On a Gradient-Based Algorithm for Sparse Signal Reconstruction in the SignalMeasurements Domain
المؤلفون المشاركون
Stanković, Ljubiša
Daković, Miloš
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2016، العدد 2016 (31 ديسمبر/كانون الأول 2016)، ص ص. 1-11، 11ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2016-06-19
دولة النشر
مصر
عدد الصفحات
11
التخصصات الرئيسية
الملخص EN
Sparse signals can be recovered from a reduced set of samples by using compressive sensing algorithms.
In common compressive sensing methods the signal is recovered in the sparsity domain.
A method for the reconstruction of sparse signals which reconstructs the missing/unavailable samples/measurements is recently proposed.
This method can be efficiently used in signal processing applications where a complete set of signal samples exists.
The missing samples are considered as the minimization variables, while the available samples are fixed.
Reconstruction of the unavailable signal samples/measurements is preformed using a gradient-based algorithm in the time domain, with an adaptive step.
Performance of this algorithm with respect to the step-size and convergence are analyzed and a criterion for the step-size adaptation is proposed in this paper.
The step adaptation is based on the gradient direction angles.
Illustrative examples and statistical study are presented.
Computational efficiency of this algorithm is compared with other two commonly used gradient algorithms that reconstruct signal in the sparsity domain.
Uniqueness of the recovered signal is checked using a recently introduced theorem.
The algorithm application to the reconstruction of highly corrupted images is presented as well.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Stanković, Ljubiša& Daković, Miloš. 2016. On a Gradient-Based Algorithm for Sparse Signal Reconstruction in the SignalMeasurements Domain. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112424
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Stanković, Ljubiša& Daković, Miloš. On a Gradient-Based Algorithm for Sparse Signal Reconstruction in the SignalMeasurements Domain. Mathematical Problems in Engineering No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1112424
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Stanković, Ljubiša& Daković, Miloš. On a Gradient-Based Algorithm for Sparse Signal Reconstruction in the SignalMeasurements Domain. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112424
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1112424
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
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