This preview shows pages 1–3. 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 7 The following problems are intended to help you prepare for the upcoming exam. Please do them by Wednesday, October 28, 2009 . You need not submit your answers: they will NOT be graded. Solutions will be posted. Problems 1. Maximum gain For each of the following systems, find the frequency m for which the magnitude of the gain is greatest. a. 1 1 + s + s 2 b. s 1 + s + s 2 c. s 2 1 + s + s 2 Compare the m for these systems and explain qualitatively any similarities or differences. 2. Phase For a secondorder system with poles at 1 and 4 (and no zeros), find the frequency at which the phase is 90 , using any method except for the vector method. Then illustrate and confirm that result using the vector method. 3. Matches The following plots show polezero diagrams, impulse responses, Bode magnitude plots, and Bode angle plots for six causal CT LTI systems. Determine which corresponds to which and fill in the following table. h ( t ) Magnitude Angle PZ diagram 1: PZ diagram 2: PZ diagram 3: PZ diagram 4: PZ diagram 5: PZ diagram 6: 6.003 Homework 7 / Fall 2009 2 Polezero diagram 1 Polezero diagram 2...
View Full
Document
 Spring '11
 DennisM.Freeman

Click to edit the document details