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R PROGRAM:
EXPONENTIAL:
clc
clear all
close all
n=0:2:40;
A=2;
a=-0.2;
x=A*exp(a*n);
stem(n,x);
xlabel('sampel');
ylabel('mag');
title('expsig');
SINUISOIDAL:
clc;
clear all;
close all;
n=-20:0.1:20;
A=2;
fi=0.1;
x=A*sin(2*pi*fi*n);
stem(n,x);
xlabel('sample');
ylabel('mag');
title('sinsig');
RAMP SIGNAL:
clc;
clear all;
close all;
n=-20:1:20;
x=zeros(size(n));
for i=1:length(n)
if n(i)>0
x(i)=n(i)
end
end
stem(n,x);
xlabel('sample');
ylabel('mag');
title('rampsignal');
Experiment 2(Correlation)
clc
clear all
close all
a=[-5,-3,-1,0,1,3,5];
b=[1,1,1,0,1,1,1];
z=xcorr(a);
y=xcorr(b);
x=xcorr(a,b);
figure;
n=-6:6;
m=-3:3;
subplot(5,1,1);
stem(m,a);
subplot(5,1,2);
stem(m,b);
subplot(5,1,3);
stem(n,z);
subplot(5,1,4);
stem(n,y);
subplot(5,1,5);
stem(n,x);
Experiment 3(Convolution)
clear all
close all
x=[-4,-3,-2,0,1,2,3]
y=[0,1,1,2,1,1,0]
z=conv(x,y)
figure;
subplot(3,1,1)
stem(-3:3,x)
subplot(3,1,2)
stem(-3:3,y)
subplot(3,1,3)
stem(-6:6,z)
Experiment4(Z transform)
clc
clear all
close all
num=[-3 2 2 4 6 8];
den=[1 3 6.5 12 16 18 ];
N=max(length(num),length(den));
h=impz(num,den,N+1);
figure;
stem(h);
Experiment5(DTFT)
clc
clear all
close all
w= -4*pi: pi/256: 4*pi;
num=[1 0.6];
den=[1 0.3 -0.8];
h=freqz(num,den,w);
figure;
plot(w,abs(h));
title('Magnitude response');
figure;
plot(w,angle(h));
title('Phase response');
Experiment6(DFT)
clc
clear all
close all
w= -4*pi: pi/256: 4*pi;
num=[1 0.6];
den=[1 0.3 -0.8];
h=freqz(num,den,w);
figure;
plot(w,abs(h));
title('Magnitude response');
figure;
plot(w,angle(h));
title('Phase response');
Experiment7(Circular COnvolution)
R PROGRAM
clc
clear all
close all
x1=[1,2,-3,4];
x2=[1,0,2,0];
N=length(x1);
X1=fft(x1,N);
X2=fft(x2,N);
Y=X1.*X2;
y=ifft(Y,N);
stem(y)
z=cconv(x1,x2,z);
stem(z)
Experiment8(Butterworth)
clc
clear all
close all
f1=10;
f2=20;
fc=15;
fs=500;
t=0:0.02:1;
x=2*sin(2*pi*f1*t)+3*cos(2*pi*f2*t);
[b,a]=butter(6,fc/(fs/2));
freqz(b,a,[],fs);
xf=filter(b,a,x);
figure;
plot(t,x);
figure;
plot(t,xf);
clc
clear all
close all
f1=10;
f2=20;
fc=25;
fs=500;
t=0:0.02:10;
x=2*sin(2*pi*f1*t)+3*cos(2*pi*f2*t);
[b,a]=butter(6,fc/(fs/2));
freqz(b,a,[],fs);
xf=filter(b,a,x);
figure;
plot(t,x);
figure;
plot(t,xf);
Experiment 9(Chebyshev)
clc;
close all;
f1=10;
f2=20;
fc=30;
fs=70;
t=0:1/fs:5;
N=5;
x=10*sin(2*pi*f*t)+2*cos(2*pi*f2*t);
[b,a]=cheby1(N,3,(fc*2/fs));
figure;
freqz(b,a,[],fs);
xf=filter(b,a,x);
figure;
plot(t,x);
figure;
plot(t,xf);
Experiment10(using windowing)
Low Pass
clc;
close all;
f1=100;
f2=200;
f3=300
fs=1000;
fc1=150;
fc2=250;
t=0:1/fs:0.2;
N=30;
x1=10*sin(2*pi*f1*t);
x2=2*cos(2*pi*f2*t);
x3=5*sin(2*pi*f3*t);
x=10*sin(2*pi*f1*t)+2*cos(2*pi*f2*t)+5*sin(2*pi*f3*t);
b=fir1(N,[fc1/(fs/2)],'low',boxcar(N+1));
figure;
freqz(b,1,N);
xf=filter(b,1,x);
figure;
plot(t,xf);
figure;
plot(t,x1)
High Pass
clc;
close all;
f1=100;
f2=200;
f3=300
fs=1000;
fc1=150;
fc2=250;
t=0:1/fs:0.2;
N=30;
x1=10*sin(2*pi*f1*t);
x2=2*cos(2*pi*f2*t);
x3=5*sin(2*pi*f3*t);
x=10*sin(2*pi*f1*t)+2*cos(2*pi*f2*t)+5*sin(2*pi*f3*t);
b=fir1(N,[fc2/(fs/2)],'high',hamming(N+1));
figure;
freqz(b,1,N);
xf=filter(b,1,x);
figure;
plot(t,xf);
figure;
plot(t,x3);
Bandpass
clc;
close all;
f1=100;
f2=200;
f3=300
fs=1000;
fc1=150;
fc2=250;
t=0:1/fs:0.2;
N=30;
x1=10*sin(2*pi*f1*t);
x2=2*cos(2*pi*f2*t);
x3=5*sin(2*pi*f3*t);
x=10*sin(2*pi*f1*t)+2*cos(2*pi*f2*t)+5*sin(2*pi*f3*t);
b=fir1(N,[fc1/(fs/2) fc2/(fs/2)],'bandpass',boxcar(N+1));
figure;
freqz(b,1,N);
xf=filter(b,1,x);
figure;
plot(t,xf);
figure;
plot(t,x2);
Experiment11(FIR Parks Mccanson Approach)
Low Pass Filter
clc
clear all
close all
F = [0,0.3,0.4,0.7,0.8,1];
A = [0,0,1,1,0,0];
f1 = 100;
f2 = 200;
f3 = 300;
N = 30;
t = 0.1:1/500:0.2;
x = 2*sin(2*pi*f1*t) + 5*cos(2*pi*f2*t) + 4*cos(2*pi*f3*t);
x1 = 2*sin(2*pi*f1*t);
x2 = 2*sin(2*pi*f2*t);
x3 = 2*sin(2*pi*f3*t);
b = firpm(N,F,A);
figure;
freqz(b,1,N)
figure;
plot(t,x)
xf = filter(b,1,x);
figure;
plot(t,xf)
High Pass Filter-
clc
clear all
close all
F = [0,0.3,0.4,0.7,0.8,1];
A = [0,0,0,0,1,1];
f1 = 100;
f2 = 200;
f3 = 300;
N = 30;
t = 0.1:1/500:0.2;
x = 2*sin(2*pi*f1*t) + 5*cos(2*pi*f2*t) + 4*cos(2*pi*f3*t);
x1 = 2*sin(2*pi*f1*t);
x2 = 2*sin(2*pi*f2*t);
x3 = 2*sin(2*pi*f3*t);
b = firpm(N,F,A);
figure;
freqz(b,1,N)
figure;
plot(t,x)
xf = filter(b,1,x);
figure;
plot(t,xf)
Band Pass Filter-
clc
clear all
close all
F = [0,0.3,0.4,0.7,0.8,1];
A = [0,0,1,1,0,0];
f1 = 100;
f2 = 200;
f3 = 300;
N = 30;
t = 0.1:1/500:0.2;
x = 2*sin(2*pi*f1*t) + 5*cos(2*pi*f2*t) + 4*cos(2*pi*f3*t);
x1 = 2*sin(2*pi*f1*t);
x2 = 2*sin(2*pi*f2*t);
x3 = 2*sin(2*pi*f3*t);
b = firpm(N,F,A);
figure;
freqz(b,1,N)
figure;
plot(t,x)
xf = filter(b,1,x)
figure;
plot(t,xf)
Band Stop Filter-
clc
clear all
close all
F = [0,0.3,0.4,0.7,0.8,1];
A = [0,0,1,1,0,0];
f1 = 100;
f2 = 200;
f3 = 300;
N = 30;
t = 0.1:1/500:0.2;
x = 2*sin(2*pi*f1*t) + 5*cos(2*pi*f2*t) + 4*cos(2*pi*f3*t);
x1 = 2*sin(2*pi*f1*t);
x2 = 2*sin(2*pi*f2*t);
x3 = 2*sin(2*pi*f3*t);
b = firpm(N,F,1-A);
figure;
freqz(b,1,N)
figure;
plot(t,x)
xf = filter(b,1,x)
figure;
plot(t,xf)