Experiment-4
Submitted By-Hritik Agarwal
Enroll-19102131
Batch-A5
INLAB
Q1)
%INLAB EXERCISE
%Q1)
n=-20:20
x1=2*sin((2*pi*n)/8).*(n>=0)
x2=-4*exp((-n)/6)
%a)x1[n]x2[n]
x=x1.*x2
subplot(3,2,1)
stem(n,x)
xlabel('n')
ylabel('x[n]')
title('x1[n]x2[n]')
%b)4x1[n]+2x2[n]
x=4*x1+2*x2
subplot(3,2,2)
stem(n,x)
xlabel('n')
ylabel('x[n]')
title('4x1[n]+2x2[n]')
%c)x1[2n]x2[3n]
ds1=2
ds2=3
n_x1=n(mod(n,ds1)==0)
ds_x1=x1(n_x1(1)-n(1)+1:ds1:n_x1(end)-n(1)+1)
n_x2=n(mod(n,ds2)==0)
ds_x2=x2(n_x2(1)-n(1)+1:ds2:n_x2(end)-n(1)+1)
new_n=unique(floor(n_x2/ds2))
x=ds_x1(5:17).*ds_x2
subplot(3,2,3)
stem(new_n,x)
xlabel('n')
ylabel('x[n]')
title('x1[2n]x2[3n]')
%d)x1[2n]/x2[-n]
ds1=2
n_x1=n(mod(n,ds1)==0)
ds_x1=x1(n_x1(1)-n(1)+1:ds1:n_x1(end)-n(1)+1)
new_n=unique(floor(n/ds1))
ds_x2=x2(length(x2):-1:1)
x=ds_x1./ds_x2(11:31)
subplot(3,2,4)
stem(new_n,x)
xlabel('n')
ylabel('x[n]')
title('x1[2n]/x2[-n]')
%e)3x1[n/2]+2x2[n/3]
ds_x1=zeros(1,81)
for i =-40:40
if mod(i,2)==0
ds_x1(i+41)=3.*x1((i/2)+21)
end
end
ds_x2=zeros(1,121)
for i =-60:60
if mod(i,3)==0
ds_x2(i+61)=2.*x2((i/3)+21)
end
end
ds_x2(21:101)=ds_x2(21:101)+ds_x1(1:81)
subplot(3,2,5)
stem(-60:60,ds_x2)
xlabel('n')
ylabel('x[n]')
title('3x1[n/2]+2x2[n/3]')
Q2)
%Q2)
n=-7:7
x=[-4,-6,-5,-4,-3,-2,-1,0,1,2,2/3,2/4,2/5,2/6,2/7]
subplot(321)
stem(n,x)
xlabel('n')
ylabel('x[n]')
title('x[n]')
%a)x[-n]
ds_x1=x(length(x):-1:1)
subplot(322)
stem(n,ds_x1)
xlabel('n')
ylabel('x1[n]')
title('x[-n]')
%b)x[3-n]
subplot(323)
stem(n+3,ds_x1)
xlabel('n')
ylabel('x2[n]')
title('x[3-n]')
%c)x[2n]
n_x3=n(mod(n,2)==0)
ds_x3=x(n_x3(1)-n(1)+1:2:n_x3(end)-n(1)+1)
new_n=unique(floor(n_x3/2))
subplot(324)
stem(new_n,ds_x3)
xlabel('n')
ylabel('x3[n]')
title('x[2n]')
%d)x[n/2]
ds_x4=zeros(1,29)
for i =-14:14
if mod(i,2)==0
ds_x4(i+15)=x((i/2)+8)
end
end
subplot(325)
stem(-14:14,ds_x4)
xlabel('n')
ylabel('x4[n]')
title('x[n/2]')
Q3)
%Q3)
t=-1:0.01:1
x=(t+1).*(t>=-1)-(t+1).*(t>=0)-(t-1).*(t>=0)+(t-1).*(t>=1)
subplot(221)
plot(t,x)
xlabel('t')
ylabel('x(t)')
title('x(t)')
%a)x(3t)
subplot(222)
plot(t/3,x)
xlabel('t')
ylabel('x(t)')
title('x(3t)')
%b)x(3t+2)
subplot(223)
plot((t-2)/3,x)
xlabel('t')
ylabel('x2(t)')
title('x(3t+2)')
%c)x(2-t)
subplot(224)
plot(-(t-2),x)
xlabel('t')
ylabel('x4(t)')
title('x(2-t)')
POSTLAB
Q1)
%POST LAB EXERCISE
%Q1) plot
t=-1:0.01:7
x=2*t.*(t>=-1)-(2*t-2).*(t>=1)-(t-3).*(t>=2)+(t-4).*(t>=4)-(t-5).*(t>=5)+(t-6).*(t>=7)
plot(t,x)
xlabel('t')
ylabel('x(t)')
title('x(t)')
Q2)
%Q2)
n=-4:2
x=[0,-1,0,2,1,1,0]
subplot(2,2,1)
stem(n,x)
xlabel('n')
ylabel('x(n)')
title('x(n)')
%a)x(2n)
n_x=n(mod(n,2)==0)
ds_x=x(n_x(1)-n(1)+1:2:n_x(end)-n(1)+1)
new_n=unique(floor(n/2))
subplot(2,2,2)
stem(new_n,ds_x)
xlabel('n')
ylabel('x(n)')
title('x(2n)')
%b)x(3n-1)
n_x=n(mod((n+1),3)==0)
ds_x=x(n_x(1)-n(1)+1:3:n_x(end)-n(1)+1)
subplot(2,2,3)
stem(-1:1,ds_x)
xlabel('n')
ylabel('x(n)')
title('x(3n-1)')
%c)x(3-n)
ds_x=[x(length(n):-1:5),x(4),x(1:3)]
subplot(224)
stem(n+3,ds_x)
xlabel('n')
ylabel('x(n)')
title('x(3-n)')
Q3)
%Q3)
t=-2:0.001:8
x=(2*t-4).*(t>=-2)+(5*t).*(t>=0)-(5*t-20).*(t>=4)+(2*t+14).*(t>=8)
subplot(2,2,1)
plot(t,x)
xlabel('t')
ylabel('x(t)')
title('x(t)')
%a)3x(t+1)
subplot(2,2,2)
plot(t-1,3.*x)
xlabel('t')
ylabel('x1(t)')
title('3x(t+1)')
%b)x(4t)
subplot(223)
plot(t/4,0.5.*x)
xlabel('t')
ylabel('x(t)')
title('x(4t)')
%c)x((t-1)/2)
subplot(2,2,4)
plot(2*t+1,-2.*x)
xlabel('t')
ylabel('x(t)')
title('x((t-1)/2)')