{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

20105ee211A_1_homework4

# 20105ee211A_1_homework4 - C D 1 E F G H 2 I 3 k(b In...

This preview shows pages 1–2. Sign up to view the full content.

1 EE 211A Digital Image Processing I Fall Quarter, 2010 Handout 11 Instructor: John Villasenor Homework 4 Due: Thursday, 21 October 2010 Reading: Textbook pp. 20-31, 132-180. 1. For the 2 x 2 transform A and the image U 3 1 2 3 1 , 1 2 2 1 3 A U = = - calculate the transformed image V and the basis images. 2. (a) Consider a 2D real sequence ) , ( n m u of size 4 × 4 whose DFT ) , ( l k v has been determined. Suppose that these data were stored on computer, and that a careless colleague has accidentally erased ), , ( n m u as well as several of the elements of ). , ( l k v Nine of the 16 elements of ) , ( l k v were not erased and are indicated below by the letters A through I. These letters may in general represent complex numbers. Where possible, give the missing elements of ) , ( l k v in terms of the letters A through I. Where this is not possible, write a question mark. 0 1 2 3 l 0 A

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.

Unformatted text preview: C D 1 E F G H 2 I 3 k (b) In general, the transform ) , ( l k v of a real 2D sequence is complex. However, there are some elements of ) , ( l k v ( , = = l k for example) which will always be real. Assuming that ) , ( n m u is real and of size , N N × where N is even, give the values of k , l for which ) , ( l k v will always be real. 2 3. Find the 2D unitary DFT ) , ( l k v of the following matrices: a) = 1 1 ) , ( n m u b) ( , ) 4 1 1 1 1 u m n = c) 1 1 1 1 1 ( , ) 1 1 4 1 1 j j j j u m n j j j j-- -- = -- -- 4. Find the 2D unitary DCT ) , ( l k v of the matrices in problem 2 parts (a) and (b)....
View Full Document

{[ 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