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Problem 3. (25 points) Two signals are multiplied as follows yf(t) clt) 2? where c(t) is...
Signals and systems Problem 2 (20 points) Let -S2t+1, Osts1 x(t) = -t +4, 1sts 3...
Signals and systems
Problem 2 (20 points) Let -S2t+1, Osts1 x(t) = -t +4, 1sts 3 be a periodic signal with fundamental period T=3 and Fourier coefficients ar a. Determine the value of ao. b. Determine ak, k = 0, by: 1. first finding the Fourier coefficients of ii.then using the appropriate property of the continuous-time Fourier series. c. Use the result of part (b) to express the Fourier transform of x().
Signals/Systems What do the sketches look like when justifying the answer? (d) (20 points) Your friend,...
Signals/Systems
What do the sketches look like when justifying the answer?
(d) (20 points) Your friend, Uri Smart, manages a communications company and presents you with a schematic that implies 2(t) = f(t)b(t) where f(t) denotes the output of a hi-fidelity function generator and Uri confirms that the (double- sided) spectrum y(w) = 0 for l > π. (i) Suppose the function generator is set to f(t) = cos(Wet) with parameter ue subject to choice. Given that Uri requires the...
Question 3 (30 points) Consider the signals defined below: *:(t) = cos(2) xz(t) = cos(4+) a)...
Question 3 (30 points) Consider the signals defined below: *:(t) = cos(2) xz(t) = cos(4+) a) Determine the fundamental period for each signal. b) Determine the fundamental period and fundamental frequency of the signal: y(t) = x;(C)x(0) (t) and x2(c) when the fundamental frequency is c) Determine the Fourier Series coefficients of defined as determined in part (b). d) Using Parseval's relation, determine the power of xy(t) and xy(t) e) Determine and plot the Fourier Series Coefficients of y(t). Show...
Question 2 (50 points]: Continuous-Time Signals Given the following continuous-time signal (t). (t) 5t (a) [4%]...
Question 2 (50 points]: Continuous-Time Signals Given the following continuous-time signal (t). (t) 5t (a) [4%] What is the fundamental period (i.e., T) and fundamental frequency (ie, wo) of (+)? (b) [8%] Calculate the time average, average power and total energy of x(t). Is x(t) an energy signal? Explain. (c) [8%] Calculate the Fourier series coefficients of (t), i.e., {x}. [Hint: You can make use of the result in Q1(a).] (d) [8%] What is the percentage of power loss if...
For b.), it is from 20 to -20. Not 10 to -10 3. (40 points) Consider the time signals shown in Figure3 h(t) 10 z(t) 2 -10 Figure 3 Find y(t)-h(t)sz(t) using the graphical approach of the convolution i...
For b.), it is from 20 to -20.
Not 10 to -10
3. (40 points) Consider the time signals shown in Figure3 h(t) 10 z(t) 2 -10 Figure 3 Find y(t)-h(t)sz(t) using the graphical approach of the convolution integral (by hand). You can use MATLAB to ver
3. (40 points) Consider the time signals shown in Figure3 h(t) 10 z(t) 2 -10 Figure 3 Find y(t)-h(t)sz(t) using the graphical approach of the convolution integral (by hand). You can use MATLAB...
Points) Consider the signal s(t) with Fourier Transform 10 1+ω. S(a) figure below, we impulse sam...
points) Consider the signal s(t) with Fourier Transform 10 1+ω. S(a) figure below, we impulse sample s) at a frequency o, rads/second, e signal sa(t). Can you find a finite sampling frequency o such that ly recover s(t) from so()? If so, find it. If not, explain why not. a) (5 pts) In ting in the can perfectly you s (t) sa(t) →| Impulse sample at- rate o b) (5 pts) Now suppose we filter the signal s() with an...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3 + 2t,-t) and L2 : <t,-2 + t, 7-20 a) Verify that L1 and L2 intersect, and find their point of intersection. (b) Find the equation of the plane containing L1 and L2 (2) Consider the set of all points (a, y, z) satisfying the equation 2-y2+220. Find their intersection 0 and 2-0. Use that information to sketch a with the planes y =-3,-2,-1,0,...
3. (25 pts) Consider the data points: t y 0 1.20 1 1.16 2 2.34 3 6.08 ake a least squares fitting of these data using the model yü)- Be + Be-. Suppose we want to m (a) Explain how you would comput...
3. (25 pts) Consider the data points: t y 0 1.20 1 1.16 2 2.34 3 6.08 ake a least squares fitting of these data using the model yü)- Be + Be-. Suppose we want to m (a) Explain how you would compute the parameters β | 1 . Namely, if β is the least squares solution of the system Χβ y, what are the matrix X and the right-hand side vector y? what quantity does such β minimize? (b)...
True False Question 2 (3 points) Given a singly linked list with more than two nodes,...
True False Question 2 (3 points) Given a singly linked list with more than two nodes, to remove the second node from a linked list with only head reference, assume curr - head, next, you do Set curr.next to head.next Oset head. next to curr.next Set head, next to curr Oset head to curr.next TL th Question 3 (3 points) Given the following singly linked list (a list with four nodes), what will be the value stored at the last...
