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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 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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DFT and IDFT using Matrix Multiplication Method in Matlab

dftidft3 clc clear all close all X=input( 'Enter the Input Sequence' ); N=input( 'Enter the value of N such taht N-point DFT is to be calculated' ); %Inputs are taken% n=0:1:N-1; k=0:1:N-1; nk=n'*k; %n transpose * k gives us a N*N matrix% W=exp(-(j*2*pi)/N); % Twiddle Factor % Wnk=W.^nk; % Twiddle Factor matrix is generated % Y= Wnk*X' ; % Twiddle factor matrix multiplied by X transpose% %Reason behing going to Transopose of the input matrix is : when we enter a matrix sequence we usually use ROW Matrix, in order to convert ROW to COLUMN we are using Transpose% 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% W=exp((j*2*pi)/N); % Twiddle Factor % Wnk=(W.^nk)/N; % Twiddle Factor matrix is generated % Yinv= Wnk*Y ; % Twiddle factor matrix multiplied by Y% L=length...
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