Multiscale methods and analysis for highly oscillatory differential equations

... MULTISCALE METHODS AND ANALYSIS FOR HIGHLY OSCILLATORY DIFFERENTIAL EQUATIONS ZHAO XIAOFEI (B.Sc., Beijing Normal University, China) A THESIS SUBMITTED FOR THE DEGREE OF DOCTOR ... that z− (s) = z+ (s) for ≤ s ≤ τ in (2.4.2) from (2.4.5) and (2.4.10), and (2.4.16) and (2.4.18) for MDF and MDFA, respectively Thus the multiscale decompositions MDF and MDFA a...

Ngày tải lên: 09/09/2015, 11:23

... Proof By the continuation of solutions and the singularity of ᏷ at the point P0 , the set ᏷(P0 ) = ∅ Taking into account the nature of the vector field and the definition of the singularity of ... ,ρ0 ) ∈ E ⊆ ∂ω and the family ᐄ(P0 ) of all noncontinuable solutions of the initial value problem (2.6) By the continuity of the nonlinearity and the nature of the vector...

Ngày tải lên: 22/06/2014, 22:20

... CHAPTER 11 Probabilistic Approaches to ECG Segmentation and Feature Extraction 2 91 11. 1 11 .2 11 .3 11 .4 11 .5 11 .6 11 .7 11 .8 Introduction The Electrocardiogram 11 .2 .1 The ECG Waveform 11 .2.2 ECG Interval ... References 10 6 10 8 10 9 11 0 11 1 11 3 11 4 11 5 11 6 11 7 12 6 12 7 CHAPTER Linear Filtering Methods 13 5 5 .1 Introduction 5.2 Wiener Fil...

Ngày tải lên: 13/08/2014, 12:20

... Through 22 2 Omitted) Record Nn Vn Fn On Nv Vv Fv Ov No Vo Fo Q Se Q+P 100 101 103 105 106 108 22 3 22 8 23 0 23 1 23 2 23 3 23 4 Sum Gross Average 1901 1 521 1 725 21 17 123 6 1461 1736 122 5 1858 127 8 ... Chest, Vol 124 , No 6, 20 03, pp 20 57 20 63 P1: Shashi August 24 , 20 06 11:36 Chan-Horizon 2. 6 Summary [11] [ 12] [13] [14] [15] [16] [17] [18] [19] [20 ] [21 ] [22 ] [2...

Ngày tải lên: 13/08/2014, 12:20

... 24, 2006 11 :39 94 Chan-Horizon Azuaje˙Book ECG Statistics, Noise, Artifacts, and Missing Data [20] [21] [22] [ 23] [24] [25] [26] [27] [28] [29] [30 ] [31 ] [32 ] [33 ] [34 ] [35 ] [36 ] [37 ] Malik, M., ... Chan-Horizon Azuaje˙Book 3. 7 Heart Rate Variability 71 Figure 3. 8 Zero-mean unit-variance clean ECG with additive brown, pink, and white noise (also zero-mean and unit-va...

Ngày tải lên: 13/08/2014, 12:20

... [32] [33] [ 34] [35] [36] [37] [38] [39] [40 ] [41 ] [42 ] [43 ] [44 ] [45 ] [46 ] [47 ] [48 ] [49 ] [50] [51] Azuaje˙Book 129 Mateo, J., and P Laguna, “Improved Heart Rate Variability Signal Analysis from ... http://www.physionet.org/physiotools/ecgsyn/ P1: Shashi August 24, 2006 11 :42 Chan-Horizon Azuaje˙Book 4. 3 ECG Models Figure 4. 5 119 Spectral characteristics of (4. 9), the...

Ngày tải lên: 13/08/2014, 12:20

... Azuaje˙Book 147 Figure 5. 6 Raw ECG with 50 Hz mains noise, IIR 50 -Hz notch filtered ECG, 0. 1- to 4 5- Hz bandpass filtered ECG and bior3.3 wavelet filtered ECG The left-most arrow indicates the low ... where s > α i=1 si and α is some fraction ≈ 0. 95 i=1 i P1: Shashi August 30, 2006 11 :5 Chan-Horizon Azuaje˙Book 150 Linear Filtering Methods Figure 5. 7 SVD of 20 R-p...

