![2OOM ELE 180 Spring 2018 Sect lI Homework4 NAML 1) Solve y[k23ysk12y[k]-0 if y-1] 0 and y-2] 1 Find the uni impulse response, h[k], of a systern specified by the following equatior 3) Find the unit impulse response, h[k], of a system specified by the following equation: 4) Solve recursively for 0, 1, 2 the following equation, given that y-1-10 2) 5) For the system with the following difference equation a) Find the characteristic roots b) Determine if the system is stable, unstable or marginally stable 6) For the system with the following difference equation: a) b) Find the characteristic roots Determine if the system is stable, unstable or marginally stable](http://img.homeworklib.com/questions/f2006470-7446-11eb-b9c1-f14078398394.png?x-oss-process=image/resize,w_560)
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2OOM ELE 180 Spring 2018 Sect lI Homework4 NAML 1) Solve y[k23ysk12y[k]-0 if y-1] 0 and...
Do each of the following eight (8) problems. The problems have equal weight. For each problem, in order to receive maximum possible credit, show the steps of the solution clearly,and provide appr...
Do each of the following eight (8) problems. The problems have equal weight. For each problem, in order to receive maximum possible credit, show the steps of the solution clearly,and provide appropriate explanation. Return this exam with your answer sheets . Chapter continunous-time system, with time t in seconds () input fO, and output yo. is specified by the equation y(t) = 1.5cos(2x500 + 0.8ft). a. Is this system instantaneous (memoryless) or dynamic (with memory)? Justify your answer Show that...
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t) Find the characteristic poly...
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t) Find the characteristic polynomial, characteristic equation, characteristic root(s), and characteristic mode(s) of this system. a. b. Is this system asymptotically stable, marginally stable, or unstable? Justify your answer.
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t)...
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input 1(1) and output y(t) is...
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input 1(1) and output y(t) is specified by the differential equation D(D? + 1)y(t) = Df(t). a. Find the characteristic polynomial, characteristic equation, characteristic root(s), and characteristic mode(s) of this system. b. Is this system asymptotically stable, marginally stable, or unstable? Justify your answer.
Problem 2. For the following system described by the difference equation where y[-1-y[-2] = 0 and...
Problem 2. For the following system described by the difference equation where y[-1-y[-2] = 0 and x[n] = 2u[n]: a. Draw a block diagram of this system using delays, multipliers, and adders b. Determine the impulse response of the system, h[n], and plot it in MATLAB for n = 0, 1, ,20. (Hint: use Euler's Formula to simplify) c. Is this system stable? d. Determine the initial conditioned repsonse, in. e. Find the total response of the system, yn nln....
ECE 2713 Homework 6 Spring 2019 Dr. Havlicek 1. Text problem P-7.3. (the problem is shown on page...
ECE 2713 Homework 6 Spring 2019 Dr. Havlicek 1. Text problem P-7.3. (the problem is shown on page 3) 2. Text problem P.7.8, parts (a), (b), and (d) only. (the problem is shown on page 3) 3. A discrete-time ITI system H has input rjnl and output vinl related by the linear constant coefficient difference equation (a) Find the transfer function H(z) a n find thefunctionalform of H(s) Note: yo but in this part you do not yet have enough...
find the unit impulse response, h[k] of a system specified by the following equation (E^2 -...
find the unit impulse response, h[k] of a system specified by the following equation (E^2 - 6E +9)y[k] = Ef[k]
Please solve the following and show steps clearly 1-a casual LTI system is characterized by the...
