Please show the step to solve theoretical solution. Compare the theoretical solution and sci lab simulation and provide
Posted: Sat Nov 27, 2021 10:32 am
Please show the step to solve theoretical solution. Compare the
theoretical solution and sci lab simulation and provide the
conclusion. ty
Mathematically compute the Fourier transform of signal x(t) = cos (4nt) and sketch the magnitude plot of the transformed signal X(0)| versus o in frequency domain. • Show detail theoretical solutions on a separate sheet. • 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.
Source Code // Continuous Time Fourier Transform of the sinusoidal waveforms cos(4ttt) clear; clc; close; V=1 to =1,T=0.5, w0 =2*3.14/T,P=1 t=-1:0.01:1 f1=V*( cos (4* %pi *t)) T1 = 0.5; T = 4* T1; Wo = 2* %pi/T1; W = [-W0,0, Wol; ak = (2* %pi *Wo T1/%pi)/sqrt(-1); XW = [-ak, 0, ak]; ak1 = (2* %pi*Wo*T1/%pi); XW1 =[ ak1,0, ak1]; clf 0; a = gca(); a.y_location="origin"; a.x_location="origin"; function set my line styles(style, thickness) e = gce 0; e.children.line_style = style; e children.thickness = thickness; endfunction subplot (211); plot2d (t, f1,5); set my line styles(1,3); xlabel ("t","fontsize", 3); title ("Cos(4ttt)","fontsize", 7, "color", "red") subplot(212); plot2d3 ('gnn',W,XW1,2,style =6); set my line styles(1,3); xlabel ('Win rad/sec' ); ylabel ("X(w)","fontsize", 3, "color", "blue"); title ('NAME and ID Number',"fontsize", 7, "color", "green") legends ("CTFT of cos(4 itt)",[2,6], withbox =%f, opt="ur")
theoretical solution and sci lab simulation and provide the
conclusion. ty
Mathematically compute the Fourier transform of signal x(t) = cos (4nt) and sketch the magnitude plot of the transformed signal X(0)| versus o in frequency domain. • Show detail theoretical solutions on a separate sheet. • 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.
Source Code // Continuous Time Fourier Transform of the sinusoidal waveforms cos(4ttt) clear; clc; close; V=1 to =1,T=0.5, w0 =2*3.14/T,P=1 t=-1:0.01:1 f1=V*( cos (4* %pi *t)) T1 = 0.5; T = 4* T1; Wo = 2* %pi/T1; W = [-W0,0, Wol; ak = (2* %pi *Wo T1/%pi)/sqrt(-1); XW = [-ak, 0, ak]; ak1 = (2* %pi*Wo*T1/%pi); XW1 =[ ak1,0, ak1]; clf 0; a = gca(); a.y_location="origin"; a.x_location="origin"; function set my line styles(style, thickness) e = gce 0; e.children.line_style = style; e children.thickness = thickness; endfunction subplot (211); plot2d (t, f1,5); set my line styles(1,3); xlabel ("t","fontsize", 3); title ("Cos(4ttt)","fontsize", 7, "color", "red") subplot(212); plot2d3 ('gnn',W,XW1,2,style =6); set my line styles(1,3); xlabel ('Win rad/sec' ); ylabel ("X(w)","fontsize", 3, "color", "blue"); title ('NAME and ID Number',"fontsize", 7, "color", "green") legends ("CTFT of cos(4 itt)",[2,6], withbox =%f, opt="ur")