# h04 - 09:36 1 Homework#4 EECS 556 W11 Due Fri Feb 4 by...

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

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: January 26, 2011 09:36 1 Homework #4, EECS 556, W11. Due Fri. Feb. 4 , by 1:00PM Notes • The grader may not return this HW before Exam 1, so you may wish to keep a copy of your answers. Skills and Concepts • discrete-space signals and systems • filter design • DFS, DFT Problems 1. [10] Describe in a couple sentences two possible image processing projects that might interest you. 2. [10] This problem is an elementary preview of the principles underlying transform coding with truncation. A typical digital image x [ n,m ] has a spectrum that decays with increasing spatial frequency. As a concrete model, suppose that | X ( ω X ,ω Y ) | = braceleftBigg A e- α √ ω 2 X + ω 2 Y , ω 2 X + ω 2 Y ≤ π 2 , otherwise . Suppose that we truncate the tails of this spectrum by as follows: Y ( ω X ,ω Y ) = braceleftbigg X ( ω X ,ω Y ) , radicalbig ω 2 X + ω 2 Y ≤ π/ 10 , otherwise , and then reconstruct the signal y [ n,m ] by an inverse 2D DSFT. (a) [10] For α = 5 , evaluate the normalized root mean-squared (RMS) error radicalbigg P ∞ n =-∞ P ∞ m =-∞ | y [ n,m ]- x [ n,m ] | 2 P ∞ n =-∞ P ∞ m =-∞ | x [ n,m ] | 2 ....
View Full Document

## This note was uploaded on 04/19/2011 for the course EECS 556 taught by Professor Staff during the Winter '08 term at University of Michigan.

### Page1 / 2

h04 - 09:36 1 Homework#4 EECS 556 W11 Due Fri Feb 4 by...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online