NewQuiz2sol

# NewQuiz2sol - 19 ECE 253a Digital Image Processing Pamela...

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

# 19 ECE 253a Digital Image Processing Pamela Cosman 11/19/10 QUIZ 2 SOLUTIONS 1. Huffman Coding: (a) One possible codeword assignment is: Symbol Codeword Length Codeword A 2 11 B 2 10 C 2 01 D 3 001 E 4 0001 F 5 00001 G 5 00000 (Other correct answers are also acceptable.) (b) The expected length of this code is: E ( l ) = 0 . 3 × 2 + 0 . 26 × 2 + 0 . 2 × 2 + 0 . 1 × 3 + 0 . 05 × 4 + 0 . 05 × 5 + 0 . 04 × 5 = 2 . 47 bits c)GBCEDA is encoded to the sequence of 000001001000100111 d)If we flip the first bit of the sequence, we get 10,0001,001,0001,001,11 and is decoded to BEDEDA, and we see three symbol errors. Grading Criteria: 3 points for part (a), 1 point for each of the other parts. 2. Interpolation: h 3 (0) = 3 4 , and h 3 ( - 1) = h 3 (1) = 1 8 . The reconstructed function sampled at 0 is: f R (0) = 3 4 × f I (0) + 1 8 × f I ( - 1) + 1 8 × f I (1) which is not always equal to f I (0), so h 3 ( x ) is an approximator. 3. Median Filtering: (a) A line of width 1 running in any direction will be completely eliminated by the 3x3 square filter and by the sparse filter. It will be left untouched by the other filter. Consider now 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.

{[ 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