File:DFT zero-padding technique example (2N) - Sequence.pdf
| Description |
English: Example of zero-padding technique for the Discrete Fourier Transform (DFT): gate sequence with .
Italiano: Esempio di tecnica di aggiunta degli zeri per la trasformata di Fourier discreta (DFT): sequenza porta con . |
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| Date | |||
| Source | Own work | ||
| Author | Luca Ghio | ||
| Permission (Reusing this file) |
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| gnuplot source | click to expand
N=10;
n=[0:N-1]
x=[ones(1,N)];
y=fft(x,length(x));
figure
set (gca,'FontSize',14)
stem(n,x)
xlabel('n')
ylabel('x(n)')
axis([0 N-1 -0.5 1.5])
grid on
figure
set (gca,'FontSize',14)
stem(n,abs(y),'o')
xlabel('n')
ylabel('|X(k)|')
axis([0 N-1 -1 11])
grid on
N=10;
N1=2*N;
x=[ones(1,N) zeros(1,N1-N)];
n=[0:N1-1];
y=fft(x,length(x));
figure
set (gca,'FontSize',14)
stem(n,x)
xlabel('n')
ylabel('x(n)')
axis([0 N1-1 -0.5 1.5])
grid on
figure
set (gca,'FontSize',14)
stem(n,abs(y),'o')
xlabel('k')
ylabel('|X_z(k)|')
axis([0 N1-1 -1 11])
grid on
N=10;
N1=4*N;
x=[ones(1,N) zeros(1,N1-N)];
n=[0:N1-1];
y=fft(x,length(x));
figure
set (gca,'FontSize',14)
stem(n,x)
xlabel('n')
ylabel('x(n)')
axis([0 N1-1 -0.5 1.5])
grid on
figure
set (gca,'FontSize',14)
stem(n,abs(y),'o')
xlabel('k')
ylabel('|X_z(k)|')
axis([0 N1-1 -1 11])
grid on
N=10;
N1=1000;
x=[ones(1,N) zeros(1,N1-N)];
n=[0:N1-1];
y=fft(x,length(x));
f=n/N1;
figure
set (gca,'FontSize',14)
plot(f,abs(y))
xlabel('f')
ylabel('|X(e^{j2\pi f})|')
axis([0 1 -1 11])
grid on
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