discrete time fourier transform ppt
Các phương pháp xử lý tín hiệu dùng bộ lọc, phương pháp Fourier Transform, STFT( Short Time Fourier Transform)
... 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) ... 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 ... đổi Fourier của nó được định nghĩa: () () () tfedtetfF titj , ωω ω == ∫ ∞ ∞− − (2.14) Biến đổi Fourier ngược là: () () ∫ ∞ ∞− = ωω π ω deFtf tj 2 1 (2.15) Giả sử rằng biến đổi Fourier...
Ngày tải lên: 01/04/2013, 16:14
Báo cáo hóa học: " Research Article Fast Discrete Fourier Transform Computations Using the Reduced Adder Graph Technique" pptx
Ngày tải lên: 22/06/2014, 23:20
The Discrete Fourier Transform
... 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...
Ngày tải lên: 13/09/2012, 09:49
Real-Time Digital Signal Processing - Chapter 7: Fast Fourier Transform and Its Applications
... 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...
Ngày tải lên: 28/10/2013, 05:15
Tài liệu Table of Fourier Transform Pairs ppt
... waw w j++ t e a- 22 2 wa a + )2/( 22 s t e - 2/ 22 2 ws ps - e t etu a- )( wa j + 1 t tetu a- )( 2 )( 1 wa j + Ø 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 ... 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 Exponential Fourier Series ò å - ¥ -¥= == T ntj n n ntj n dtetf T FeFtf 0 0 )( 1 where, )( w w Signals &...
Ngày tải lên: 13/12/2013, 12:15
Tài liệu Fast Fourier Transform part 2 ppt
... showed that a discrete Fourier transform of length N can be rewritten as the sum of two discrete Fourier transforms, each of length N/2. One of the two is formed from the 12.1 Fourier Transform of Discretely ... generate 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 ... equation (12.1.6) is called the discrete Fourier transform of the N points h k . Let us denote it by H n , H n ≡ N−1 k=0 h k e 2πikn/N (12.1.7) The discrete Fourier transform maps N complex numbers...
Ngày tải lên: 21/01/2014, 18:20
Tài liệu Fast Fourier Transform part 5 pptx
... rows. If isign is input as −1, data is replaced by its inverse transform times the product of the lengths of all dimensions. 12.5 Fourier Transforms of Real Data in Two and Three Dimensions 525 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 ... two-dimensional grid 0 ≤ k 1 ≤ N 1 − 1, 0 ≤ k 2 ≤ N 2 − 1, we can define its two-dimensional discrete Fourier transform as a complex function H(n 1 ,n 2 ), defined over the same grid, H(n 1 ,n 2 )≡ N 2 −1 k 2 =0 N 1 −1 k 1 =0 exp(2πik 2 n 2 /N 2 )exp(2πik 1 n 1 /N 1 )...
Ngày tải lên: 21/01/2014, 18:20
Stochastic Finance An Introduction in Discrete Time ppt
... assets. Their initial prices at time t = 0 areknown, theirfuture pricesat timet = 1 aredescribed asrandom variables onsome probability space. Trading takes place at time t = 0. Already in this simple ... one-period model, these assets are priced at the initial time t = 0 and at the final time t = 1. We assume that the i th asset is available at time 0 for a price π i ≥ 0. The collection π = (π 0 ,π 1 , ... investor at time t = 0 will also depend on the information available at time 0. Thus, we assume that ξ = (ξ 0 ,ξ 1 , ,ξ d ) is an F 0 -measurable random vector. The asset prices observed at time t...
Ngày tải lên: 08/03/2014, 23:20
mathematics of the discrete fourier transform
... 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...
Ngày tải lên: 31/03/2014, 15:21
The discrete fourier transform
... ≤ 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...
Ngày tải lên: 08/06/2014, 20:19
báo cáo hóa học:" Fourier-transform infrared anisotropy in cross and parallel sections of tendon and articular cartilage" pptx
... citation purposes) 13. David-Vaudey E, Burghardt A, Keshari K, Brouchet A, Ries M, Majum- dar S: Fourier Transform Infrared Imaging of focal lesions in human osteoarthritic cartilage. Eur Cell Mater ... IW, Lewis EN, Spencer RG: Imaging of collagen and proteoglycan in cartilage sections using Fourier transform infrared spectral imaging. Arth Rheum 2001, 44:846-855. 17. Wetzl DL, Post GR, Lodder ... Y, Ramakrishnan N, Bidthanapally A: The Depth-dependent Anisotropy of Articular Cartilage by Fourier- Transform Infrared Imaging (FTIRI). Osteo Cart 2007, 15:780-788. 24. Ramakrishnan N, Xia Y,...
Ngày tải lên: 20/06/2014, 01:20
Discrete Time Systems Part 3 ppt
... matrices S t (j)= P t−j,t/t C t T −δ 0,j H t R t C t −1 ( j = 0, 1, ···, L − 1 ) , (82) 65 New Smoothers for Discrete- time Linear Stochastic Systems with Unknown Disturbances Discrete Time Systems 52 Chang, K. C.; Tian, Z. & Saha, R. ... filter reaches its steady state. In this case, the EC P is given by (13). Now, 74 Discrete Time Systems Discrete Time Systems 50 This completes the proof of Theorem 2. Proof of Theorem 3 a., ... matrix. 55 New Smoothers for Discrete- time Linear Stochastic Systems with Unknown Disturbances This chapter investigates the behavior of the Kalman filter for discrete- time linear systems whose output...
Ngày tải lên: 20/06/2014, 01:20
Discrete Time Systems Part 4 pptx
... as P k+1|k = P 11,k+1|k P 12,k+1|k P T 12,k +1|k P 22,k+1|k , (50) 101 Kalman Filtering for Discrete Time Uncertain Systems Kalman Filtering for Discrete Time Uncertain Systems 15 above its error variance prediction, i.e., ... concentration of a given medicine in his patient. Kalman Filtering for Discrete Time Uncertain Systems 6 12 Discrete Time Systems Using (74), we can simplify the expressions for Φ ∗ k , K ∗ k and ... E e (j) i,k 2 , (81) E e (j) i,k ≈ 1 N N ∑ j=1 e (j) i,k , (82) 104 Discrete Time Systems Kalman Filtering for Discrete Time Uncertain Systems 13 Step 0 (Initial conditions): x 0|−1 = x 0 and...
Ngày tải lên: 20/06/2014, 01:20
Discrete Time Systems Part 6 pptx
... the discrete time Riccati equation (7), then it also is a stabilizing solution to the discrete time Riccati inequality (6). According to the concept of stabilizing solution of discrete time ... will consider two discrete time mixed LQR/ H ∞ control problems. One is the discrete time state feedback mixed LQR/ H ∞ control problem, another is the non-fragile discrete time state feedback ... Feedback Control of Discrete- time LTI Systems: Scaling LMI Approaches Discrete Time Systems 140 Fig. 1. Responses of the system for nonlinear descriptor system in discrete time 7. References...
Ngày tải lên: 20/06/2014, 01:20
Discrete Time Systems Part 7 ppt
... a discrete time Riccati equation, we derive the simple approach to discrete time state feedback mixed LQR/ H ∞ control problem by combining the Lyapunov method for proving the discrete time ... for uncertain discrete- time systems with time- varying delays have given in the literature. In this paper, we consider the stabilization for a nominal discrete- time system with time- varying delay ... continuous -time delay systems. In addition, most results have focused on state feedback stabilization of discrete- time systems with time- varying delays. Only a few results on observer design of discrete- time...
Ngày tải lên: 20/06/2014, 01:20
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