Prove the formulas in Proposition 9.60 for the norms of the mother and daughter wavelets. Proposition 9.60.
Question:
Prove the formulas in Proposition 9.60 for the norms of the mother and daughter wavelets.
Transcribed Image Text:
Proposition 9.60. All integer translates (x - k), for k € Z of the Daubechies scaling function, and all wavelets wj,k(x) = w(2¹ x − k), j ≥ 0, are mutually orthogonal functions with respect to the L² inner product. Moreover, ||||² = 1, while || wj,k ||² = 2−³.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
To prove the formulas in Proposition 960 we will use the following properties of the Daubechies wave...View the full answer
Answered By
Churchil Mino
I have been a tutor for 2 years and have experience working with students of all ages and abilities. I am comfortable working with students one-on-one or in small groups, and am able to adapt my teaching style to meet the needs of each individual. I am patient and supportive, and my goal is to help my students succeed.
I have a strong background in math and science, and have tutored students in these subjects at all levels, from elementary school to college. I have also helped students prepare for standardized tests such as the SAT and ACT. In addition to academic tutoring, I have also worked as a swim coach and a camp counselor, and have experience working with children with special needs.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Prove that the following formulas define norms on R2: (a) ||v|| = 221 + 3v22 (b) ||v|| = 2v21] - v1v2 + 2v22 (c) ||v|| =2|v1| + |v2| (d) ||v|| = max{ 2|v1|, |v2| } (e) ||v|| = max{ |v1, - v2|, |v1 +...
-
The graph shows the heights of mothers and daughters. a. As the data are graphed, which is the independent variable and which the dependent variable? b. From the graph, approximate the predicted...
-
Prove Proposition 8.43. Proposition 8.43 If U1 and U2 are n n unitary matrices, so is their product U1U2.
-
Use the information in Figure to answer the following questions: a. What is the six-month forward rate for the Japanese yen in yen per U.S. dollar? Is the yen selling at a premium or a discount?...
-
Pexly Industries purchased a copier system with a cost of $ 62,000 and a salvage value estimated at $ 2,000. It was expected that the copier would last four years, over which time it would produce...
-
Friendly's Quick Loans, Inc., offers you "five for four, or I knock on your door." This means you get $4 today and repay $5 when you get your paycheck in one week (or else). What's the effective...
-
The 2014-T6 aluminum rod \(B C\) has a diameter of 2 in. If it is pin connected at its ends, determine the maximum allowable load \(P\) that can be applied to the frame. Use a factor of safety with...
-
Jackson Ski Haus had the following statements prepared as of December 31, 2014. Additional information: 1. Dividends in the amount of $20,000 were declared and paid during 2014. 2. Depreciation...
-
You wish to do a series of maintenance plans to automate the maintenance of your SQL server. What tasks should you schedule daily at minimum? List 4
-
3 Why would market analysis and strategic planning be important to Blackbeard?
-
Let Find the spectral radius of the Jacobi and GaussSeidel iteration matrices, and discuss their convergence. A = 4 -4 24 3 3 2 2 31 1
-
Describe the final state of a Markov chain with symmetric transition matrix T = T T .
-
When describing sets of numbers using interval notation, when do you use a parenthesis and when do you use a bracket?
-
What are the four types of approaches to project management? Explain briefly and draft a diagram.
-
Engineers are developing a miniaturized robotic capsule for exploration of a human gastrointestinal tract. One novel solution uses motor-driven legs. The engineers' best design worked for a few...
-
In each of the following situations, should your value be near the average or an outlier? If an outlier, should it be too large or too small? (a) Income on your starting job (b) Your score on the...
-
Karen Simmons awoke early one cold winter morning because she had almost 70 miles to drive to begin her day as a pharmaceutical sales representative with Health Sense Pharmaceuticals. Karen knew the...
-
For ceiling fans to rotate effectively, the bending angle of the individual paddles of the fan must remain between tight limits. From each hour's production, 25 fans are selected and the angle is...
-
In your own words, describe what is shown in figure 15.22.
-
Sundial Technologies produces and sells customized network systems in New Brunswick. The company offers a 60-day, all software and labor-and an extra 90-day, parts-only- warranty on all of its...
-
Find the minimum value of the quadratic function p(x .........x") for n = 2 ,3 and 4 Xi Xi+1 + i=1 +-
-
Find the maximum value of the quadratic functions (a) -x2 + 3xv - 5y2 - x 4- 1. (b) - 2x2 4- 6xy - 3y2 + 4x - 3y.
-
Suppose K1 and K2 are positive definite n x n matrices. Suppose that, for i = 1. 2. The minimizer of Pi(x) = xTKix-2xTt, + ci x*. Is the minimizer of p1(x) - p2(x) + p;tx) given by x* = xj + x*2?...
-
In Section 13 from Northouse-Leadership Ethics is covered. Describe the importance of being an ethical leader and how an unethical leader can negatively affect an organization? Have you ever worked...
-
Can you Write a report about the information and instruction received from management in order to communicate about the new incident reporting management system Bounce2Fitness which will replace the...
-
This week we learned about assessing competition. Watch the video the History of the Cola Wars and answer the following questions. Using the frameworks from the text and the online lesson, why is...
Study smarter with the SolutionInn App