信号的时频分析-4

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* Jalal Fadili and Levent Sendur
Literature
EEGLAB: an open source toolbox
for analysis of single-trial EEG dynamics including independent component analysis
Denoising Using Matlab
Choose thresholding method Choose noise type
Choose thresholds
Hit De-noise
Denosing Using Matlab
Discontinuity Detection
(microdisc.mat)
Wavelets and fMRI data analysis
• Resampling or “wavestrapping” * Michael Breakspear • Time series modeling and estimation * Voichita Maxim
• Hypothesis testing
“Time-Frequency Analysis” Applications Seminar
2011.5.5
Applications of Wavelets
Compression De-noising Feature Extraction
Discontinuity Detection
ERSP/ITC/ERPCOH
Distribution Estimation Data analysis

Biological data Financial data ……
Compression
DWT is commonly used for compression, since most DWT are very small, can be zeroed-out!
Journal of Neuroscience Methods 134
(2004) 9–21 Arnaud Delorme, Scott Makeig 1173
ERSP
EEGLAB uses either the short-time Fourier transform, a sinusoidal wavelet (short-time DFT) transform, or a Slepian multitaper decomposition (Thompson, 1982) that provides a specified time and frequency resolution.
Application Overview
Wavelet Networks Real time learning of unknown functions Learning from sparse data Turbulence Analysis Analysis of turbulent flow of low viscosity fluids flowing at high speeds Topographic Data Analysis Analysis of geo-topographic data for reconnaissance / object identification Fractals Daubechies wavelets: Perfect fit for analyzing fractals Financial Analysis Time series analysis for stock market predictions
来自百度文库
ITC
ERCOH
EEGLAB function crossf() computes
event-related coherence (ERCOH) between two channel or component activities in sets of trials to determine the degree of synchronization between the two activity measures.
Discontinuity Detection with CWT
(microdisc.mat)
Application Overview
Data Compression Wavelet Shrinkage Denoising Source and Channel Coding Biomedical Engineering EEG, ECG, EMG, etc analysis MRI Nondestructive Evaluation Ultrasonic data analysis for nuclear power plant pipe inspections Eddy current analysis for gas pipeline inspections Study of Distant Universes Galaxies form hierarchical structures at different scales
Compression
Compression
ECG- Compression
Denoising Implementation in Matlab
First, analyze the signal with appropriate wavelets
Hit Denoise
(Noisy Doppler)
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