1st simple program :
clc;
close all;
clear;
N=7;
m=0:6;
xk=cos(2*pi*(m/N))
figure ;
plot(m,xk);
xlabel('m values');
ylabel('xk values');
output values:
xk =
1.0000 0.6235 -0.2225 -0.9010 -0.9010 -0.2225 0.6235
considering m values
0,0to1,1to2,2to3,3 to4,4to5,5to6 with incremnt 0.1
clc;
close all;
clear;
N=7;
m=0;
xk1=cos(2*pi*(m/N))
figure (1);
plot(m,xk1)
subplot(7,1,1);
xlabel('m values');
ylabel('xk1 values');
m=0:0.1:1;
xk2=cos(2*pi*(m/N))
plot(m,xk2)
subplot(7,1,2);
xlabel('m values');
ylabel('xk2 values')
m=1:0.1:2;
xk3=cos(2*pi*(m/N))
plot(m,xk3)
subplot(7,1,3);
xlabel('m values');
ylabel('xk3 values');
m=2:0.1:3;
xk4=cos(2*pi*(m/N))
plot(m,xk4)
subplot(7,1,4);
xlabel('m values');
ylabel('xk4 values');
m=3:0.1:4;
xk5=cos(2*pi*(m/N))
plot(m,xk4)
subplot(7,1,5);
xlabel('m values');
ylabel('xk5 values');
m=4:0.1:5;
xk6=cos(2*pi*(m/N))
plot(m,xk6)
subplot(7,1,6);
xlabel('m values');
ylabel('xk6 values');
m=5:0.1:6;
xk7=cos(2*pi*(m/N))
plot(m,xk7)
subplot(7,1,7);
xlabel('m values');
ylabel('xk7 values');
outputs:
xk1 =
1
xk2 =
1.0000 0.9960 0.9839 0.9640 0.9362 0.9010 0.8584 0.8090 0.7531 0.6911 0.6235
xk3 =
0.6235 0.5509 0.4739 0.3930 0.3090 0.2225 0.1342 0.0449 -0.0449 -0.1342 -0.2225
xk4 =
-0.2225 -0.3090 -0.3930 -0.4739 -0.5509 -0.6235 -0.6911 -0.7531 -0.8090 -0.8584 -0.9010
xk5 =
-0.9010 -0.9362 -0.9640 -0.9839 -0.9960 -1.0000 -0.9960 -0.9839 -0.9640 -0.9362 -0.9010
xk6 =
-0.9010 -0.8584 -0.8090 -0.7531 -0.6911 -0.6235 -0.5509 -0.4739 -0.3930 -0.3090 -0.2225
xk7 =
-0.2225 -0.1342 -0.0449 0.0449 0.1342 0.2225 0.3090 0.3930 0.4739 0.5509 0.6235

please check 2nd program all output last values compare to 1st program output values
they must be equal
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solve all questions simply by using matlab.
write all step here please
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In MATLAB
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