[PDF] [PDF] FFT Tutorial

FFT Tutorial 1 Getting to Know the FFT What is the FFT? FFT = Fast Fourier Transform The FFT is a faster version of the Discrete Fourier Transform (DFT)



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[PDF] FFT Octave Codes (1B)

6 juil 2017 · DFT Octave Codes (0B) 9 Young Won Lim 7/6/17 Cosine Wave 1 n= [0:29]; x= cos(2*pi*n/10); U of Rhode Island, ELE 436, FFT Tutorial ω



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More on the Dial Tone Example: Octave The floating binary format is not compatible with MATLAB or Octave To change it spectrum of the data using the fft:



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FFT Tutorial 1 Getting to Know the FFT What is the FFT? FFT = Fast Fourier Transform The FFT is a faster version of the Discrete Fourier Transform (DFT)



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sous Matlab : fft, ifft, fftshift, ifftshift Karsten Plamann, février 2018 1 Définition et syntaxe de fft et ifft1 Y = fft(X) et X = ifft(Y) calculent la transformation de Fourier 

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ELE436:CommunicationSystems

FFTTutorial

1GettingtoKnowtheFFT

DTF,butinmuchlesstime.

Matlaborinreal-timeontheSR770

2ReviewofTransforms

LaplaceTransform:x(t),X(s)whereX(s)=1R

¡1x(t)e¡stdt

¡1x(t)e¡j!tdt

zTransform:x[n],X(z)whereX(z)=1P n=¡1x[n]z¡n n=¡1x[n]e¡jn transformatz=ej. 1

3UnderstandingtheDFT

understandingofthepropertiesoftheDTFT. regionbetween0andfs. imageofthedatabetween0and0:5fs.

00.10.20.30.40.50.60.70.80.910

2 4 6 8 10 12 frequency/fs

Figure1:PlotshowingthesymmetryofaDFT

2

4MatlabandtheFFT

n=[0:29]; x=cos(2*pi*n/10);

N1=64;

N2=128;

N3=256;

X1=abs(fft(x,N1));

X2=abs(fft(x,N2));

X3=abs(fft(x,N3));

scalesothatitextendsfrom0to1¡1 N.

F1=[0:N1-1]/N1;

F2=[0:N2-1]/N2;

F3=[0:N3-1]/N3;

Ploteachofthetransformsoneabovetheother.

subplot(3,1,1) subplot(3,1,2) subplot(3,1,3) 3

00.10.20.30.40.50.60.70.80.910

5 10 15 20

N = 64

00.10.20.30.40.50.60.70.80.910

5 10 15 20

N = 128

00.10.20.30.40.50.60.70.80.910

5 10 15 20

N = 256

Figure2:FFTofacosineforN=64,128,and256

repetitionsofthefundamentalperiod. n=[0:29]; x1=cos(2*pi*n/10);%3periods x2=[x1x1];%6periods x3=[x1x1x1];%9periods

N=2048;

X1=abs(fft(x1,N));

X2=abs(fft(x2,N));

X3=abs(fft(x3,N));

F=[0:N-1]/N;

subplot(3,1,1) subplot(3,1,2) subplot(3,1,3) 4quotesdbs_dbs2.pdfusesText_3