Please solve the following and show steps clearly 1-a casual LTI system is characterized by the following difference equation y[n]-3/4 y[n-1]+1/8 y[n-2]= 2 x[n] find the impulse response, h[n], of this system 2-then find the response of the system to input x[n]= (1/4)^n u[n]
6. Consider the second-order difference equation, 114 pt 16 a. Find the characteristie polynomial and characteristic...
6. Consider the second-order difference equation, 114 pt 16 a. Find the characteristie polynomial and characteristic roots of this system. b. Is this a stable system? Justify your answer mathematically. c. Draw a system diagram for implementing this difference equation using adders, multipliers and time-delays, as needed. d. Find the zero-input solution for initial conditions: l-11-0 and yI-2]--1 in closed- form. e. Find y[l iteratively using the initial conditions given in part f. Find yIl] using the closed form solution...
please show detailed work/proof 3. The input and output of a causal LTI system satisfy the...
please show detailed work/proof
3. The input and output of a causal LTI system satisfy the following difference equation (d.e.) y[n] = ayln-1] + x[n]-a"x[n-N], N > 0 a. Determine the impulse response h[n]. Hint: solve it iteratively starting from n=0, 1, , n=N+1; x[n] = δ[n] then think what is y[n] ? b. Sketch the impulse response h[n] c. Is this an FIR or an IIR system? d. For what values of the parameter a is the system stable?
Please solve using the Discrete-Time Fourier Transform: Given a filter described by the difference equation y[n]...
Please solve using the Discrete-Time Fourier Transform: Given a filter described by the difference equation y[n] = x[n] + 2x[n - 1] + x[n - 3] where x[n] is the input signal and y[n] is the output signal. a) Find H[n] the impulse response of the filter. b) Plot the impulse response c) Find the value of H( Ω) for the following values of Ω = 0, pi, pi/2, and pi/4
Do each of the following eight (8) problems. The problems have equal weight. For each problem, in order to receive maximum possible credit, show the steps of the solution clearly,and provide appropriate explanation. Return this exam with your answer sheets . Chapter continunous-time system, with time t in seconds () input fO, and output yo. is specified by the equation y(t) = 1.5cos(2x500 + 0.8ft). a. Is this system instantaneous (memoryless) or dynamic (with memory)? Justify your answer Show that...
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t) Find the characteristic polynomial, characteristic equation, characteristic root(s), and characteristic mode(s) of this system. a. b. Is this system asymptotically stable, marginally stable, or unstable? Justify your answer.
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t)...
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input 1(1) and output y(t) is specified by the differential equation D(D? + 1)y(t) = Df(t). a. Find the characteristic polynomial, characteristic equation, characteristic root(s), and characteristic mode(s) of this system. b. Is this system asymptotically stable, marginally stable, or unstable? Justify your answer.
Problem 2. For the following system described by the difference equation where y[-1-y[-2] = 0 and x[n] = 2u[n]: a. Draw a block diagram of this system using delays, multipliers, and adders b. Determine the impulse response of the system, h[n], and plot it in MATLAB for n = 0, 1, ,20. (Hint: use Euler's Formula to simplify) c. Is this system stable? d. Determine the initial conditioned repsonse, in. e. Find the total response of the system, yn nln....
ECE 2713 Homework 6 Spring 2019 Dr. Havlicek 1. Text problem P-7.3. (the problem is shown on page 3) 2. Text problem P.7.8, parts (a), (b), and (d) only. (the problem is shown on page 3) 3. A discrete-time ITI system H has input rjnl and output vinl related by the linear constant coefficient difference equation (a) Find the transfer function H(z) a n find thefunctionalform of H(s) Note: yo but in this part you do not yet have enough...
6. Consider the second-order difference equation, 114 pt 16 a. Find the characteristie polynomial and characteristic roots of this system. b. Is this a stable system? Justify your answer mathematically. c. Draw a system diagram for implementing this difference equation using adders, multipliers and time-delays, as needed. d. Find the zero-input solution for initial conditions: l-11-0 and yI-2]--1 in closed- form. e. Find y[l iteratively using the initial conditions given in part f. Find yIl] using the closed form solution...
please show detailed work/proof
3. The input and output of a causal LTI system satisfy the following difference equation (d.e.) y[n] = ayln-1] + x[n]-a"x[n-N], N > 0 a. Determine the impulse response h[n]. Hint: solve it iteratively starting from n=0, 1, , n=N+1; x[n] = δ[n] then think what is y[n] ? b. Sketch the impulse response h[n] c. Is this an FIR or an IIR system? d. For what values of the parameter a is the system stable?
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