{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

32Wavelet(3)

# 32Wavelet(3) - 2(t 1 0-1-2-2-1 0 1 2 t second 2 w(t 1...

This preview shows pages 1–6. Sign up to view the full content.

-2 -1 0 1 2 -2 -1 0 1 2 t, second ) ( t φ -2 -1 0 1 2 -2 -1 0 1 2 t, second w(t) -10 -8 -6 -4 -2 0 2 4 6 8 10 -1 -0.5 0 0.5 1 f, Hz Im[W(f)] Figure 1. Haar scaling function and Haar wavelet with its Fourier transform

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
MAE 591 RANDOM DATA C. W. Lee Fig.2 Demonstration of Haar wavelet analysis 1 1 MATLAB > wavemenu
MAE 591 RANDOM DATA C. W. Lee Table 1. Properties of wavelets Family Haar 2 Daubechies Gaussian 3 Morlet 4 Order = D2= db1 5 N (db N = D2 N ) N Orthogonality Yes Yes No No Compact Support Yes Yes No No DWT/CWT O/O O/O X/O X/O Support Width 1 2 N -1 Infinite Effective [-5 5] Infinite Effective [-4 4] Filters Length 2 2 N Regularity Discontinuous ~0.2 N Symmetry/ Anti-symmetry Yes Far from N even/ N odd Yes # of vanishing moments for w(t) 1 N Remarks - Orthogonal and compactly supported wavelets. - Poor regularity - Crude wavelets (e.g. Mexican hat)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.
• Spring '09
• .
• probability density function, Dirac delta function, Wavelet, Discrete wavelet transform, Haar wavelet, C. W. Lee

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern