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A#11-1

Course: ECSE 2410, Spring 2007
School: RPI
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#11 Assignment ECSE-2410 Signals & Systems - Fall 2006 Due Tue 10/17/06 Exam #2 (Wed evening, 10/18/06) will cover Assignments #6 & #7 (Fourier Series), A#8 & #9 (Fourier Transforms), and A#10 (Basic Communication Systems). Some of the concepts in A#11 are similar to those above, so you should study them, also. Reading for Communication Read Systems. Sections 8.1, 8.2, 8.3 in Chapter 8....

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#11 Assignment ECSE-2410 Signals & Systems - Fall 2006 Due Tue 10/17/06 Exam #2 (Wed evening, 10/18/06) will cover Assignments #6 & #7 (Fourier Series), A#8 & #9 (Fourier Transforms), and A#10 (Basic Communication Systems). Some of the concepts in A#11 are similar to those above, so you should study them, also. Reading for Communication Read Systems. Sections 8.1, 8.2, 8.3 in Chapter 8. All the problems in this assignment are from the text. 1(10). Text 8.3 2(10). Text 8.4 3(10). Text 8.5 4(10). Text 8.6 5(30). Text 8.26 6(30). Text 8.27. For power calculations read Section 1.1.2, as well as the discussion from Equation 1.30 (p.17) thru Equation 1.32 (p.19).
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RPI - ECSE - 2410
Assignment #13 ECSE-2410 Signals & Systems - Fall 2006 Fri 10/27/06Read Section 6.5. Also feel free to use anything you know about Laplace transform to solve these problems, if it's appropriate. 1(10). Text 6.92(20). Text 6.153(10). Text 6.19 4
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
Interpretation in Frequency Domain Considerx(t ) = cos m t = 1 e jmt + 1 e - jmt => X ( ) = ( - m ) + ( + m ) 2 2X ( )0mOversampling ( s> 2 m )filter0msUndersampling ( s< 2 m )filter0m sPg. 10 in Note 17
RPI - ECSE - 2410
Assignment #20 ECSE-2410 Signals & Systems - Spring 2007 Tue 04/24/071(25). For the system X ( s )H (s)Y ( s)(A)(15). Calculate the step response when (a) H ( s ) = 1 (s + 10)(s + 1) ) (b) H ( s ) =(s + 9 ) (s + 10)(s + 1) )(c) H ( s ) =
RPI - ECSE - 2410
RPI - ECSE - 2410
Assignment #10 ECSE-2410 Signals & Systems - Spring 2007 1.(20 pts) Find the Fourier transform of Due Fri 03/02/07x(t )truncated cosine wave1-12t2.(15 pts) Suppose y (t ) = x (t ) cos( 2t ) , where x(t ) has the Fourier transform shown
RPI - ECSE - 2410
Assignment #15 ECSE-2410 Signals & Systems - Spring 2007 Fri 03/30/071(28). Find the Laplace transform of 1 1< t < 3 (a)(8) x a (t) = . 0 else (b)(10) xb (t) = e-(t - 2) u(t - 3) . (c)(10) xc (t) = 5 e-2 t cos( t + 45 ) u(t) .2(30). Find the
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
100 Midterm Average S&S Spr07 Ave=64 90 80 70 60 50 40 30 20 10 0 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94
RPI - ECSE - 2410
RPI - ECSE - 2410
Assignment #12 p.1 ECSE-2410 Signals & Systems - Fall 2006 Fri 10/24/061(5). Consider the signal x(t)=3cos( t)+2cos(3 t)+cos(8 t). Find the Nyquist sampling frequency, s, which guarantees that x(t) can be recovered from its samples. 2(10). Find th
RPI - ECSE - 2410
Assignment #10 p.1 ECSE-2410 Signals & Systems - Fall 2006 1(10). Suppose we know the Fourier transform pair F x(t ) = 1 2Due Fri 10/13/06 e- t2 2 - = X ( ) = e 2 , called the 2Gaussian pulse. Use the duality property developed in c
RPI - ECSE - 2410
UIllinois - PHYS - 140
PHYS140 Spring 2008 General Information I. Lectures Tuesday and Thursday, 141 Loomis Laboratory of Physics (LLP)Lecture Section A1: Lecture Section A2: 12:30 1:45 pm 2:00 3:15 p.m. II. Course Web Site: http:/online.physics.u
