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# Lab Report 1

## Problem 1.4

### Question a

n = -5:1:5; 

x1=[zeros(1,5) 1 zeros(1,5)];

x2=2*x1;

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

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

%Plot

subplot(2,1,1);

stem(n,y1);

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

xlabel('n');

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

ylabel('y_1=sin(\pi/2) x_1[n]');

subplot(2,1,2);

stem(n,y2,'r');

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

xlabel('n');

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

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ylabel('y_2=sin(\pi/2) x_2[n]');

saveas(gcf, "LAB1/P1_4_a_out.png")

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n2=-6:9;

x1=[zeros(1,5),ones(1,10)];

x2=[zeros(1,4),ones(1,11)];

subplot(3,1,1);

stem(n1,x1,'b--^');

xlim([-6 10]);

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

xlabel('n');

ylabel('x[n]=u[n]');

subplot(3,1,2);

stem(n1,x2,'m--h');

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

stem(n1,x2,'b--^');

xlim([-6 10]);

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

xlabel('n');

ylabel('x[n+1]=u[n+1]');

y1=[0 x1+x2];

subplot(3,1,3);

stem(n2,y1,'r--p');

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

xlim([-6 10]);

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

xlabel('n');

ylabel('y[n]=x[n]+x[n+1]');

saveas(gcf, "LAB1/P1_4_b_out.png")

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