solnsmid1_600_old

solnsmid1_600_old - ECE-600 Introduction to Digital Signal...

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: ECE-600 Introduction to Digital Signal Processing Wi11 Midterm #1 Feb. 4, 2011 MIDTERM #1 SOLUTIONS 1. The DTFT of y [ n ] = x [ n- d ] e jn can be derived as follows: Y ( e j ) = summationdisplay n = y [ n ] e jn (1) = summationdisplay n = x [ n- d ] e jn e jn (2) = summationdisplay n = x [ n- d ] e j ( ) n (3) = summationdisplay m = x [ m ] e j ( )( m + d ) via m = n- d (4) = e j ( ) d summationdisplay m = x [ m ] e j ( ) m (5) = e j ( ) d X ( e j ( ) ) . (6) Another approach is to realize that x [ n- d ] e jn is a d-sample delay of x [ n ] followed by a rad/sec modulation of the result. Delay alone would yield the intermediate signal e jd X ( e j ), after which -modulation yields e j ( ) d X ( e j ( ) )....
View Full Document

This note was uploaded on 10/29/2011 for the course ECE 600 taught by Professor Clymer,b during the Fall '08 term at Ohio State.

Page1 / 4

solnsmid1_600_old - ECE-600 Introduction to Digital Signal...

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