discrete time fourier transform tutorial pdf
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
... Trong miền tần số: phương pháp Fourier Transform.
- Trong miền thời gian và tần số: STFT( Short Time Fourier Transform) .
2.4.1. Phương pháp Fourier:
2.4.1.1. Biến đổi Fourier:
Cho một hàm f(t) ... triển chuỗi Fourier của F(t)
() ()
=
=
k
tjk
ekFtf
0
(2.18)
vi
() ()
=
2
2
0
1
T
T
tjk
dtetf
T
kF
ã Phân tích liên tục:
PDF created with pdfFactory Pro trial version www.pdffactory.com
... kết thúc của sự
kiện thì Fourier không phát hiện được.
2.4.2. Phương pháp STFT:
Để đạt được một biến đổi Fourier cục bộ, chúng ta có thể định nghĩa một biến đổi
Fourier cửa sổ. Tín hiệu đầu...
- 11
- 1.5K
- 5
Discrete Time Systems Part 1 pdf
Ngày tải lên :
20/06/2014, 01:20
... Filtering for Discrete Time Uncertain Systems 93
Rodrigo Souto, João Ishihara and Geovany Borges
Discrete- Time Fixed Control 109
Stochastic Optimal Tracking with Preview
for Linear Discrete Time Markovian ... to x
qj
(k);in
10
Discrete Time Systems
Part 1
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Part 2
Chapter 7
Chapter 8
Preface IX
Discrete- Time Filtering 1
Real -time Recursive State ... x
n
q
(j)) (10)
8
Discrete Time Systems
X
Preface
We think that the contribution in the book, which does not have the intention to be
all-embracing, enlarges the fi eld of the Discrete- Time Systems...
- 30
- 500
- 1
Discrete Time Systems Part 10 pdf
Ngày tải lên :
20/06/2014, 01:20
... K
p
≥ 0 (67)
2
h
I
> K
∗
v
≥ 0, (68)
268
Discrete Time Systems
16
Stability Criterion and
Stabilization of Linear Discrete- time
System with Multiple Time Varying Delay
Xie Wei
College of ...
stability have been developed for linear discrete- time systems with time varying delay in the
state. In these papers above the time- varying delay of discrete systems is assumed to be
unique ... for
M
is
M
= diag(60, 60, 60, 5, 10, 10), (85)
274
Discrete Time Systems
0 1 2 3 4 5 421 422 423 424 1029 1030 1031 1032
time (s) time (s) time (s)
f
V
(N)
f
H
(N)
t
A’
t
A’
t
B’
t
B’
-80
-40
0
40
80
-75
-40
0
40
75
Fig....
- 30
- 300
- 0
The Discrete Fourier Transform
Ngày tải lên :
13/09/2012, 09:49
... decomposed.
Chapter 8- The Discrete Fourier Transform 145
Type of Transform Example Signal
Fourier Transform
Fourier Series
Discrete Time Fourier Transform
Discrete Fourier Transform
signals that ... term: transform, is extensively used in Digital Signal
Processing, such as: Fourier transform, Laplace transform, Z transform,
Hilbert transform, Discrete Cosine transform, etc. Just what is a transform?
To ... repeat themselves in a periodic fashion. This type of
Fourier transform is called the Discrete Time Fourier Transform.
Periodic -Discrete
These are discrete signals that repeat themselves in a periodic...
- 28
- 677
- 0
Real-Time Digital Signal Processing - Chapter 7: Fast Fourier Transform and Its Applications
Ngày tải lên :
28/10/2013, 05:15
... Circular Convolution
The Fourier transform, the Laplace transform, and the z -transform of the linear con-
volution of two time functions are simply the products of the transforms of the
individual ... obtain
Xzj
ze
j2pk=N
I
nÀI
xnz
Àn
ze
j2pk=N
I
nÀI
xne
Àj2pk=Nn
: 7:1:24
This is identical to evaluating the discrete- time Fourier transform X! at the N equally
spaced frequencies !
k
2pk=N, k 0, 1, , N À 1. If ... frequencies
f
k
kf
s
N
, k 0, 1, , N À 1: 7:3:1
322
FAST FOURIER TRANSFORM AND ITS APPLICATIONS
DFT and z -transform
Consider a sequence x(n) having the z -transform X(z) with an ROC that includes
the unit...
