%Name:-Bhamare Kishor D.%MIS No.141305012%Programe for Calculation of Fourier Series Coefficients

clcclearN=16;n=0:15;x=2+5*sin(3*pi*n/2)+6*cos(pi*n/8);z=zeros(1,N);for k=0:N-1;for n=0:N-1;z(k+1)=z(k+1) + (x(n+1)*exp(-1i*2*pi*n*k/N))/N;endendZ(1,1)=2;t=0:N-1;stem(t,abs(z));

Results:-

%Programe for Calculation of DFT of Input Signal

clc;clear all;q=input('Enter iteration=');s=((2*pi)/12);y=zeros(1,q);z=zeros(1,q);for i=1:q; x=2*cos(s*(i-1)); y(1,i)=x;end;for i=1:q; x=4*sin(s*(i-1)); z(1,i)=x;end;t=0:1:q-1;subplot(2,2,1);stem(t,y);xlabel('N');ylabel('Magnitude of First Input Signal');hold on;h=y+z;t=0:1:q-1;subplot(2,2,2);stem(t,z);xlabel('N');ylabel('Magnitude of Second Input Signal');hold on; %programe for Discrete fourier Transformn=length(h);l=zeros(1,n);a=((2*pi)/12);for k=1:n; for j=1:n; l(k)=l(k)+h(j)*exp(-1i*a*(j-1)*(k-1)); end;end; disp('Fourier Transform Result of Input Signal');disp(l);p=abs(l);q=imag(l);r=angle(l);s=real(l);t=0:1:n-1;subplot(2,2,3);stem(t,p);hold on;xlabel('N');ylabel('Magnitude of DFT ');title('Discrete Time Fourier Transform');

Result:-