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Diffstat (limited to '2279/CH5/EX5.3/Ex5_3.sce')
-rw-r--r-- | 2279/CH5/EX5.3/Ex5_3.sce | 34 |
1 files changed, 34 insertions, 0 deletions
diff --git a/2279/CH5/EX5.3/Ex5_3.sce b/2279/CH5/EX5.3/Ex5_3.sce new file mode 100644 index 000000000..f3de06d08 --- /dev/null +++ b/2279/CH5/EX5.3/Ex5_3.sce @@ -0,0 +1,34 @@ +//Continuous Time Fourier Series Coefficients of +//a periodic signal x(t) = 5*cos((%pi/2*t)+(%pi/6)) +clear; +close; +clc; +t = 0:0.01:1; +T = 1; +Wo = 2*%pi/T; +xt = cos((%pi/2*t)+(%pi/6)) +x1t=cos((%pi/2*-t)+(%pi/6)) + +//x(t) is expanded according to Euler's theorem +x=5/2*(exp(%i*(%pi/2*t+%pi/6))+exp(-%i*(%pi/2*t+%pi/6))); +a1=5/2*exp(%i*%pi/6); +a_1=5/2*exp(-%i*%pi/6); +ak=[zeros(1,5) a_1 0 a1 zeros(1,5)]; +k=-6:6; +disp("The fourier series coefficients are...") +disp(ak) +disp("magnitude of Fourier series coefficient") +disp(abs(ak)) +subplot(2,1,1) +plot(k,abs(ak),'.'); +xtitle("Magnitude Spectrum","k","|ak|"); +if xt== x1t then + disp("The Given signal is even. It has no phase spectrum"); +else + phase=[zeros(1,5) atan(imag(a_1)/real(a_1)) 0 atan(imag(a1)/real(a1)) zeros(1,5)]; + disp("Phase of Fourier series coefficient in radians") + disp(phase) + subplot(2,1,2) + plot(k,phase,'.'); + xtitle("Phase Spectrum","k","ak in radians"); +end |