کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4608085 1337904 2008 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new transform for solving the noisy complex exponentials approximation problem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A new transform for solving the noisy complex exponentials approximation problem
چکیده انگلیسی

The problem of estimating a complex measure made up by a linear combination of Dirac distributions centered on points of the complex plane from a finite number of its complex moments affected by additive i.i.d. Gaussian noise is considered. A random measure is defined whose expectation approximates the unknown measure under suitable conditions. An estimator of the approximating measure is then proposed as well as a new discrete transform of the noisy moments that allows computing an estimate of the unknown measure. A small simulation study is also performed to experimentally check the goodness of the approximations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 155, Issue 1, November 2008, Pages 1–27
نویسندگان
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