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Detection of Antipodal Signals Under Skewed Alpha-Stable Noise

Yıl 2019, Cilt: 21 Sayı: 62, 525 - 531, 21.05.2019
https://doi.org/10.21205/deufmd.2019216217

Öz

This study analyses performance of
digital communication system having baseband binary phase shift keying
modulation under asymmetric non-Gaussian noise. Correspondingly, the problem is
characterised as antipodal signal detection where skewed
stable distribution is used as asymmetric non-Gaussian noise exhibiting
impulsive behaviour. The performance of the communication system is expressed
as a function of error probability with respect to noise parameters. It is
shown that the skewness of the channel noise results in degradation of error
probability at low signal to noise ratio. Also, the effect of skewness is more
apparent when the impulsiveness of the noise increased. As the contribution,
any receiver design to compensate the asymmetric behaviour of the channel noise
can be used to enhance the detection accuracy since the error performance gets
worse while departing from symmetric behaviour of the noise under the same
impulsiveness. Additionally, the detection performance is analysed by receiver
operating characteristic under the skewed
stable noise environment. According to findings, probability of detection
can be tuned and locally increased with respect to the false alarm probability
depending on the sign of the skewness.

Kaynakça

  • [1] Win M. Z., Pinto P. C., Shepp L. A., 2009, A Mathematical Theory of Network Interference and Its Applications, Proc. of IEEE, vol. 97, (2), pp. 205-230. DOI: 10.1109/JPROC.2008.2008764
  • [2] Nikias C. L., Shao M. 1995, Signal Processing with Alpha-Stable Distributions and Applications, Wiley-Interscience publication.
  • [3] Kuruoglu E. E., Fitzgerald W. J., Rayner P. J. W. 1998, Near Optimal Detection of Signals in Impulsive Noise Modelled with a Symmetric Alpha-Stable Distribution, IEEE Comm. Letters, Vol 2, (10), pp. 282-284. DOI: 10.1109/4234.725224
  • [4] Swami A., Sadler B. M., 2002, On Some Detection and Estimation Problems in Heavy-Tailed Noise, Signal Processing, Vol. 82, pp. 1829-1846 DOI: 10.1016/S0165-1684(02)00314-6
  • [5] Pokharel P.P., Liu W., Principe J.C., 2009, A Low Complexity Robust Detector in Impulsive Noise, Signal Processing, 89, pp. 1902-1909. DOI: 10.1016/j.sigpro.2009.03.027
  • [6] Shehata T. S., Marsland I., El-Tanany M., 2010, A Novel Framework for Signal Detection in Alpha-Stable Interference, IEEE Vehicular Technology Conference, May 16-17, Taipei, Taiwan, pp. 1-5. DOI: 10.1109/VETECS.2010.5493814.
  • [7] Saleh T. S., Marsland I., El-Tanany M. 2012, Suboptimal Detectors for Alpha-Stable Noise: Simplifying Design and Improving Performance, IEEE Trans. Comm., vol. 60, (10), pp. 2982-2989. DOI: 10.1109/TCOMM.2012.071812.100789
  • [8] Wang K., Zhou G., Xiang Z., 2008, Detection of Binary Signal with Both Impulsive and Gaussian Interference, Int. Conf. On Comm. And Networking in China, August 25-27, China, August, pp. 790-793. DOI: 10.1109/CHINACOM.2008.4685142
  • [9] Khalil H.K., Clavier L., Septier F., Marsalle L., Castellan G., 2011, Performance of Optimal Receiver in the Presence of Alpha - Stable and Gaussian Noises, IEEE Statistical Signal Processing Workshop, June 28-30, Nice, France, pp.573-576. DOI: 10.1109/SSP.2011.5967762
  • [10] Sureka G., Kiasaleh K., 2013, Sub-Optimal Receiver Architecture for AWGN Channel With Symmetric Alpha-Stable Interference, IEEE Trans. on Comm., Vol. 61, (5), pp. 1926-1935. DOI: 10.1109/TCOMM.2013.022713.120490
  • [11] Yang F., Zhang X., 2014, BER Analysis of Digital Modulation Schemes Under Symmetric Alpha-Stable Noise, IEEE Military Comm. Conf., October 6-8, Baltimore MD, USA, pp. 350-355. DOI: 10.1109/MILCOM.2014.63
  • [12] Yang F., Zhang X., 2014, BER and SER Analyses for M-ary Modulation Schemes Under Symmetric Alpha Stable Noise, IEEE Global Communication Conference, December 8-12, Austin TX, pp.3983 – 3988. DOI: 10.1109/GLOCOM.2014.7037430
  • [13] Hashemifard Z., Amindawar H., 2017, PDF Approximations to Estimation and Detection in Time-Correlated Alpha-Stable Channels, Signal Processing, Vol. 133, pp. 97-106. DOI: 10.1016/j.sigpro.2016.10.021
  • [14] Samorodnitsky G., Taqqu M. S., 1994, Stable Non-Gaussian Random Processes, Chapman Hall Press.
  • [15] Janicki A., Weron A., 1994, Simulation and Chaotic Behaviour of α-stable Stochastic Processes, Marcel Dekker Inc.
  • [16] Kay S. M., 1998, Statistical Signal Processing – Detection Theory, Prentice Hall.

