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Introduction to this Blog

In this blog we are willing to accumulate useful information related to the hot topic in market : Digital Signal Processing !! |
Starting with very basics this blog would lead to you some interesting topics in DSP which will help you a lot !

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DFT and IDFT using FFT command in Matlab

dftidft1 clc clear all close all X=input( 'Enter the Input Sequence' ); N=input( 'Enter the Value of N such that N-point DFT is to be Calculated' ); % INPUTS ARE GIVEN % Y= fft(X,N) %DFT IS CALCULATED% L=length(Y); n=0:1:L-1; figure,plot(n,abs(Y)),title( 'Magnitude Response of DFT' ) figure, plot(n, angle(Y)), title( 'Phase Response of DFT' ) %MAGNITUDE and PHASERESPONSE OF DFT SIGNAL IS PLOTTED% Yinv=ifft(Y,N) %IDFT IS CALCULATED% figure,plot(n,abs(Yinv)),title( 'Magnitude Response of IDFT' ) figure, plot(n, angle(Yinv)), title( 'Phase Response of IDFT' ) %MAGNITUDE and PHASERESPONSE OF ORIGINAL SIGNAL IS PLOTTED% Error using input Cannot call INPUT from EVALC. Error in dftidft1 (line 5) X=input('Enter the Input Sequence'); Published with MATLAB® R2013b
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Circular Convolution of the two Sequences

The program code is : clc clear all close all X1=input('ENTER THE SEQUENCE 1 >'); i1=input('ENTER THE STARTING INDEX OF THE SEQUENCE 1 >'); X2=input('ENTER THE SEQUENCE 2 >'); i2=input('ENTER THE STARTING INDEX OF THE SEQUENCE 2 >'); m1=length(X1); m2=length(X2); if(m1>m2)     Y=cconv(X1,X2,m1)     n3=(i1+i2):(i1+i2+m1-1); else     Y=cconv(X1,X2,m2)     n3=(i1+i2):(i1+i2+m2-1); end Yref=conv(X1,X2) n1=i1:i1+m1-1; n2=i2:i2+m2-1; n4=(i1+i2):(length(Yref)-1+i1+i2); subplot(4,1,1) stem(n1,X1,'r') xlabel('n'); ylabel('Amplitude'); title('Sequence 1'); subplot(4,1,2) stem(n2,X2,'g') xlabel('n'); ylabel('Amplitude'); title('Sequence 2'); subplot(4,1,3) stem(n3,Y,'c') xlabel('n'); ylabel('Amplitude'); title('Circular Convolution of the Above two sequences'); subplo...
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DFT and IDFT using Mathematical Formula

dftidft2 clc clear all close all X=input( 'Enter the Input Sequence' ); N=input( 'Enter the N value such that N-point DFT is calculated' ); %Inputs are given% L=length(X); if N>L X=[X zeros(1,N-L)]; else X=X(1:N); end %Adjusting the Length of the input Sequence by appending Zeros or truncating the sequence% for k=1:N key=0; for n=1:N key=key+X(n)*exp(-(j*2*pi*(k-1)*(n-1))/N); end Y(k)=key; end %DFT is calculated% Y %DFT is printed% L=length(Y); n=0:1:L-1; figure,plot(n,abs(Y)),title( 'Magnitude Response of DFT' ) figure, plot(n, angle(Y)), title( 'Phase Response of DFT' ) %MAGNITUDE and PHASERESPONSE OF DFT SIGNAL IS PLOTTED% for k=1:N key=0; for n=1:N key=key+Y(n)*exp((j*2*pi*(k-1)*(n-1))/N); end Yinv(k)=key/N; end %IDFT is calculated% Yinv L=length(Y); n=0:1:L-1; figure,plot(n,abs(Yinv)),title( 'Magnitude Response of IDFT' ) figure, plot(n, ang...
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