Please show the step to solve theoretical solution. Compare the theoretical solution and sci lab simulation and state th

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Please show the step to solve theoretical solution. Compare the
theoretical solution and sci lab simulation and state the
conclusion.

Please Show The Step To Solve Theoretical Solution Compare The Theoretical Solution And Sci Lab Simulation And State Th 1 (42.6 KiB) Viewed 57 times

Please Show The Step To Solve Theoretical Solution Compare The Theoretical Solution And Sci Lab Simulation And State Th 2 (73.57 KiB) Viewed 57 times

Mathematically write the Fourier series coefficient of a periodic signal x(t) = sin (at). • Show detail theoretical solutions on a separate sheet. You must apply EXPONENTIAL Fourier Series approach to find the coefficient Dk and sketch (by hand) the magnitude spectra plot of Dk vs k. (for -5>k>5) • Compare the above theoretical results with the simulation plot obtained by running the following source codes using SCILAB. • Write a comment and conclusion based on the finding.

Use SCILAB to plot the Fourier Series Coefficient of a periodic signal x(t) = sin (tt). Source Code [/To represent a function in exponential Fourier series //Continuous Time Fourier Series Coefficient of a periodic signal x(t) = sin (nt) clc close clear V=1 t0 =1,T=1, w0 =2*3.14/T,P=1 t=0:0.01:3 f=V*abs( sin (%pi *t)) //The Exponential Fourier series coefficient disp('The Exponential Fourier series coefficient are for n=-5 to 5') a=1 for n=-5:5 fr=f.* cos(%pi *n*t/T) Fr(a)= inttrap (t,fr) fi=f* sin(%pi *n*t/T) Fi(a)= inttrap (t,fi) mag (a)=abs(Fr(a)+%i*Fi(a)) disp (Fr(a) -%i*Fi(a))) x(1,size (t,2))=0 x=x+((Fr(a))-%i*Fi(a)).*( cos(%pi *n*t/T)+%i* sin %pi *n*t/T)) a=a+1 end n=-5:5 subplot (2,1,1), plot2d (t,f, style =5) // Rectified sine function Plot xlabel ("t", "fontsize", 2); vlabel ("sin (Trt)","fontsize", 3, "color", "blue"); title ('NAME and ID Number') subplot (2,1,2),plot2d3 (n,mag,12, rect=[-11,0,11,1], style =4) //Plot of the magnitude of the Fourier coefficient xlabel ("k","fontsize", 2); ylabel ("|Dk]","fontsize",4,"color","red"); Legends ([ "Sin (TTT) ";"Exponential Fourier Coefficient Dk" ],[5,4], withbox =%f, opt="ur")