Please, Write so that I can recognize.
t 7 1 -1 8 (a) 00 T
Homework Answers
First the Fourier transfer is found and then the frequency response rule is used.
Add Answer to:
Please, Write so that I can recognize. 4.18 An LTI system has the impulse response sin(2mt)...
4. LTI Systems and Erponential Response. (12 pts) (a) (2 pts) Suppose an LTI system has...
4. LTI Systems and Erponential Response. (12 pts) (a) (2 pts) Suppose an LTI system has input-output relationship y(t) 2r(t+3). What is the transfer function H(jw) of the given system. Show that H(jw)2. Hint: H(jw(tejdt (b) (5 pts) Suppose an LTI system has input-output relationship y(t)2r(t+3) as Problem 4-(a). Find the output y(t) using the complex exponential response method as discussed in lecture for the input r(t) = ej2t + 2 cos2(t). Hint: cos2(0) 1 (20 cos(26) an d 1-ejot...
Problem 1: Let the impulse response of an LTI system be given by 0 t< h(t)...
Problem 1: Let the impulse response of an LTI system be given by 0 t< h(t) = 〉 1 0 < t < 1 0 t>1 Find the output y(t) of this system if the input is given by a) x(t) = 1 + cos(2nt) b) x(t)-cos(Tt) c) x(t) sin (t )l d) x(t) = 1 0 < t < 10 0 t 10 e) x(t) = δ(t-2)-5(t-4) f) a(t)-etu(t) Problem 2: For the same LTI system in Problem 1,...
6.) In part (a) of the figure below, h(t) is the impulse response of a LTI...
6.) In part (a) of the figure below, h(t) is the impulse response of a LTI system with input g(t) x(t)w(t), and input x(t) has FT X(ao) shown in part (b) of the figure. The circled "X" means multiplication X(0) g(t) (X) (X УС) h(t) 1 w(t) cos(5nt) л (a) b) Sketch the FT G(0) of g(t) and the FT Y(o) of y(t for the following cases: cos(5nt) and h(t)= Sin(6m) a) w(t) sin(5z) b) w() cos(5tt) and h(t) =
Consider the LTI system with input ??(??) = ?? ?????(??) and the impulse response ?(??) =...
Consider the LTI system with input ??(??) = ?? ?????(??) and the
impulse response ?(??) = ?? ?2????(??). A. (3 points) Determine
??(??) and ??(??) and the ROCs B. (3 points) Using the
convolutional property of the Laplace transform, determine ??(??),
the Laplace transform of the output, ??(??) C. (3 points) From the
answer of part B, find ??(??)
9 points) Consider the LTI system with input x(t)eu(t) and the impulse response h(t)-e-2u(t) A. 3 points) Determine X(s) and H(s)...
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) -...
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) - et u(t). (a) What is the frequency response H (w) of this system? (b) Find and sketch H(w). (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = S(t – 2). (This is a delay of 2.) (a) What is the frequency response H (w) of this...
Problem 6 (20 pts) Suppose that the impulse response of a causal LTI system has a...
Problem 6 (20 pts) Suppose that the impulse response of a causal LTI system has a Laplace transform which is given by 5+1 H(3) and that the input to this system is x(t) = ell! $+ 25 +2 a) Determine the Laplace transform of the output y(t), along with its associated region of convergence. (12 pts) b) Determine the output y(t). (8 pts)
Problem 2 Consider a continuous-time LTI system whose frequency response is given by 2 sin(40 (a)...
Problem 2 Consider a continuous-time LTI system whose frequency response is given by 2 sin(40 (a) Find the impulse response, h(t) of the system (b) Determine the outputy() =x(t)*h(t) of the system given an input x(f)--1, ț < 8 4 otherwise 0,
3.21. An LTI system has the impulse response h()-u(t+7)-u(t-8) (a) Determine whether this system is causal...
3.21. An LTI system has the impulse response h()-u(t+7)-u(t-8) (a) Determine whether this system is causal (b) Determine whether this system is stable. (c) Find the system response to the input x(f) 8(t-2)-28(t+ 2)
Please respond as soon as possible, thank you. An LTI system has the impulse response h(T) = 1 for 0 <T<T and is...
Please respond as soon as possible, thank you.
An LTI system has the impulse response h(T) = 1 for 0 <T<T and is zero otherwise. If continuous-time white noise with ACF ru(T) = (No/2)8(T) is input to the system, what is the PSD of the output random process? Sketch the PSD.
(Frequency response of CT LTI systems): You want to design a system whose unit impulse response has the form:
(Frequency response of CT LTI systems): You want to design a system whose unit impulse response has the form: h(t) =u(t) - u(t - N). Find all possible values of N >0 such that when the input signal x(t) = cos(πt), the output signal y(t) = 0 for all t.