- 47
- 634
- 0
Tài liệu Fast Fourier Transform part 4 pdf
Ngày tải lên :
21/01/2014, 18:20
... functionsused by the Fourier transform( a), sine transform( b), and cosine transform
(c), are plotted. The first five basis functions are shown in eachcase. (For the Fourier transform, the real
and ... the components of the
discrete Fourier transform satisfy
F
N−n
=(F
n
)* (12.3.1)
where the asterisk denotes complex conjugation. By the same token, the discrete
Fourier transform of a purely ... 1982,
Fast Transforms: Algorithms, Analyses, Applications
(New
York: Academic Press).
Brigham, E.O. 1974,
The Fast Fourier Transform
(Englewood Cliffs, NJ: Prentice-Hall). [1]
Bloomfield, P. 1976,
Fourier...
- 12
- 414
- 0
Tài liệu Fast Fourier Transform part 6 pdf
Ngày tải lên :
21/01/2014, 18:20
... 1974,
The Fast Fourier Transform
(Englewood Cliffs, NJ: Prentice-Hall).
Swartztrauber, P. N. 1986,
Mathematics of Computation
, vol. 47, pp. 323–346.
530
Chapter 12. Fast Fourier Transform
Sample ... REFERENCES AND FURTHER READING:
Nussbaumer, H.J. 1982,
Fast Fourier Transform and Convolution Algorithms
(New York: Springer-
Verlag).
12.5 Fourier Transforms of Real Data in Two
and Three Dimensions
Two-dimensional ... (12.3.5) implemented on the last transform index. The case of
i3=1 is coded separately, to account for the fact that speq is to be filled instead of
12.5 Fourier Transforms of Real Data in Two...
- 8
- 260
- 0
mathematics of the discrete fourier transform
Ngày tải lên :
31/03/2014, 15:21
... Warshofsky, and the Editors of Time- Life Books,
Sound and Hearing, Life Science Library, Time- Life Books, Alexandria, VA, 1965, p.
173.
DRAFT of “Mathematics of the Discrete Fourier Transform (DFT),” by ... again. Fortunately for us, all audio signals can be defined so
DRAFT of “Mathematics of the Discrete Fourier Transform (DFT),” by J.O.
Smith, CCRMA, Stanford, Winter 2002. The latest draft and linked ... even
(−1)
n/2
n!
θ
n
sin(θ)=
∞
n≥0
n odd
(−1)
(n−1)/2
n!
θ
n
DRAFT of “Mathematics of the Discrete Fourier Transform (DFT),” by J.O.
Smith, CCRMA, Stanford, Winter 2002. The latest draft and linked...
- 247
- 352
- 0
The discrete fourier transform
Ngày tải lên :
08/06/2014, 20:19
... ≤
E
x
E
y
.
Summary
We have now covered all the most important transforms:
continuous time: Laplace, Fourier, Fourier Series,
discrete time: Z, DTFT, DTFS, DFT/FFT
The first six are for pencil and ... version)
Time- limited signals
There is an important “special case” where the time- domain replicates do not overlap. That case is time- limited signals.
By convention, we say x[n] is time- limited ... the time- limited case). It is also possible to recover X(ω) directly from the
samples using the Dirichlet interpolation formula - see text.
Review FT family tree.
5.1.2
The discrete Fourier transform...
- 31
- 320
- 0
Fourier Transform Properties
Ngày tải lên :
13/09/2012, 09:49
... frequency
domain multiplexing.
The Discrete Time Fourier Transform
The Discrete Time Fourier Transform (DTFT) is the member of the Fourier
transform family that operates on aperiodic, discrete signals. The ... four members of the Fourier
transform family (Fourier transform, Fourier Series, DFT, and DTFT).
Figure 10-1 provides an example of how homogeneity is a property of the
Fourier transform. Figure ... properties of the Fourier Transform, how a mathematical change in one
domain results in a mathematical change in the other domain.
Linearity of the Fourier Transform
The Fourier Transform is linear,...
- 24
- 477
- 0