discrete fourier transform example c
The Discrete Fourier Transform
Ngày tải lên :
13/09/2012, 09:49
... mathematical term: transform, is extensively used in Digital Signal
Processing, such as: Fourier transform, Laplace transform, Z transform,
Hilbert transform, Discrete Cosine transform, etc. Just ... Time Fourier Transform
Discrete Fourier Transform
signals that are continious and aperiodic
signals that are continious and periodic
signals that are discrete and aperiodic
signals that are discrete ... amplitude is changed
depending on the shape of the waveform being decomposed.
Chapter 8- The Discrete Fourier Transform 145
Type of Transform Example Signal
Fourier Transform
Fourier Series
Discrete...
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Fourier Transform Properties
Ngày tải lên :
13/09/2012, 09:49
... desired channel back to the DC to 6
MHz band for display on the screen. This scheme is called frequency
domain multiplexing.
The Discrete Time Fourier Transform
The Discrete Time Fourier Transform ... becomes
aperiodic, and the frequency domain becomes a continuous signal. This is
the DTFT, the Fourier transform that relates an aperiodic, discrete signal,
with a periodic, continuous frequency ... frequency domains. Continuous
signals will be used in this example, since modulation is usually carried out in
analog electronics. However, the whole procedure could be carried out in
discrete...
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Fourier Transform Pairs
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13/09/2012, 09:49
... sinc function.
A key trait of the sinc function is the location of the zero crossings. These
occur at frequencies where an integer number of the sinusoid's cycles fit
evenly into the rectangular ... cycles,
the result will be zero.
The sinc function is widely used in DSP because it is the Fourier transform pair
of a very simple waveform, the rectangular pulse. For example, the sinc
function ... that
correspond to each other in this manner are called Fourier transform pairs. Several common
pairs are presented in this chapter.
Delta Function Pairs
For discrete signals, the delta function...
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The Fast Fourier Transform
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13/09/2012, 09:50
... 16
frequency spectra (1 point each) are synthesized into 8 frequency spectra (2
points each). In the second stage, the 8 frequency spectra (2 points each) are
synthesized into 4 frequency spectra ... left-for-right (such as in the far right
column in Fig. 12-3).
225
CHAPTER
12
The Fast Fourier Transform
There are several ways to calculate the Discrete Fourier Transform (DFT), such as solving
simultaneous ... the FFT could write the program
from scratch.
In complex notation, the time and frequency domains each contain one signal
made up of N complex points. Each of these complex points is composed...
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The Complex Fourier Transform
Ngày tải lên :
13/09/2012, 10:20
... signal can be either continuous or discrete, and it can be either
periodic or aperiodic. This defines four types of Fourier transforms: the
Discrete Fourier Transform (discrete, periodic), the Discrete ... papers, technical articles, etc. Why are
complex techniques so popular with the professional DSP crowd?
The Scientist and Engineer's Guide to Digital Signal Processing578
Discrete Fourier Transform ... (discrete, periodic), the Discrete Time
Fourier Transform (discrete, aperiodic), the Fourier Series (continuous,
periodic), and the Fourier Transform (continuous, aperiodic). Don't try to
understand...
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Các phương pháp xử lý tín hiệu dùng bộ lọc, phương pháp Fourier Transform, STFT( Short Time Fourier Transform)
Ngày tải lên :
01/04/2013, 16:14
... gian con thô và không gian con chi tiết là
tr c giao với nhau. Nói c ch kh c, tín hiệu chi tiết là hiệu c a phiên bản thô và phiên bản
tinh c a tín hiệu . Bằng c ch áp dụng một c ch đệ quy c c ... (2.27)
C a sổ hẹp, phân giải thời gian tốt
C a sổ rộng phân giải tần số tốt
Như c điểm:
Độ chính x c giới hạn phụ thu c vào kích thư c hàm c a sổ. Chọn kích thư c cụ
thể cho c a sổ thời ... th c hiện bằng
c sở tr c chuẩn hay c p tr c giao đều c sơ đồ chung chỉ kh c ở hàm c sở tổng hợp tín
hiệu.
Th c hiện dựa trên biến đổi wavelet rời r c do phân tích rời r c đảm bảo mã hóa...
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Real-Time Digital Signal Processing - Chapter 7: Fast Fourier Transform and Its Applications
Ngày tải lên :
28/10/2013, 05:15
... to be scaled by 1/2. The conditional scaling
technique achieves much better accuracy since we may scale less often than the uncon-
ditional scaling method. However, this conditional scaling method ... practical
implementations on DSP chips, the architecture, instruction set, data structures, and
memory organizations of the processors are critical factors. Modern DSP chips such as
the TMS32 0C5 5x ... experiments.
2. Create the project exp7a using CCS. Add the command file exp7.cmd, the
functions epx7a .c, fft_a .c, andibit_rev .c, and the header file
icomplex.h from the software package into the project.
340
FAST...
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Tài liệu Table of Fourier Transform Pairs ppt
Ngày tải lên :
13/12/2013, 12:15
... Relationships
2
)cos(
jxjx
ee
x
-
+
=
j
ee
x
jxjx
2
)sin(
-
-
=
)sin()sin()cos()cos()cos( yxyxyx
m=±
)sin()cos()cos()sin()sin( yxyxyx
±=±
)(sin)(cos)2cos(
22
xxx
-=
)cos()sin(2)2sin( xxx
=
)2cos(1)(cos2
2
xx
+=
)2cos(1)(sin2
2
xx
-=
1)(sin)(cos
22
=+
xx
)cos()cos()cos()cos(2 ... Reference Tables
5
Useful Integrals
ò
dxx)cos(
)sin(x
ò
dxx)sin(
)cos(x
-
ò
dxxx )cos(
)sin()cos( xxx
+
ò
dxxx )sin(
)cos()sin( xxx
-
ò
dxxx )cos(
2
)sin()2()cos(2
2
xxxx
-+
ò
dxxx )sin(
2
)cos()2()sin(2
2
xxxx
... Trigonometric Fourier Series
()
å
¥
=
++=
1
000
)sin()cos()(
n
nn
ntbntaatf
ww
where
ò
òò
=
==
T
n
T
T
n
dtnttf
T
b
dtnttf
T
adttf
T
a
0
0
0
0
0
0
)sin()(
2
and, )cos()(
2
, )(
1
w
w
Ø Complex...
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Tài liệu Fast Fourier Transform part 1 doc
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21/01/2014, 18:20
... 498
Chapter 12. Fast Fourier Transform
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University ... trade@cup.cam.ac.uk (outside North America).
With two functions h(t) and g(t), and their corresponding Fourier transforms
H(f) and G(f), we can form two combinations of special interest. The convolution
of ... http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).
Chapter 12. Fast Fourier Transform
12.0 Introduction
A very large class of...
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Tài liệu Fast Fourier Transform part 2 ppt
Ngày tải lên :
21/01/2014, 18:20
... Fourier transforms can also, with slight modification,
calculate the inverse transforms.
502
Chapter 12. Fast Fourier Transform
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING ... the
required powers of W . So, the discrete Fourier transform appears to be an O(N
2
)
process. These appearances are deceiving! The discrete Fourier transform can,
in fact, be computed in O(N log
2
N) ... 12.1 Fourier Transform of Discretely Sampled Data
501
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University...
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Tài liệu Fast Fourier Transform part 3 docx
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21/01/2014, 18:20
... are
number theoretic transforms. These schemes replace floating-point arithmetic with
12.2 Fast Fourier Transform (FFT)
507
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... way which, along with the Danielson-Lanczos
510
Chapter 12. Fast Fourier Transform
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 ... 506
Chapter 12. Fast Fourier Transform
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University...
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Tài liệu Fast Fourier Transform part 4 pdf
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21/01/2014, 18:20
... that the Fourier transform is
520
Chapter 12. Fast Fourier Transform
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge ... from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. ... from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software....
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Tài liệu Fast Fourier Transform part 5 pptx
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21/01/2014, 18:20
... from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. ... from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. ... from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software....
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Tài liệu Fast Fourier Transform part 6 pdf
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21/01/2014, 18:20
... from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. ... from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. ... from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software....
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