... LEAST- SQUARE PREDICTION: BASIC DERIVATION As the starting point, we will study the simplified case— video containing little motion Though such class of video is apparently limited, it is sufficient for ... adaptation is still able to tune the predictor support to match the dominating direction within the local training window As the training window moves in space and time, the dominating direction ... panning, zooming, and jittering does the trained prediction coefficient vector More importantly, subpixel spatial interpolation is implicit in our formation and therefore LSP automatically achieves...
... gi zi , E gi zj and E gi as: 2 E gi zi ≈ gi (0)E zi − 2 E gi zj gii (0) E zi gi (0) +2 gii (0) E zi gi (0) 2 2 gi (0)E zj − gii (0)E zi E zj , i = j 2 2 ≈ gi (0)E zi − gii (0)E zi +4 gii ... square error mean square weight deviation mean weight deviation normalized least mean square probability distribution function proportionate normalized least mean square proportionate normalized ... deviations, is derived This joint conditional probability density function is then used to derive the steady-state joint probability density function for weight deviations under different gain allocation...
... provide adaptive estimation of unbiased linear predictors with the goal of obtaining a consistent estimate of an ISI single-input multiple-output (SIMO) channel To examine the effect of the additive ... symbols is used for training, while the adaptive algorithm operates in decision-directed mode for the remaining symbols We refer to this case as the decision-directed algorithm The number of training ... increase of gradient noise This degradation is observed when increasing the number of taps from K = L = M = (in Figure 6) to K = L = M = (in Figure 8) 6.2.1 Blind implementation In this section,...
... or multiuser MIMO systems [39–46] The MSE minimization is also related to capacity maximization in the multiuser scenario [44] if a suitable weighting is applied to different data streams In a ... estimation errors are investigated The relationship between the proposed solutions with existing algorithms is also disclosed xii Finally, we consider the AF MIMO relaying system with multiple ... for minimizing the total MSE is formulated in Section 2.3 In Section 2.4, an iterative algorithm is proposed to solve the optimization problem, while an approximated closed-form solution is given...
... dạng RIFF định dạng tệp để lưu trữ nhiều lo i liệu, chủ yếu liệu đa phương tiện âm video, dựa khô i kh i M i kh i có kiểu, biểu diễn bốn ký tự đa i diện Kiểu của khô i xuất hiện đầu tiên, ... vơ i chế độ giấu không i ̀u chỉnh bít 66 Hình 5.7 Biểu đồ biểu diễn SNR sau nhúng dữ liệu vơ i chế độ giấu có i ̀u chỉnh bít 67 Hình 5.8 Biểu đồ biểu diễn ... CA I TIẾN Hình 5.3 Biểu đồ biểu diễn SNR sau nhúng dữ liệu vơ i chế độ giấu có i ̀u chỉnh bít 65 Hình 5.4 Biểu đồ biểu diễn SNR sau nhúng dữ liệu vơ i chế độ giấu...
... Heidi is presiding over a suit to enjoin Mike’s Mortuary from opening for business in a residential neighborhood Heidi discovers a prior opinion by her fellow judge, Rick, stating that mortuaries ... the possibility of reasoning errors and the need for clarity, coordination, and decision-making simplicity justify a serious rule: “Bears in residential neighborhoods are nuisances.” Third, Edward’s ... on surrounding owners In this version of the example, Heidi has no basis for inferring a rule against noisy activities in residential neighborhoods She can posit a serious rule to this effect,...
... Chapter 16 Integration of Ordinary Differential Equations CITED REFERENCES AND FURTHER READING: Gear, C.W 1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, ... 16 Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright (C) 1988-1992 by Cambridge University ... stiff equations, relevant both to ordinary differential equations and also to partial differential equations (Chapter 19) Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING...
