DSP 5 The Discrete Fourier Transform DFT CESd
- Slides: 31
DSP 5 The Discrete Fourier Transform (DFT) ��������� ผศ. ดร. พระพล ยวภษตานนท ภาควชา วศวกรรมอเลกทรอนกส CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -1
���� DFT ? �������������������� DTFT ����� n ����� ���������� DTFT �������������� n ������������� Discrete Fourier Transform (DFT) ������� CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -3
���������� �� The Discrete Fourier Series (DFS( ����������� ��������� �������� ���� CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -4
��������� เราแทน Analysis (DFS) equation: Synthesis (IDFS) equation: CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -5
�� DFS �������������� = 4 (N=4 ������ k=0 k=1 k=2 k=3 CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -6
ตวอยาง วธทำ ������� (pulse) �������� DFS L N CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon dsp_5_1. eps DSP 5 -7
���� DFT ���������� … ��������� ����������� CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -8
������ L=5 ���� N=20 CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -9
������ L=5 ���� N=40 CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -10
ชวงพลสบวก CESd. SP L=5 และคาบเปน N=60 EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -11
ชวงพลสบวก CESd. SP L=7 และคาบเปน N=60 EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -12
����� • ชวงระยะพลสบวก สมพนธกบ คาบเวลาและขนาดของผลการแปลง DFS ดงน CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -13
DFS ��� z-transform ��� DTFT ����������� N=6 0 5 ���������������� … ����� CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -14
DFS ��� z-transform ��� DTFT (��� ( • ������ DFS ��� z-transform ������ DFS ��� DT CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -15
CTFT DTFT 1 ��� 0 CESd. SP 0 N-1 DFS DFT EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon 0 0 k N-1 k DSP 5 -17
��������� (zero padding( �������������� 4 ��� CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -18
����� DTFT ��� x(n( CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon dsp_5_6. eps DSP 5 -19
�� DFT ��� x(n( k=0 k=1 k=2 k=3 CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -20
N=4 CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon dsp_5_7. eps DSP 5 -21
N=8 CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon dsp_5_8. eps DSP 5 -22
N=16 CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon dsp_5_9. eps DSP 5 -23
N=32 CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon dsp_5_10. eps DSP 5 -24
������ x(n) n=0 ��� 9 CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -26
������� 40 ��� CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -27
�������� 90 ���������� CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -28
����� x(n) ����� 100 ������������ CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -29
������ x(n)=[ … 0 1 0[ … CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 5 -30
- Fourier transform
- Dft vs fft
- Application of discrete fourier transform
- Fourier
- Define discrete fourier transform
- Discrete time fourier transform
- 2d discrete fourier transform example
- Fftshift2
- Fourier transform formula
- Discrete fourier transform
- Discrete time fourier series
- Magnitude and phase response
- Fourier analysis of discrete time signals
- Transformée de fourier discrète
- Dft
- Wavelete
- Jana discret
- Fast discrete cosine transform
- Quantum fourier transform applications
- Synthesis equation fourier series
- Fourier transform spherical coordinates
- Inverse fourier transform
- Fourier transform notation
- Fourier cosine transform of f(x)=1
- System and signals
- Parseval's identity
- Series de fourier
- Stft
- Fourier transform properties solved examples
- Fourier transform
- Inverse of fourier transform
- Fourier transform table