کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
759652 896485 2012 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Simultaneous denoising and enhancement of signals by a fractal conservation law
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Simultaneous denoising and enhancement of signals by a fractal conservation law
چکیده انگلیسی

In this paper, a new filtering method is presented for simultaneous noise reduction and enhancement of signals using a fractal scalar conservation law which is simply the forward heat equation modified by a fractional anti-diffusive term of lower order. This kind of equation has been first introduced by physicists to describe morphodynamics of sand dunes. To evaluate the performance of this new filter, we perform a number of numerical tests on various signals. Numerical simulations are based on finite difference schemes or fast Fourier transform. We used two well-known measuring metrics in signal processing for the comparison. The results indicate that the proposed method outperforms the well-known Savitzky–Golay filter in signal denoising.


► A new method based on a fractal scalar conservation law is considered in signal processing.
► Two effects of this model: denoising and contrast enhancement.
► Numerical simulations are based on finite difference schemes or fast Fourier transform.
► The numerical results indicate that the proposed method outperforms the Savitzky–Golay filter in signal denoising.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 2, February 2012, Pages 867–881
نویسندگان
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