, 2013, Vol7, N11.
[16] Olesya Bolkhovskaya, Alexey Davydov, Alexander Maltsev
”Comparative Analysis of Two Approaches to Joint Signal Detection,
ToA and AoA Estimation in Multi-Element Antenna Arrays”. ICECECE
2014: International Conference on Electrical, Computer, Electronics and
Communication Engineering, 2014, Vol8, N12.
[1] H.L.Van Trees ”Detection, Estimation, and Modulation Theory” J.Wiley,
New York, 1971.
[2] N.R.Goodman, ”Statistical analysis based on a certain multivariate
Gaussian distribution”, Ann.Math.Stat., March, 1963, Vol.34.
[3] A. L. Swindlehurst and P. Stoica ”Maximum Likelihood Methods in Radar
Array Signal Processing”. Proceedings of IEEE, vol.86,NO.2, February
1998.
[4] S. M. Kay, Fundamentals of Statistical Signal Processing: Detection
Theory, Prentice-Hall, 1998. [5] L.L.Scarf ”Statistucal Signal Processing”, Addison-Wesley, Reading,
Mass., 1991
[6] R. Klemm Principles of Space-Time Adaptive Processing. IEE Publishing,
2002.
[7] R. Klemm Applications of Space-Time Adaptive Processing, IEE
Publishing, 2004.
[8] L. Brennan and I. Reed, Theory of adaptive radar, IEEE Transactions on
Aerospace and Electronic Systems, vol. AES-9, no. 2, March 1973
[9] Robert N. Mcdonough ”Detection Of Signals In Noise” Publisher:
Academic Press (April 17, 1995)
[10] V.S. Pugatchev, ”The theory of probabilities and mathematical statistics”,
Nauka, Moskwa, 1979, (in Russian).
[11] O.V. Bolkhovskaya, A.A. Maltsev, K.V. Rodushkin ”Comparative
analysis of different statistics for spatial signal detecting in the short
samples case”. Radiophysics and quantum electronics, Vol 47, N 8, 2004.
[12] Bolkhovskaya, O. V.; Mal’tsev, A. A. ”Determination of Threshold
Values of the Generalized Likelihood Ratio in the Problem of Detecting
Partially Coherent Spatial Signals in the Case of Short Samples”.
Radiophysics and Quantum Electronics, Volume 45, Number 12 (2002) .
[13] O.V. Bolkhovskaya, A.A. Maltsev ”The performance of the GLRT for
the spatial signals detection with a small number of observations”, IEEE
Signal Processing Letters, Oct. 2004.
[14] Olesya Bolkhovskaya, Alexander Maltsev, ”Efficiency of different GLR
test-statistics for spatial signal detecting”. ICECECE 2012: International
Conference on Electrical, Computer, Electronics and Communication
Engineering, 2012, Vol6, N12.
[15] Olesya Bolkhovskaya, Alexander Maltsev, ”Performance Degradation
for the GLR Test-Statistics for Spatial Signal Detection”. ICECECE
2013: International Conference on Electrical, Computer, Electronics and
Communication Engineering, 2013, Vol7, N11.
[16] Olesya Bolkhovskaya, Alexey Davydov, Alexander Maltsev
”Comparative Analysis of Two Approaches to Joint Signal Detection,
ToA and AoA Estimation in Multi-Element Antenna Arrays”. ICECECE
2014: International Conference on Electrical, Computer, Electronics and
Communication Engineering, 2014, Vol8, N12.
@article{"International Journal of Electrical, Electronic and Communication Sciences:71569", author = "Olesya Bolkhovskaya and Alexey Davydov and Alexander Maltsev", title = "Detection Characteristics of the Random and Deterministic Signals in Antenna Arrays", abstract = "In this paper, approach to incoherent signal detection
in multi-element antenna array are researched and modeled. Two
types of useful signals with unknown wavefront were considered:
first one, deterministic (Barker code), and second one, random
(Gaussian distribution). The derivation of the sufficient statistics took
into account the linearity of the antenna array. The performance
characteristics and detecting curves are modeled and compared for
different useful signals parameters and for different number of
elements of the antenna array. Results of researches in case of some
additional conditions can be applied to a digital communications
systems.", keywords = "Antenna array, detection curves, performance
characteristics, quadrature processing, signal detection.", volume = "9", number = "12", pages = "1430-4", }