Asimetrik Alfa-Kararlı Gürültü Altında Zıt Kutuplu İşaretlerin Tespiti

Yıl 2019, Cilt: 21 Sayı: 62, 525 - 531, 21.05.2019
https://doi.org/10.21205/deufmd.2019216217

Öz

Bu
çalışma, asimetrik Gauss olmayan gürültü altında temel band ikili faz
kaydırmalı anahtarlamaya sahip sayısal haberleşme sisteminin başarımını analiz
etmektedir. Buna karşılık olarak, problem asimetrik alfa-
kararlı gürültünün asimetrik Gauss
olmayan gürültü olarak kullanıldığı zıt kutuplu işaret tespiti olarak
karekterize edilmektedir. Haberleşme sisteminin başarımı hata olasılığının
gürültü parametreleri cinsinden fonksiyonu olarak ifade edilmektedir. Düşük
işaret gürültü oranında kanal gürültüsündeki asimetrinin hata olasılığında
kötüleşmeyle sonuçlandığı gösterilmektedir. Ek olarak, asimetrinin etkisi kanal
gürültüsünün  dürtüselliği artırıldığında
daha görünür olmaktadır. Katkı olarak, kanal gürültüsünün asimetrik davranışını
telafi edecek herhangi bir alıcı tasarımı, hata olasılığının aynı dürtüsellikte
iken simetrik davranıştan uzaklatıkça kötüleşmesinden dolayı  tespit doğruluğunu iyileştirmede
kullanılabilir. Buna ek olarak, tespit başarımı asimetrik alfa-
kararlı gürültü ortamında alıcı
işletim karakteristiği ile analiz edilmektedir. Bulgulara göre, tespit
olasılığı asimetrinin işaretine bağlı olan yanlış alarm olasılığı ile ayarlanıp
lokal olarak artırılabilir.  
  

Kaynakça

  • [1] Win M. Z., Pinto P. C., Shepp L. A., 2009, A Mathematical Theory of Network Interference and Its Applications, Proc. of IEEE, vol. 97, (2), pp. 205-230. DOI: 10.1109/JPROC.2008.2008764
  • [2] Nikias C. L., Shao M. 1995, Signal Processing with Alpha-Stable Distributions and Applications, Wiley-Interscience publication.
  • [3] Kuruoglu E. E., Fitzgerald W. J., Rayner P. J. W. 1998, Near Optimal Detection of Signals in Impulsive Noise Modelled with a Symmetric Alpha-Stable Distribution, IEEE Comm. Letters, Vol 2, (10), pp. 282-284. DOI: 10.1109/4234.725224
  • [4] Swami A., Sadler B. M., 2002, On Some Detection and Estimation Problems in Heavy-Tailed Noise, Signal Processing, Vol. 82, pp. 1829-1846 DOI: 10.1016/S0165-1684(02)00314-6
  • [5] Pokharel P.P., Liu W., Principe J.C., 2009, A Low Complexity Robust Detector in Impulsive Noise, Signal Processing, 89, pp. 1902-1909. DOI: 10.1016/j.sigpro.2009.03.027
  • [6] Shehata T. S., Marsland I., El-Tanany M., 2010, A Novel Framework for Signal Detection in Alpha-Stable Interference, IEEE Vehicular Technology Conference, May 16-17, Taipei, Taiwan, pp. 1-5. DOI: 10.1109/VETECS.2010.5493814.
  • [7] Saleh T. S., Marsland I., El-Tanany M. 2012, Suboptimal Detectors for Alpha-Stable Noise: Simplifying Design and Improving Performance, IEEE Trans. Comm., vol. 60, (10), pp. 2982-2989. DOI: 10.1109/TCOMM.2012.071812.100789
  • [8] Wang K., Zhou G., Xiang Z., 2008, Detection of Binary Signal with Both Impulsive and Gaussian Interference, Int. Conf. On Comm. And Networking in China, August 25-27, China, August, pp. 790-793. DOI: 10.1109/CHINACOM.2008.4685142
  • [9] Khalil H.K., Clavier L., Septier F., Marsalle L., Castellan G., 2011, Performance of Optimal Receiver in the Presence of Alpha - Stable and Gaussian Noises, IEEE Statistical Signal Processing Workshop, June 28-30, Nice, France, pp.573-576. DOI: 10.1109/SSP.2011.5967762
  • [10] Sureka G., Kiasaleh K., 2013, Sub-Optimal Receiver Architecture for AWGN Channel With Symmetric Alpha-Stable Interference, IEEE Trans. on Comm., Vol. 61, (5), pp. 1926-1935. DOI: 10.1109/TCOMM.2013.022713.120490
  • [11] Yang F., Zhang X., 2014, BER Analysis of Digital Modulation Schemes Under Symmetric Alpha-Stable Noise, IEEE Military Comm. Conf., October 6-8, Baltimore MD, USA, pp. 350-355. DOI: 10.1109/MILCOM.2014.63
  • [12] Yang F., Zhang X., 2014, BER and SER Analyses for M-ary Modulation Schemes Under Symmetric Alpha Stable Noise, IEEE Global Communication Conference, December 8-12, Austin TX, pp.3983 – 3988. DOI: 10.1109/GLOCOM.2014.7037430
  • [13] Hashemifard Z., Amindawar H., 2017, PDF Approximations to Estimation and Detection in Time-Correlated Alpha-Stable Channels, Signal Processing, Vol. 133, pp. 97-106. DOI: 10.1016/j.sigpro.2016.10.021
  • [14] Samorodnitsky G., Taqqu M. S., 1994, Stable Non-Gaussian Random Processes, Chapman Hall Press.
  • [15] Janicki A., Weron A., 1994, Simulation and Chaotic Behaviour of α-stable Stochastic Processes, Marcel Dekker Inc.
  • [16] Kay S. M., 1998, Statistical Signal Processing – Detection Theory, Prentice Hall.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Mehmet Emre Çek 0000-0002-0230-3529