RPI - ECSE - 2410
RPI - ECSE - 2410
Interpretation in Frequency Domain Considerx(t ) = cos m t = 1 e jmt + 1 e - jmt => X ( ) = ( - m ) + ( + m ) 2 2X ( )0mOversampling ( s> 2 m )filter0msUndersampling ( s< 2 m )filter0m sPg. 10 in Note 17
RPI - ECSE - 2410
RPI - ECSE - 2410
Assignment #9 ECSE-2410 Signals & Systems - Fall 2006 In all the problems below, use properties. No integrations of the defining equation. 1(15). Find the Fourier transform of x(t ) = p (t ) cos(t ) , where p (t ) = u (t ) - u (t - 2 ) . Due Fri 10/0
RPI - ECSE - 2410
100 S&S Final Exam F'06 Ave=64 9080706050403020100 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
Assignment #15 p.1 ECSE-2410 Signals & Systems - Fall 2006 1(20). Consider the RLC circuit below. + R x(t) L C y(t) + Fri 11/03/06The differential equation governing the input and output relationship is given by d2y dy LC 2 + RC + y = x dt dt a(5)
RPI - ECSE - 2410
RPI - ECSE - 2410
Assignment #18 ECSE-2410 Signals & Systems - Spring 2007 1(75). Given the system, D(s) + + + H2(s) H3(s) Y(s) Fri 04/13/07X(s)H1(s)where H 1 ( s) = K + K1 s , H 2 ( s ) =1 , and H 3 ( s ) = 1 . ( s + 1)( s + 2)The purpose of K is to provide
RPI - ECSE - 2410
Assignment #16 ECSE-2410 Signals & Systems - Spring 2007 Tue 04/3/071(30). Find the inverse Laplace transform of (a)(10). X a (s) = s+3 . Express your answer in the form A e- t cos( t + ) u(t) + Be - t u (t ) . 2 (s + 2) ( s + s + 1) s + 0.5 .
RPI - ECSE - 2410
Assignment #5 p.1 ECSE-2410 Signals & Systems - Spring 2007 Due Fri 02/02/071(20). Carry out the convolution, y (t ) = v (t ) w(t ) , of the signals shown, and sketch your result. Study the relationships between these examples to determine the ge
RPI - ECSE - 2410
Assignment #18 Solutions p.1 ECSE-2410 Signals & Systems - Fall 2006 1(15). The root locus below is for a system with the closed-loop transfer function Fri 11/17/06Y(s) K G(s) . The = X(s) 1 + K G(s) breakaway point is b = -4.44. Note: All the p
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
RIN 660355651 660387880 660355457 660375154 660387683 660375081 660370876 660389083 660374558 660301395 660387941 660337369 660310754 660387958 660329891 660373148 660276297 660358597 660334964 660434086 660347724 660389407 660370333 660387763 660548
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
Assignment #22 ECSE-2410 Signals & Systems - Spring 2007 1(14). Find X(z), the z-transform (in closed form) of the following repeating sequences: (a)(8). x[n] = {1, 0, -1, 2, 1, 0, -1, 2, 1, 0, -1, 2,.}. (b)(6). x[n] = { 0, 0, 1, 2, 3, 1, 2, 3, 1, 2,
RPI - ECSE - 2410
RPI - ECSE - 2410
Assignment #20 ECSE-2410 Signals & Systems - Fall 2006 Tue 11/21/061(20). This problem illustrates a practical scheme for finding transfer functions, if we know something about the order of the system. This meter is basically a DC motor! A spring-r
RPI - ECSE - 2410
RPI - ECSE - 2410
100 90 80 70 60 50 40 30 20 10 0 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 81 85 89 93 Exam#2 S&S Spr07 Ave=58
RPI - ECSE - 2410
Assignment #21 ECSE-2410 Signals & Systems - Spring 2007 Fri 04/27/071(10). The signal x(t)=cos(5 t) is sampled every 0.1 seconds, starting at t=0. Find X(z), the z-transform of the resulting sampled signal x[n]. Note that x[n]=0 for n<0. 2(15). a.
RPI - ECSE - 2410
In the Past: Average grade=C.Any Average grade < 55% most likely =F (Need to check each student individually).Any Average grade < 50% certainly =F.100 End of Lectures Grades S&S Spr07 Ave=65 9080706050403020100 1 4 7 10 13 16
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410
RPI - ECSE - 2410