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: 2.171 Problem Set 3 Assigned: Mon. Sept 25, 2006 Due: Wed. Oct 4 , 2006, in class Reading: F,P,&W Ch. 4, starred sections optional; F,P,&W 5.1, 5.2, 5.3 (Sections 5.4 and 5.5 are only of historical interest at this point in time; these techniques are largely obsolete in the present era.) Problem 1 FPW 4.19 Use Matlab to plot the discretetime Bode plot for this plant assuming a DC gain of unity. Also, use Matlab to plot the system unit step response. Problem 2 FPW 4.28 Problem 3 FPW 4.29 Problem 4 Consider a continuoustime signal y a ( t ) = sin t which is sampled at a rate of T seconds/sample to yield y ( k ) = y a ( kT ). a) Show that y ( k ) = sin k where = T . b) One can notice that although the sampled sinusoid is a pure harmonic at frequency , the time waveform appears to consist of beats as approaches . Some insight into this appearance may be gained as follows. Specifically, show that a discretetime signal y ( k ) = sin k may be written as y ( k ) = sin...
View Full
Document
 Fall '06
 DavidTrumper

Click to edit the document details