(Solved) : 428 Smoothness Fourier Series Smooth Ness Period Determines Way Magnitude Line Spectrum De Q32456500 . . .
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4.28 Smoothness and Fourier Series-The smooth ness of a period determines the way the magnitude line spectrum decays. Consider the following peri odic signals x(t) and y) both of fundamental period To2 sec, and with a period from 0 2 sec., and with a period from’S’5 To equal to to XI (t) = 11() _ 11(1-1),y, (t) = r(t)-Zr(t-1) + r(1-2). Find the Fourier series coefficients of x(t) and y(i) and use MATLAB to plot their magnitude line spec- trum for k-0,11,12…. t20. Determine which of these spectra decays faster and how it relates to the smoothness of the period. (To see this relate Xklto the corresponding lL.) Answers: >(f) is smoother than x(t), Show transcribed image text
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Answer to 428 Smoothness Fourier Series Smooth Ness Period Determines Way Magnitude Line Spectrum De Q32456500 . . .
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