probset-three - EE533 Problem Set-3 1. Consider the...

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: EE533 Problem Set-3 1. Consider the length-9 sequence x ( ) = { 2 , 3 , (- 1) , ,- 4 , 3 , 1 , 2 , 4 } . Evaluate the following functions of X ( e j ) without computing the transform itself: (a) X ( e j ) (b) X ( e j ) (c) R - X ( e j ) d (d) Z - | X ( e j ) | 2 d (e) Z - dX ( e j ) d 2 d Determine the following: (a) Inverse-DTFT of X ( e- j ) (b) Inverse-DTFT of X (- e j ) 2. An LTI system with impulse response { h ( n ) } and frequency response H ( e j ) has the following properties: (a) the system is causal; (b) H ( e- j ) = H * ( e j ); (c) the DTFT of the sequence { h ( n + 1) } is real; (d) H ( e j ) = 0; (e) R - H ( e j ) d = 4 . From the above information, determine h ( ) completely. 3. Determine the Inverse-DTFT of (a) X ( e j ) = cos N , for an arbitrary integer N > 0. (b) Y ( e j ) = cos N ( / 2), for an arbitrary even integer N > 0....
View Full Document

Page1 / 2

probset-three - EE533 Problem Set-3 1. Consider the...

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