Can someone do 28, 32, 40, and 44 198 CHAPTER 3 Probability c. Use the results of parts a and b to find ed value of Ca...
Can someone do 28, 32, 40, and 44
198 CHAPTER 3 Probability c. Use the results of parts a and b to find ed value of Cash 4 admission to college); the Law School Admissions Test, or LSAT; and the Graduate Record Exam, GRE (used for admission to graduate school). 32. New York's "Pick 10" is a 10/80 lottery Sometimes, these maltiple-choice tests discourage guessing by subtracting points for wrong answers In particular, a correct answer will be worth +1...
Signals and systems
Problem 2 (20 points) Let -S2t+1, Osts1 x(t) = -t +4, 1sts 3 be a periodic signal with fundamental period T=3 and Fourier coefficients ar a. Determine the value of ao. b. Determine ak, k = 0, by: 1. first finding the Fourier coefficients of ii.then using the appropriate property of the continuous-time Fourier series. c. Use the result of part (b) to express the Fourier transform of x().
Signals/Systems
What do the sketches look like when justifying the answer?
(d) (20 points) Your friend, Uri Smart, manages a communications company and presents you with a schematic that implies 2(t) = f(t)b(t) where f(t) denotes the output of a hi-fidelity function generator and Uri confirms that the (double- sided) spectrum y(w) = 0 for l > π. (i) Suppose the function generator is set to f(t) = cos(Wet) with parameter ue subject to choice. Given that Uri requires the...
Question 3 (30 points) Consider the signals defined below: *:(t) = cos(2) xz(t) = cos(4+) a) Determine the fundamental period for each signal. b) Determine the fundamental period and fundamental frequency of the signal: y(t) = x;(C)x(0) (t) and x2(c) when the fundamental frequency is c) Determine the Fourier Series coefficients of defined as determined in part (b). d) Using Parseval's relation, determine the power of xy(t) and xy(t) e) Determine and plot the Fourier Series Coefficients of y(t). Show...
Question 2 (50 points]: Continuous-Time Signals Given the following continuous-time signal (t). (t) 5t (a) [4%] What is the fundamental period (i.e., T) and fundamental frequency (ie, wo) of (+)? (b) [8%] Calculate the time average, average power and total energy of x(t). Is x(t) an energy signal? Explain. (c) [8%] Calculate the Fourier series coefficients of (t), i.e., {x}. [Hint: You can make use of the result in Q1(a).] (d) [8%] What is the percentage of power loss if...
For b.), it is from 20 to -20.
Not 10 to -10
3. (40 points) Consider the time signals shown in Figure3 h(t) 10 z(t) 2 -10 Figure 3 Find y(t)-h(t)sz(t) using the graphical approach of the convolution integral (by hand). You can use MATLAB to ver
3. (40 points) Consider the time signals shown in Figure3 h(t) 10 z(t) 2 -10 Figure 3 Find y(t)-h(t)sz(t) using the graphical approach of the convolution integral (by hand). You can use MATLAB...
points) Consider the signal s(t) with Fourier Transform 10 1+ω. S(a) figure below, we impulse sample s) at a frequency o, rads/second, e signal sa(t). Can you find a finite sampling frequency o such that ly recover s(t) from so()? If so, find it. If not, explain why not. a) (5 pts) In ting in the can perfectly you s (t) sa(t) →| Impulse sample at- rate o b) (5 pts) Now suppose we filter the signal s() with an...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3 + 2t,-t) and L2 : <t,-2 + t, 7-20 a) Verify that L1 and L2 intersect, and find their point of intersection. (b) Find the equation of the plane containing L1 and L2 (2) Consider the set of all points (a, y, z) satisfying the equation 2-y2+220. Find their intersection 0 and 2-0. Use that information to sketch a with the planes y =-3,-2,-1,0,...
3. (25 pts) Consider the data points: t y 0 1.20 1 1.16 2 2.34 3 6.08 ake a least squares fitting of these data using the model yü)- Be + Be-. Suppose we want to m (a) Explain how you would compute the parameters β | 1 . Namely, if β is the least squares solution of the system Χβ y, what are the matrix X and the right-hand side vector y? what quantity does such β minimize? (b)...
True False Question 2 (3 points) Given a singly linked list with more than two nodes, to remove the second node from a linked list with only head reference, assume curr - head, next, you do Set curr.next to head.next Oset head. next to curr.next Set head, next to curr Oset head to curr.next TL th Question 3 (3 points) Given the following singly linked list (a list with four nodes), what will be the value stored at the last...
Can someone do 28, 32, 40, and 44
198 CHAPTER 3 Probability c. Use the results of parts a and b to find ed value of Cash 4 admission to college); the Law School Admissions Test, or LSAT; and the Graduate Record Exam, GRE (used for admission to graduate school). 32. New York's "Pick 10" is a 10/80 lottery Sometimes, these maltiple-choice tests discourage guessing by subtracting points for wrong answers In particular, a correct answer will be worth +1...
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