Homework_9

Homework_9 - 1 EE113 Homework 9 Problem 14.5 Consider the...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
1 EE113 Homework 9 Problem 14.5 Consider the following sequences: (a) x ( n ) = sin ( π 3 n ) n . (b) y ( n ) = e j π 4 · sin ( π 4 n ) n . (c) w ( n ) = e j π 4 n · sin ( π 6 n ) n . (d) z ( n ) = x ( n ) y ( n ) from parts (a) and (b). Find the DTFTs of the following variations: (a) x (2 n ) . (b) y (2 n ) . (c) w (3 n ) . (d) z (2 n ) . (e) cos( π 3 n ) x (2 n ) . (f) ( - 1) n y (2 n ) . (g) sin( π 4 n ) n y ( n ) . Problem 14.10 Let x ( n ) = cos p π 4 n P · sin ( π 8 ( n - 1) ) n - 1 Find the DTFTs of the following sequences: (a) x (4 n ) . (b) ( - 1) n 2 · x (3 n ) . (c) n 2 x (2 n ) . (d) x ( - n + 1) . (e) x ( - 3 n ) . (f) ( - 1) n 1 · x ( n + 2) · sin ( π 2 ( n - 1) ) . Problem 14.13 Let x ( n ) = sinc ( π 3 n ) . Plot the DTFT of y ( n ) = ( - 1) n x ( - n + 2) cos p π 6 n - π 3 P September 28, 2011 DRAFT
Background image of page 1

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

View Full DocumentRight Arrow Icon
2 Problem 14.25 Consider the sequence x ( n ) = 0 . 5 n u ( n ) . Evaluate the following quantities without Fnding X ( e ) : (a) X ( e j 0 ) . (b) X ( e ) . (c) 1 2 π i π π X ( e ) . (d) 1 2 π i π π | X ( e ) | 2 . Problem 15.17 Given the four pole-zero distributions shown in ±ig. 15.17, which ones correspond to low-pass, high-pass, band-pass, or band-stop Flters? Problem 15.25 ±ind the frequencies that are present in the sequences
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the 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 / 3

Homework_9 - 1 EE113 Homework 9 Problem 14.5 Consider the...

This preview shows document pages 1 - 3. Sign up to view the full document.

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