Homework Answers
Add Answer to:
Suppose that for the LTI system depicted in the following figure (a), the impulse response and th...
1. Suppose that for the LTi system depicred in the following Sgure al the impulse response...
1. Suppose that for the LTi system depicred in the following Sgure al the impulse response and the transfer function ane given by The input signal it) is the square wave of Figure (bl, whare t is in seconds. Since the fundamental period isT?-2r, the fundamental frequency is ab-2s/To-1 rad/s and kas,-k. lbi (a) use the Table provided to find the exponential Fourier serias of she signal it The xpceential Fourier series for the signal may be givn by where...
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3...
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3t)+ 6 sin(3t) e. u(t) 1. Plot the impulse response for h(t) directly from the above equation by creating a time vector 2. Use the residue function to determine the transfer function H(s). Determine the locations of the poles and zeros of H(s) with the roots function, and plot them in the s-plane (x for poles, o for zeros). Use the freas function...
2. (12 points) Apply the result from part 1 to determine the response of a lowpass...
2. (12 points) Apply the result from part 1 to determine the response of a lowpass filter. a) (4 points) Determine the fundamental frequency and non-zero complex exponential Fourier series coeffi- cients of the periodic signal 2π f(t) =-2-5 sin(2nt) + 10 cos(Grt + "") and sketch the Fourier magnitude spectum D versus w and the Fourier phase spectrum LD versus w (b) (2 points) Use Parseval's theorem for the exponential Fourier series to find the power of the signal...
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...
A continuous-time LTI system has unit impulse response h(t). The Laplace transform of h(t), also called...
A continuous-time LTI system has unit impulse response h(t). The
Laplace transform of h(t), also called the “transfer function” of
the LTI system, is
.
For each of the following cases, determine the region of
convergence (ROC) for H(s) and the corresponding h(t), and
determine whether the Fourier transform of h(t) exists.
(a) The LTI system is causal but not stable.
(b) The LTI system is stable but not causal.
(c) The LTI system is neither stable nor causal
8...
3. Consider an LTI system with the impulse response h(t)e Find the Fourier series representation for...
3. Consider an LTI system with the impulse response h(t)e Find the Fourier series representation for the output y(t) for each of the inputs below: b ra(t) in Figure 2. Figure 2: a2(t)
Q1) Consider an LTI system with frequency response (u) given by (a) Find the impulse response h(0) for this system. [Hint: In case of polynomial over pohnomial frequency domain representation, we...
Q1) Consider an LTI system with frequency response (u) given by (a) Find the impulse response h(0) for this system. [Hint: In case of polynomial over pohnomial frequency domain representation, we analyce the denominator and use partial fraction expansion to write H() in the form Then we notice that each of these fraction terms is the Fourier of an exponentiol multiplied by a unit step as per the Table J (b) What is the output y(t) from the system if...
Given LTI system with following input response (can use properties of the Fourier transform like, sinc(x)...
Given LTI system with following input response (can use properties of the Fourier transform like, sinc(x) = sin(πx)/πx ): h(t) = 8/π sinc(8t/π) where input x(t) of the LTI system is the following continuous-time signal x(t) = cos(t) cos(8t) a) find the Fourier transform of x(t) b) find the Fourier transform of h(t) c) Is this LTI system BIBO stable? Prove d) find the output y(t) of the LTI system
Given LTI system with following input response (can use properties of the Fourier transform like, sinc(x)...
Given LTI system with following input response (can use properties of the Fourier transform like, sinc(x) = sin(πx)/πx ): h(t) = 8/π sinc(8t/π) where input x(t) of the LTI system is the following continuous-time signal x(t) = cos(t) cos(8t) find the Fourier transform of h(t). Is this LTI system BIBO stable? Find output y(t)
A cascaded system that consists of an LTI system and a delay system is shown in...
A cascaded system that consists of an LTI system and a delay system is shown in Figure Q4(b). The input signal X(t) and impulse response of the LTI system, h(t) are given as the following: x(t) = 6-2&u(t) h(t) = e-fu(t) Determine: The Fourier transform of y(t). (3 marks) The Fourier transform of z(t). (3 marks) A basic modulator circuit is shown in Figure Q4(c). Modulation is a multiplication between input signal, m(t), and a carrier signal, c(t). The process...
1. Suppose that for the LTi system depicred in the following Sgure al the impulse response and the transfer function ane given by The input signal it) is the square wave of Figure (bl, whare t is in seconds. Since the fundamental period isT?-2r, the fundamental frequency is ab-2s/To-1 rad/s and kas,-k. lbi (a) use the Table provided to find the exponential Fourier serias of she signal it The xpceential Fourier series for the signal may be givn by where...
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3t)+ 6 sin(3t) e. u(t) 1. Plot the impulse response for h(t) directly from the above equation by creating a time vector 2. Use the residue function to determine the transfer function H(s). Determine the locations of the poles and zeros of H(s) with the roots function, and plot them in the s-plane (x for poles, o for zeros). Use the freas function...
2. (12 points) Apply the result from part 1 to determine the response of a lowpass filter. a) (4 points) Determine the fundamental frequency and non-zero complex exponential Fourier series coeffi- cients of the periodic signal 2π f(t) =-2-5 sin(2nt) + 10 cos(Grt + "") and sketch the Fourier magnitude spectum D versus w and the Fourier phase spectrum LD versus w (b) (2 points) Use Parseval's theorem for the exponential Fourier series to find the power of the signal...
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...
A continuous-time LTI system has unit impulse response h(t). The
Laplace transform of h(t), also called the “transfer function” of
the LTI system, is
.
For each of the following cases, determine the region of
convergence (ROC) for H(s) and the corresponding h(t), and
determine whether the Fourier transform of h(t) exists.
(a) The LTI system is causal but not stable.
(b) The LTI system is stable but not causal.
(c) The LTI system is neither stable nor causal
8...
3. Consider an LTI system with the impulse response h(t)e Find the Fourier series representation for the output y(t) for each of the inputs below: b ra(t) in Figure 2. Figure 2: a2(t)
Q1) Consider an LTI system with frequency response (u) given by (a) Find the impulse response h(0) for this system. [Hint: In case of polynomial over pohnomial frequency domain representation, we analyce the denominator and use partial fraction expansion to write H() in the form Then we notice that each of these fraction terms is the Fourier of an exponentiol multiplied by a unit step as per the Table J (b) What is the output y(t) from the system if...
A cascaded system that consists of an LTI system and a delay system is shown in Figure Q4(b). The input signal X(t) and impulse response of the LTI system, h(t) are given as the following: x(t) = 6-2&u(t) h(t) = e-fu(t) Determine: The Fourier transform of y(t). (3 marks) The Fourier transform of z(t). (3 marks) A basic modulator circuit is shown in Figure Q4(c). Modulation is a multiplication between input signal, m(t), and a carrier signal, c(t). The process...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago