For low value of filter order Butterworth lowpass filter behaves as Ideal lowpass filter, while for higher order value it has a smoother form behaving like Gaussian lowpass filter. Smoothing in frequency domain is achieved by attenuating a range of low-frequency components. The lower the frequency of a sinusoidal, the more samples must be taken to gain an accurate representation of the wave. The Fourier transform of the product of two functions is the product of the Fourier transforms of the functions (i.e., F[f(x)g(x)]=F[f{x)]F[g(x)]) Fourier Slice Theorem relates 1D Fourier Transform of the projection with 2D Fourier Transform of the original image.

For low value of filter order Butterworth lowpass filter behaves as Ideal lowpass filter, while for higher order value it has a smoother form behaving like Gaussian lowpass filter. Smoothing in frequency domain is achieved by attenuating a range of low-frequency components. The lower the frequency of a sinusoidal, the more samples must be taken to gain an accurate representation of the wave. The Fourier transform of the product of two functions is the product of the Fourier transforms of the functions (i.e., F[f(x)g(x)]=F[f{x)]F[g(x)]) Fourier Slice Theorem relates 1D Fourier Transform of the projection with 2D Fourier Transform of the original image.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.16P

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