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
Unformatted text preview: 6.003 Homework 2 Due at the beginning of recitation on Wednesday, February 17, 2010 . Problems 1. Blacks Equation than added. Y a. Determine the system functional H = X . This result is known as Blacks equation. b. Assume that F can be written as a ratio of polynomials in R . Let N F and D F represent the numerator and denominator polynomial, respectively. Similarly, assume that G can be written as a ratio of polynomials N G and D G . Express the system Y Y functional X in terms of N F , D F , N G , and D G . Can X be expressed as a ratio of polynomials in R ? c. Assume that F can be written as a ratio of polynomials in A . Let N F and D F represent the numerator and denominator polynomial, respectively. Similarly, assume that G can be written as a ratio of polynomials N G and D G . Express the system functional Y in terms of N F , D F , N G , and D G . Can Y be expressed as a ratio of X X polynomials in A ? 2. Characterizing block diagrams Consider the general form of a feedback problem: + F G X Y Notice the minus sign on the adder: it indicates that the lower input is subtracted rather Consider the system defined by the following block diagram: A A A + + 3 2 1 2 X Y a. Determine the system functional H = Y X ....
View
Full
Document
This note was uploaded on 12/14/2011 for the course EECS 6.003 taught by Professor Dennism.freeman during the Spring '11 term at MIT.
 Spring '11
 DennisM.Freeman

Click to edit the document details