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0 100 200 300 400 500 600 700 800 900 1000-1

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)$")1("$!" ")$3, clc; N = 1024; n = 0:1:N-1; Amax = 1; A = Amax; F = 3; fmax = 512; signal = zeros(1,N); for f = F:2*F:fmax A = (Amax*2)/(f*pi); signal = signal + A*sin(2*pi*f*n/N); end y = signal; fig=figure(1); set(fig,'Position',[100 100 800 600]); set(fig,'Color',[1 1 1]); subplot(2,1,1); plot(n,y); ylim([(min(y)+min(y)*0.1) (max(y)+max(y)*0.1)]); xlim([0 N]); xlabel('sample (n)'); ylabel('amplitude x(n)'); subplot(2,1,2); z = abs(fft(y,N))*2/N; stem(n,z); xlim([0 (N/16)-1]); ylim([-max(z)*0.05 (max(z)+max(z)*0.1)]); xlabel('frequency(Hz)'); ylabel('magnitude');

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% *************************************** L = 47e-3; %Use milli Henry range C = 0.1e-6; %Use sub micro Farad range R = 100; %Can be 100 Ohms or more V = 5; % *************************************** clc; fr = 1/(2*pi*sqrt(L*C)); f = 0:10:fr*3; xl = 2*pi*f*L; xc = 1./(2*pi*f*C); q = (1/R)*sqrt(L/C); fr = 1/(2*pi*sqrt(L*C)); z = sqrt((R^2)+ (xl - xc).^2); i = V./z; ph = atan((xl-xc)/R); figure(1); clf; hold off plot(f, R*i,'color','blue'); %VR hold on plot(f,xl.*i,'color','red'); %VL plot(f,xc.*i,'color','green'); %VC text(3*fr/4,max(xc.*i)+ max(xc.*i)*0.1,['fr = ' num2str(fr)]); text(3*2*fr/4,max(xc.*i)+ max(xc.*i)*0.1,['i(max) = ' num2str(max(i))]); text(3*3*fr/4,max(xc.*i)+ max(xc.*i)*0.1,['Q = ' num2str(q)]); xlim([0 fr*3]); ylim([0 max(xc.*i)+ max(xc.*i)*0.2]); xlabel('Frequency (Hz)'); ylabel('Volts'); figure(2) plot(f,ph*180/pi,'color','cyan'); %phase xlim([0 fr*3]); "!"

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!"+4 B"5 %Discrete Fourier Transform Routine. clf format long figure(1); %------------------------------- N = 32; n = 0:1:N; Sig_Freq = 3; %-x(n) Signal frequency-- signal=sin(2*pi*n*Sig_Freq/N)+0.2*sin(2*pi*n*Sig_Freq*4/N); %-plot Signal x(n)-------------- subplot(2,1,1); plot (signal,'-g'); hold on; stem (signal); xlim([1 32]); %------------------------------- m=0; for I = 1:N+1 %-Cos+jSin---------------------- real = cos(2*pi*n*m/N); imaj = sin(2*pi*n*m/N); sig_real=signal.*real; sig_imaj=signal.*imaj; %-normalise signals------------- sig1 =sum(sig_real)*2/N; sig2 =sum(sig_imaj)*2/N; %-square signals---------------- sigdft =(sig1)*(sig1); sigdft2=(sig2)*(sig2); %-square root sum of signals---- sig3 = (sigdft+sigdft2)^0.5; %-plot magnitude of harmonics--- subplot (2,1,2); hold on; stem (m,sig3);

m = m+1; end; xlim([0 33]);

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clc; clear all; N = 1024; n = 0:1:N-1; fmax = 1; nH = 14; fig = figure(1); clf; set(fig,'Position',[100 100 800 600]); set(fig,'Color',[1 1 1]); subplot(3,1,1); hold on; y=0; for f = 1:2:nH; plot(sin(2*pi*f*n/N)/f, 'color', [1-f/nH 0.5 f/nH]); y = y + (sin(2*pi*f*n/N)/f); end ylim([-1.1 1.1]); xlim([0 N]); xlabel('time (t)'); ylabel('amplitude x(t)'); Box on; subplot(3,1,2); plot(n,y); ylim([(min(y)+min(y)*0.1) (max(y)+max(y)*0.1)]); xlim([0 N]); xlabel('time (t)'); ylabel('amplitude x(t)'); subplot(3,1,3); z = abs(fft(y,N))*2/N; stem(n,z,'-r'); ylim([-max(z)*0.05 (max(z)+max(z)*0.1)]); xlim([0 (N/32)-1]); xlabel('frequency(Hz)'); ylabel('magnitude');