Reference no: EM131045651
The one-dimensional discrete cosine transform is similar to the two-dimensional transform, except that we drop the second variable ( j or y) and the second cosine factor. We also drop, from the inverse DCT only, the leading 1/ √ 2N coefficient. Implement this and its inverse for N = 8 (a spreadsheet will do, although a language supporting matrices might be better) and answer the following:
(a) If the input data is {1, 2, 3, 5, 5, 3, 2, 1}, which DCT coefficients are near 0?
(b) If the data is {1, 2, 3, 4, 5, 6, 7, 8}, how many DCT coefficients must we keep so that after the inverse DCT the values are all within 1% of their original values? 10%? Assume dropped DCT coefficients are replaced with 0s.
(c) Let si , for 1 ≤ i ≤ 8, be the input sequence consisting of a 1 in position i and 0 in position j, j
= i. Suppose we apply the DCT to si , zero the last three coefficients, and then apply the inverse DCT. Which i, 1 ≤ i ≤ 8, results in the smallest error in the ith place in the result? The largest error?
Schedule for a product development project
: Imagine your boss has told you that you must compress a schedule for a product development project. Name and describe at least three strategies you could use. What is the best way to present this to your boss?
|
Write a program to construct a dictionary of all words
: Assume that the dictionary itself can be stored by using, for each word, length(word) + 1 bytes.
|
Discussions about satisfying mutual interests
: Thinking a little deeper, what are some underlying needs and interests involved with these situations that can be explored? How can you convert these situations into discussions about satisfying mutual interests and achieving mutual gains?
|
What would be appropriate patient education and care for her
: What are the physiological/ biological actions of the condition GERD and what are the common treatments and their mechanism of action. What are the common medications that would be contraindicated in patients with Gastroesophageal reflux disease (..
|
Smallest error in the ith place in the result
: Let si , for 1 ≤ i ≤ 8, be the input sequence consisting of a 1 in position i and 0 in position j, j = i. Suppose we apply the DCT to si , zero the last three coefficients, and then apply the inverse DCT. Which i, 1 ≤ i ≤ 8, results in the smalles..
|
Question regarding the companies ordinance
: According to Companies Ordinance, 1984, __________ shall stand retired from office at the first annual general meeting of the company.
|
Fraudulent misrepresentation of the condition
: On January 2, 2011, seventeen-year-old Martin paid $2,000 for a used motorboat to use in his fishing business, after Dealer's fraudulent misrepresentation of the condition of the boat. Martin signed an installment contract for $1,500, and gave Dea..
|
Mission statement influence the technology management proces
: How is the mission statement linked to the overall strategy? How does the mission statement influence the technology management process?
|
How can a system of ethics be developed
: Essay prompt: How can a system of ethics be developed when knowledge itself is becoming socially constituted
|