Ngày tải lên: 13/08/2014, 12:20

... 20 06 11: 46 1 96 Chan-Horizon Azuaje˙Book Nonlinear Filtering Techniques [45] [ 46] [47] [48] [49] [50] [51] [52] [53] [54] [55] [ 56] [57] [58] [59] [60 ] [61 ] [62 ] [63 ] [64 ] [65 ] Lehnertz, K., and ... 20 06 11: 46 Chan-Horizon 6. 5 Model-Based Filtering Azuaje˙Book 187 Figure 6. 6 Demonstration of ICA noise reduction for γ = 10: (a) original noise-free ECG signal, x(t); (...

Ngày tải lên: 13/08/2014, 12:20

... r ( N) [%] [%] [%] 74 77 47 54 27 37 10 14 27 13 21 14 ⇑ 19 14 18 14 16 12 ST Segment Patterns, Human Annotator: r c ( N) r n ( N) r ( N) [%] [%] [%] 74 74 47 48 27 29 14 21 7 15 ⇑ 12 11 10 coefficients ... feature-vector time series in long-term ECGs for the purpose of ST segment analysis may involve following phases: Preprocessing; Derivation of time-domain and OFM transfo...

Ngày tải lên: 13/08/2014, 12:20

... [ 18] , Neural net, KLT [g] [a] [g] [a] [g] [a] [g] [a] [g] [a] [g] [a] [g] [a] ESC DB S E [%] Se +P 81 76 84 81 – – 84 .7 86 .1 79.2 81 .4 81 .5 82 .5 85 .2 86 .2 87 .1 87 .7 77.2 86 .3 81 .3 89 .2 85 .0 68. 7 ... Chan-Horizon Azuaje˙Book 284 ST Analysis The open-source tool EVAL ST [45] provides first (record-by-record) and secondorder (aggregate gross and average) per...

Ngày tải lên: 13/08/2014, 12:20

... 0.74E-2 1.46E-2 1.49E-2 1.47E-2 1.64E-2 1.72E-2 0.59E-2 Second-Order Cumulants 0.31E-2 0.60E-2 0 .94 E-2 0.67E-2 0.68E-2 0.52E-2 0.42E-2 Third-Order Cumulants 0.28E-2 1.03E-2 1.06E-2 0.85E-2 0.71E-2 ... 0.85E-2 0.71E-2 0.34E-2 0.40E-2 Fourth-Order Cumulants 0.24E-2 0.51E-2 0.55E-2 0.38E-2 0.54E-2 0.24E-2 0.60E-2 We have chosen the values of the cumulants of the second, third, and fourth ord...

Ngày tải lên: 13/08/2014, 12:20

... and 13.15 The SOM Toolbox automatically selects the map size for each data set In this example: 23 × 16 neurons for the ECG beat data set, and 28 × neurons for the sleep apnea data set The U-matrices ... Learning for ECG Classification healthcare environment, ECG data are commonly stored and analyzed using different formats and software tools Thus, there is a n...

Ngày tải lên: 13/08/2014, 12:20

... estimate of the background intensity, and therefore no further background correction was possible on these data Detection of differentially expressed genes 637 2.2 Normalisation of the data 2.2.1 Data ... Various comparisons of lists of differentially expressed genes found by the EADGENE teams were performed We focussed mainly on the comparison of...

Ngày tải lên: 14/08/2014, 13:22

... (99%) of the data from a negative control The gradual nature of these types of responses supports the use of regression analysis Because the effect may deviate from linearity in the range of perturbations ... cleaning up of the data, removal of systematic biases and drifts (a process often referred to as 'normalization'), and transformation to a format and sc...

Ngày tải lên: 14/08/2014, 17:22

... first standardized by subtracting the mean of the data set from each data point and then dividing by the standard deviation of the data set Standardized and raw data for the secondary optimization ... assay Secondary Nucleofection Optimization A second nucleofection optimization was performed using SE reagent, which allowed the further evaluation of Page of (page number no...

Ngày tải lên: 14/08/2014, 19:22