کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1785278 1023372 2016 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A mathematical model of fluctuation noise based on the wavelet transform
ترجمه فارسی عنوان
مدل ریاضی نویز نوسان بر اساس تبدیل موجک
کلمات کلیدی
سر و صدای سفید، سر و صدا نوسان، تبدیل موجک
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک اتمی و مولکولی و اپتیک
چکیده انگلیسی

A new model of white noise based on the wavelet transform has been proposed. This model is more adequate for solving some radiophysical tasks, such as the problem of electromagnetic waves reflecting from the ionosphere. Moreover, it was shown that in terms of probabilistic description of the random-process trajectories, the wavelet implementation of this random process is more likely (using the probability density functional offered by Amiantov). The wavelet properties and the famous theorems of mathematical analysis and theory of chances were used to develop our model: the mean value theorem and Lyapunov's central limit theorem. Our study resulted in obtaining a theorem on random-process expansion in terms of wavelet basis. It was also shown that the obtained results were in agreement with those of Kotelnikov.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: St. Petersburg Polytechnical University Journal: Physics and Mathematics - Volume 2, Issue 1, March 2016, Pages 50–53
نویسندگان
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