Merge branch 'main' of...

y1=sin((pi/2)*x1);

y2=sin((pi/2)*x2);

subplot(3,1,1);

subplot(4,1,1);

stem(n,x1);

title('1.4 (d)-1');

xlabel('n');

ylabel('x1[n]');

ylabel('x_1[n]');

subplot(3,1,2);

subplot(4,1,2);

stem(n,x2);

title('1.4 (d)-2');

xlabel('n');

ylabel('x2[n]');

ylabel('x_2[n]');

subplot(3,1,3);

stem(n,y1,'b--s');

hold on;

stem(n,y2,'r--h');

legend('sin(\pi/2) x1[n]','sin(\pi/2) x2[n]')

subplot(4,1,3);

stem(n,y1,'m--s');

title('1.4 (d)-3');

xlabel('n');

ylabel('y[n]');

ylabel('(sin(\pi/2) x_1[n])');

subplot(4,1,4);

stem(n,y2,'r--h');

title('1.4(d)-4');

xlabel('n');

ylabel('(sin(\pi/2) x_2[n])');

saveas(gcf, "LAB1/P1_4_d_out.png")

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% Linearity not satified

n=-5:1:5;

x1=n;

x2=3*n;

x1=n>=0;

x2=3*x1;

y1=x1.^3;

y2=x2.^3;

stem(x1,y1);

stem(n,y1);

hold on

stem(x1,y2,'r');

stem(n,y2,'r');

title('1.4(e)');

legend({'x[n]=n','x[n]=3n'}, 'Location', 'northeast');

legend({'x[n]=u[n]','x[n]=3u[n]'}, 'Location', 'northeast');

xlabel('x[n]');

ylabel('y[n]');

ylabel('y[n]=x^3[n]');

saveas(gcf, "LAB1/P1_4_e_out1.png")

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