... behavior of a solution is not used in its propagation This is mathematically proper, since any point along the trajectory of an ordinary differential equation can serve as an initial point The ... Runge-Kutta method In each step the derivative is evaluated four times: once at the initial point, twice at trial midpoints, and once at a trial endpoint From these derivatives the final function value ... x3 x Figure 16.1.2 Midpoint method Second-order accuracy is obtained by using the initial derivative at each step to find a point halfway across the interval, then using the midpoint derivative...
... No; I did not think it necessary to eat any breakfast that morning The confounded pests of sparrows were making the square hideous with their idiotic "cheep, cheep." I never saw birds so persistently ... noisy, impudent, and disagreeable in all my life By this time, according to all traditions, I should have been standing in the office of the editor of the Sun That personage a tall, grave, white-haired ... them with intensity and heat At that moment an individual wearing an excess of whiskers, two hats, and a pestilential air slid into the seat beside me "Say, Willie," he muttered cajolingly, "could...
... wi should satisfy ¯ wi − w = −1 i si = λ i 1 T + ui ui −1 where we have also used the time-updates for { i , si } Introduce the quantities Pi = −1 , gi = i T ¯ λsi−1 + ui d (i) − ui w −1 i ui ... low-rank.] Given the factorization (21.59), it is easy to verify that two successive gain vectors satisfy the relation: gi+1 γ −1 (i + 1) = gi γ −1 (i) + i Mi ŁT i u (i + 1) ui ¯ This is identical ... entries we obtain ab = gi γ −1 (i) u (i + 1) ui T ¯ ¯ + i Si i T ¯ ¯T Again, by (21.55) for i Si i , (21.57) for the vector u (i + 1) ui definition of gi that 0 = λ−1 Pi−1 ui gi γ −1 (i) we...
... Bulirsch-Stoer method, discussed in this section, is the best known way to obtain high-accuracy solutions to ordinary differential equations with minimal computational effort (A possible exception, ... Extrapolation and the Bulirsch-Stoer Method The techniques described in this section are not for differential equations containing nonsmooth functions For example, you might have a differential equation ... §4.3, is exactly analogous to the transition in going from this section to the next one Here is the routine that implements the modified midpoint method, which will be used below #include "nrutil.h"...
... (outside North America) The quantities Wk can be calculated during the integration The optimal column index q is then defined by 728 Chapter 16 Integration of Ordinary Differential Equations During ... However, it is more complicated in that it must individually extrapolate each component of a vector of quantities Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) ... reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com...
... reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com ... require a stepsize h 1/1000 for the method to be stable (the reason for this is explained below) This is so even Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... equation, the possibility of a stiff set of equations arises Stiffness occurs in a problem where there are two or more very different scales of the independent variable on which the dependent variables...
... which is in fact the correct solution of the differential equation If we think of x as representing time, then the implicit method converges to the true equilibrium solution (i. e., the solution ... America) x 736 Chapter 16 Integration of Ordinary Differential Equations Of course, we give up accuracy in following the evolution towards equilibrium if we use large stepsizes, but we maintain ... trade@cup.cam.ac.uk (outside North America) where C is a positive definite matrix Explicit differencing gives 16.6 Stiff Sets of Equations 737 If h is not too big, only one iteration of Newton’s method...
... have two choices for solving the implicit equations: functional iteration to convergence, or Newton iteration However, it turns out that for stiff problems functional iteration will not even ... reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com ... weights, in a Simpson-like corrector step That is not a good idea Extrapolation is the least stable part of the procedure, and it is desirable to minimize its effect Therefore, the integration steps...
... initial conditions, or interval initial conditions with a sufficiently small width, over not very long time intervals If the initial condition set is not small enough and/or long time integration ... 36 + [−10−4, 10−4 ] We set an interval initial condition by 42 set interval initial condition and endpoint set initial condition and endpoint 21 42 ≡ interval eps = interval(−1, 1)/1 · 104 ; y[0] ... MacOSXWithFilib, MacOSXWithProfil, LinuxWithFilib, and LinuxWithProfil, located in vnodelp/config One can modify any of these files or create his own configuration file, where the variables described in...