ECE111_2010SPRING_HW2_PROFSOLN_[0]

# ECE111_2010SPRING_HW2_PROFSOLN_[0] - The Cooper Union...

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

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

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

Unformatted text preview: The Cooper Union Department of Electrical Engineering ECE111 Signal Processing & Systems Analysis Problem Set II: Basic Systems Analysis Solution Key Spring 2010 1. A 5 MHz (real) sinewave is input to a 20 MHz A/D converter. (a) List all frequencies up to 60 MHz that would alias into 5 MHz if proper anti- aliasing &ltering is not used. The answer is & f input + mf s , yields: 5 ; 25 ; 45 MHz and 15 ; 35 ; 55 MHz (b) What is the proper cut-o¡ frequency for the anti-aliasing &lter? (Not for this speci&c signal; I mean what the A/D converter should employ, in general) f s = 2 = 10 MHz (c) Specify the input signal on the following frequency scales: analog radian fre- quency; normalized digital radian frequency; digital frequency normalized to the sampling rate; digital frequency normalized to the Nyquist bandwidth. 5 MHz , ! analog = 2 &f = 3 : 14 ¡ 10 7 rad= sec ; ! dig = 2 &f=f s = 2 &= 4 = &= 2 rad , f=f s = 5 = 20 = 1 = 4 , f=B Nyq = f= [ f s = 2] = 5 = 10 = 1 = 2 . The latter two are unitless....
View Full Document

## This note was uploaded on 02/27/2012 for the course CHEMISTRY/ CH/ECE/PH/ taught by Professor Faculty during the Spring '08 term at Cooper Union.

### Page1 / 5

ECE111_2010SPRING_HW2_PROFSOLN_[0] - The Cooper Union...

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

View Full Document
Ask a homework question - tutors are online