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Fourier series of full-wave rectified sinusoid A full-wave rectified sinusoid is

ID: 2313302 • Letter: F

Question

Fourier series of full-wave rectified sinusoid A full-wave rectified sinusoid is a sinusoidal signal where only the positive lobe is kept. It is often used in DC power supply design. Consider the following full-wave rectified sinusoid with a frequency of 50Hz: x(t) = 240 cos(2 pi t + 0.25 pi), for 0 lessthanorequalto t lessthanorequalto 0.01 0, for 0.01 lessthanorequalto t lessthanorequalto 0.02 Write MATLAB code to plot x(t) for 0 lessthanorequalto t lessthanorequalto 0.5. Write MATLAB code to compute and plot-(2N + 1) Fourier coefficients of x(t), a_-N,.... a_0,.... a_N. Use N = 40. Write MATLAB code to plot the signal that is constructed from the above (2N + 1) Fourier coefficients of x(t).

Explanation / Answer

good afternoon here u asked about the matlab code for full wave with some ranges so i am sending u the particular code without assigning values

%clear;clc;close all;

Vm=325;f=50; %declaration of max value and frequency

w=2*pi*f;

ts=1/f;

dt=1e-3;

%dt=TS/(512); %DECLARATION OF TIME PERIOD

t=0:dt:TS; %DECLARATION OF TIME VECTOR

V=VM*SIN(W*t);

plot(t,v);grid; %plot of voltage versus time

xlabel('TIME(sec)');

ylabel('Magnitude (volts)');

title(plot of sinsusoidal periodic function');

Vdc=mean(v)

Vrms=sqrt(mean (v.^2)

this is the code for sinsusoidal signal for the above values

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