A Novel Detection Scheme with Multiple Observations for Sparse Signal Based on Likelihood Ratio Test with Sparse Estimation
المؤلفون المشاركون
Zhao, Hongbo
Chen, Lei
Feng, Wenquan
Lei, Chuan
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2016، العدد 2016 (31 ديسمبر/كانون الأول 2016)، ص ص. 1-14، 14ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2016-10-10
دولة النشر
مصر
عدد الصفحات
14
التخصصات الرئيسية
الملخص EN
Recently, the problem of detecting unknown and arbitrary sparse signals has attracted much attention from researchers in various fields.
However, there remains a peck of difficulties and challenges as the key information is only contained in a small fraction of the signal and due to the absence of prior information.
In this paper, we consider a more general and practical scenario of multiple observations with no prior information except for the sparsity of the signal.
A new detection scheme referred to as the likelihood ratio test with sparse estimation (LRT-SE) is presented.
Under the Neyman-Pearson testing framework, LRT-SE estimates the unknown signal by employing the l1-minimization technique from compressive sensing theory.
The detection performance of LRT-SE is preliminarily analyzed in terms of error probabilities in finite size and Chernoff consistency in high dimensional condition.
The error exponent is introduced to describe the decay rate of the error probability as observations number grows.
Finally, these properties of LRT-SE are demonstrated based on the experimental results of synthetic sparse signals and sparse signals from real satellite telemetry data.
It could be concluded that the proposed detection scheme performs very close to the optimal detector.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Zhao, Hongbo& Chen, Lei& Feng, Wenquan& Lei, Chuan. 2016. A Novel Detection Scheme with Multiple Observations for Sparse Signal Based on Likelihood Ratio Test with Sparse Estimation. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1112732
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Zhao, Hongbo…[et al.]. A Novel Detection Scheme with Multiple Observations for Sparse Signal Based on Likelihood Ratio Test with Sparse Estimation. Mathematical Problems in Engineering No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1112732
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Zhao, Hongbo& Chen, Lei& Feng, Wenquan& Lei, Chuan. A Novel Detection Scheme with Multiple Observations for Sparse Signal Based on Likelihood Ratio Test with Sparse Estimation. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1112732
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1112732
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر