2025A1_7S

2025A1_7S - ordered Haar Wavelet Transform of a sample s =...

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MATH 2025 Spring 2007 Assignment 1 Due Wednesday, January 31, 2007 before the class Please show all work! 1. Plot and write a formula for the step function ˜ q corresponding to the sample in the following table (5 pts) j 0 1 2 3 r j 0 1 4 1 2 3 4 s j 5 7 3 1 2. Calculate the ordered Fast Haar Wavelet Transform for the data s = (5 , 7 , 3 , 1) . (5 pts) 3. Write the Haar vavelet transform from the problem 2 above as a combi- nation of the functions φ and ψ . (5 pts) 4. Assume that the
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Unformatted text preview: ordered Haar Wavelet Transform of a sample s = ( s ,s 1 ,s 2 ,s 3 ) produces the results a (2-2) = (6), c (2-2) = (1), and c (2-1) = (2 , 2) . (a) Explain how a (2-2) = 6 relates to the sample; (5 pts) (b) Explain how c (2-2) = 1 relates to the sample; (5 pts) (c) Explain how c (2-1) = 2 relates to the sample. (5 pts) (d) Find s and s 1 . (5 pts)...
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This note was uploaded on 11/23/2011 for the course MATH 2025 taught by Professor Staff during the Spring '08 term at LSU.

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