Homework_10

Homework_10 - 1 EE113 Homework 10 Problem 17.3 Let x ( n )...

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

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

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

Unformatted text preview: 1 EE113 Homework 10 Problem 17.3 Let x ( n ) = ( n + 2) ( n ) + ( n 2) . (a) Determine its DTFT. (b) Sample the DTFT to obtain the 6-point DFT of x ( n ) . (c) Obtain the same 6-point DFT using (17.20). (d) Obtain the same 6-point DFT using (17.21). Does aliasing in time occur? Problem 17.8 Find the inverse DFTs of the DFT sequences defined below over one period, k 5 : (a) X ( k ) = (1 , , 1 , , 1 , 0) . (b) Y ( k ) = e jk X ( k ) . (c) Y ( k ) = e- j 3 k X ( k ) . (d) Y ( k ) = sin ( 3 k ) X ( k ) . In each case, plot | x ( n ) | and x ( n ) . Problem 17.16 Determine the N-point DFT of the sequences (a) x ( n ) = sin(2 n ) cos 2 ( n ) . (b) x ( n ) = cos( n ) sin 2 ( n ) . Problem 17.21 Figure 17.22 shows a 4-point DFT. Give two sequences x ( n ) whose 4-point DFTs agree with the figure. Problem 18.11 Let x ( n ) = { 1 , 2 , 1 , 1 2 } ....
View Full Document

This note was uploaded on 01/24/2012 for the course EE 113 taught by Professor Walker during the Fall '08 term at UCLA.

Page1 / 4

Homework_10 - 1 EE113 Homework 10 Problem 17.3 Let x ( n )...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online