Özge Şentürk Bu kişi benim 0000-0002-9018-9059

Yayımlanma Tarihi 21 Mayıs 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 21 Sayı: 62

Kaynak Göster

APA Çek, M. E., & Şentürk, Ö. (2019). Detection of Antipodal Signals Under Skewed Alpha-Stable Noise. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen Ve Mühendislik Dergisi, 21(62), 525-531. https://doi.org/10.21205/deufmd.2019216217
AMA Çek ME, Şentürk Ö. Detection of Antipodal Signals Under Skewed Alpha-Stable Noise. DEUFMD. Mayıs 2019;21(62):525-531. doi:10.21205/deufmd.2019216217
Chicago Çek, Mehmet Emre, ve Özge Şentürk. “Detection of Antipodal Signals Under Skewed Alpha-Stable Noise”. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen Ve Mühendislik Dergisi 21, sy. 62 (Mayıs 2019): 525-31. https://doi.org/10.21205/deufmd.2019216217.
EndNote Çek ME, Şentürk Ö (01 Mayıs 2019) Detection of Antipodal Signals Under Skewed Alpha-Stable Noise. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi 21 62 525–531.
IEEE M. E. Çek ve Ö. Şentürk, “Detection of Antipodal Signals Under Skewed Alpha-Stable Noise”, DEUFMD, c. 21, sy. 62, ss. 525–531, 2019, doi: 10.21205/deufmd.2019216217.
ISNAD Çek, Mehmet Emre - Şentürk, Özge. “Detection of Antipodal Signals Under Skewed Alpha-Stable Noise”. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi 21/62 (Mayıs 2019), 525-531. https://doi.org/10.21205/deufmd.2019216217.
JAMA Çek ME, Şentürk Ö. Detection of Antipodal Signals Under Skewed Alpha-Stable Noise. DEUFMD. 2019;21:525–531.
MLA Çek, Mehmet Emre ve Özge Şentürk. “Detection of Antipodal Signals Under Skewed Alpha-Stable Noise”. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen Ve Mühendislik Dergisi, c. 21, sy. 62, 2019, ss. 525-31, doi:10.21205/deufmd.2019216217.
Vancouver Çek ME, Şentürk Ö. Detection of Antipodal Signals Under Skewed Alpha-Stable Noise. DEUFMD. 2019;21(62):525-31.

Dokuz Eylül Üniversitesi, Mühendislik Fakültesi Dekanlığı Tınaztepe Yerleşkesi, Adatepe Mah. Doğuş Cad. No: 207-I / 35390 Buca-İZMİR.