4. LTI Systems and Erponential Response. (12 pts) (a) (2 pts) Suppose an LTI system has input-output relationship y(t) 2r(t+3). What is the transfer function H(jw) of the given system. Show that H(jw)2. Hint: H(jw(tejdt (b) (5 pts) Suppose an LTI system has input-output relationship y(t)2r(t+3) as Problem 4-(a). Find the output y(t) using the complex exponential response method as discussed in lecture for the input r(t) = ej2t + 2 cos2(t). Hint: cos2(0) 1 (20 cos(26) an d 1-ejot...
Problem 1: Let the impulse response of an LTI system be given by 0 t< h(t) = 〉 1 0 < t < 1 0 t>1 Find the output y(t) of this system if the input is given by a) x(t) = 1 + cos(2nt) b) x(t)-cos(Tt) c) x(t) sin (t )l d) x(t) = 1 0 < t < 10 0 t 10 e) x(t) = δ(t-2)-5(t-4) f) a(t)-etu(t) Problem 2: For the same LTI system in Problem 1,...
6.) In part (a) of the figure below, h(t) is the impulse response of a LTI system with input g(t) x(t)w(t), and input x(t) has FT X(ao) shown in part (b) of the figure. The circled "X" means multiplication X(0) g(t) (X) (X УС) h(t) 1 w(t) cos(5nt) л (a) b) Sketch the FT G(0) of g(t) and the FT Y(o) of y(t for the following cases: cos(5nt) and h(t)= Sin(6m) a) w(t) sin(5z) b) w() cos(5tt) and h(t) =
Consider the LTI system with input ??(??) = ?? ?????(??) and the
impulse response ?(??) = ?? ?2????(??). A. (3 points) Determine
??(??) and ??(??) and the ROCs B. (3 points) Using the
convolutional property of the Laplace transform, determine ??(??),
the Laplace transform of the output, ??(??) C. (3 points) From the
answer of part B, find ??(??)
9 points) Consider the LTI system with input x(t)eu(t) and the impulse response h(t)-e-2u(t) A. 3 points) Determine X(s) and H(s)...
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) - et u(t). (a) What is the frequency response H (w) of this system? (b) Find and sketch H(w). (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = S(t – 2). (This is a delay of 2.) (a) What is the frequency response H (w) of this...
Problem 6 (20 pts) Suppose that the impulse response of a causal LTI system has a Laplace transform which is given by 5+1 H(3) and that the input to this system is x(t) = ell! $+ 25 +2 a) Determine the Laplace transform of the output y(t), along with its associated region of convergence. (12 pts) b) Determine the output y(t). (8 pts)
Problem 2 Consider a continuous-time LTI system whose frequency response is given by 2 sin(40 (a) Find the impulse response, h(t) of the system (b) Determine the outputy() =x(t)*h(t) of the system given an input x(f)--1, ț < 8 4 otherwise 0,
3.21. An LTI system has the impulse response h()-u(t+7)-u(t-8) (a) Determine whether this system is causal (b) Determine whether this system is stable. (c) Find the system response to the input x(f) 8(t-2)-28(t+ 2)
Please respond as soon as possible, thank you.
An LTI system has the impulse response h(T) = 1 for 0 <T<T and is zero otherwise. If continuous-time white noise with ACF ru(T) = (No/2)8(T) is input to the system, what is the PSD of the output random process? Sketch the PSD.
Most questions answered within 3 hours.
-
John needs 40 Eternal Light flashlights. Each Eternal Light
flashlight requires 3 bulbs, and each bulb...
asked 2 seconds ago -
1) If Nominal GDP is $16,000 billion and the GDP deflator is 50,
then Real GDP...
asked 6 minutes ago -
D. A student completed 20 courses in the School of Arts and
Sciences. Her grades in...
asked 1 hour ago -
teo
pucks moving on a frictionless air table are about to collide. the
1.5 kg puck...
asked 1 hour ago -
Problem #1
The area between Z = 0 and Z = 2.50
The area between Z...
asked 3 hours ago -
1. What is the meaning of the term communication style?
2. What are the benefits to...
asked 2 hours ago -
9.) You are buying a car that cost $26,500. You make payments of
$412 each month...
asked 3 hours ago -
. Suppose a discrete random variable has probability
distribution
P(x) = .2 if x = 0...
asked 4 hours ago -
Under the influence of its drive force, a snowmobile is moving
at a constant velocity along...
asked 5 hours ago -
Why do organizations decline? What steps can top
management take to halt, decline, and restore organizational...
asked 4 hours ago -
What mechanisms Drive speciation??
(I.e. what was Dawins theory on the orgin of species, and how...
asked 6 hours ago -
The manager at a car assembly plant believes that the mean
assembly time for a car...
asked 7 hours ago