Final Exam 2004

1 20 consider a 1d signal f x with values f 025

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 0%) Consider a 1D signal f (x) with values f (0:25) = 3, f (0:5) = 2, f (0:75) = 2 and f (1:0) = 3. We can write this as f (x0 + 0 x) = 3, f (x0 + 1 x) = 2, f (x0 + 2 x) = 2 and f (x0 + 3 x) = 3, where both x0 = 0:25 and x = 0:25, or more simply denoted as f (0) = 3, f (1) = 2, f (2) = 2 and 1 f (3) = 3. Figure 1 shows the details. Similarly, frequencies, u, have values ? 2 , Figure 1: Discretized x values. ? 1 , 0 and 1 or u0 + 0 u, u0 + 1 u, u0 + 2 u and u0 + 3 u, where u0 = ?0:5 4 4 and u = 1 , or more simply denoted as u = 0; 1; 2 and 3. Compute the FT 4 of this signal, F (u), u = 0; ::; 3, with and without translation to 0 for f (x), x = 0; :::; 3, on the next two pages. Show all your work plus formulae used in your answers. CS630a In-Class Final Exam, Monday, December 13th, 4-6pm, 2004, MC320 3 (1a) (10%) FT without translation to 0. Show all formulae used and all work. CS630a In-Cl...
View Full Document

Ask a homework question - tutors are online