PLEASE ANSWER ONLY QUESTION 2. QUESTION 2 DEPENDS ON THE INFORMATION FROM QUESTION 1.
![There are several possibilities for implementing a DT differentiator. One of the simplest is to use a DTLTI system having impulse response 1. Find and plot the systems step response s[n] (that is, the systems output when a. the input is the unit step [a]) and ramp response rlnl (that is, the systems output when the input is the unit ramp nu[n]). Do the outputs agree with what you would expect from a differentiator? b. Draw a diret orm (apped delay line) implementation of the system c Find and plot the systems magnitude and phase responses for |FIs 2 d. Find a signal [n] that is not constant such that x[n]*h[n]-0 for all n. (The results of part (b) might be helpful for answering this.) Does this result agree with what you would expect from a differentiator?](http://img.homeworklib.com/questions/af6078d0-2b58-11eb-a79e-73dd06c1ebfb.png?x-oss-process=image/resize,w_560)
![2. Now suppose that we implement a cascade (series) connection of two of the systems from Problem 1. a. Find the overall systems impulse response. What operation would you expect this system to (approximately) perform? Use the results from Problem 1 to find and plot the new systems magnitude and b. phase responses for F Draw a direct form implementation of the new system - that is, an implementation that uses a single tapped delay line. Find and plot the systems output for each of the following inputs: c. d. (ii) nu[n] (ii) n2u[n] Do the results agree with the operation you expected this system to perform?](http://img.homeworklib.com/questions/aff7ab80-2b58-11eb-99f1-9b739498f39f.png?x-oss-process=image/resize,w_560)
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PLEASE ANSWER ONLY QUESTION 2. QUESTION 2 DEPENDS ON THE
INFORMATION FROM QUESTION 1.
There are...
Signals & Systems Course Question 2. The response of a system is for t 20 and...
Signals & Systems Course Question
2. The response of a system is for t 20 and zero otherwise. (a) Find the system's impulse response h(t). (b) When (t)-u(t), the corresponding output of the system is called unit-step response s(t). Find s(t) and calculate ds(t)/dt, what does this correspond to the result from (a).
follows (3) Consider the difference equation given as у(п) %3 0.75у(п — 2) + z(п) —...
follows (3) Consider the difference equation given as у(п) %3 0.75у(п — 2) + z(п) — 2(n — 1) — z(п — 2). (a) Draw the block diagram of the above difference equation in terms of adders, multi pliers and delay blocks (b) How many multiplications and additions do we need per sample? (c) Find the output y(n) for an input x(n) = S(n). What is this response called? Is the system stable? unit-step input. (d) Find the response due...
Consider the plant sDs2) 1) What is the plant's type? 2) Let C(s) - K (a...
Consider the plant sDs2) 1) What is the plant's type? 2) Let C(s) - K (a proportional controller). Find the closed-loop transfer function from reference to output using unity feedback. ) Choose different gains for K within the range 1 to 100. Plot the unit step response for the different gains. What happens with the transient response of the closed-loop as K increases? 4) For K 20 find the maximum value attained by the output y(t) and the settling time...
Question 1 (10 pts): Consider the continuous-time LTI system S whose unit impulse response h is given by Le., h consists of a unit impulse at time 0 followed by a unit impulse at time (a) (2pts)...
Question 1 (10 pts): Consider the continuous-time LTI system S whose unit impulse response h is given by Le., h consists of a unit impulse at time 0 followed by a unit impulse at time (a) (2pts) Obtain and plot the unit step response of S. (b) (2pts) Is S stable? Is it causal? Explain Two unrelated questions (c) (2pts) Is the ideal low-pass continuous-time filter (frequency response H(w) for H()0 otherwise) causal? Explain (d) (4 pts) Is the discrete-time...
matlab please matlab please (4) Consider the system described by the following difference equation y(n)1.77y(n-1)-0.81y(n 2)a(n)-...
matlab please
matlab please
(4) Consider the system described by the following difference equation y(n)1.77y(n-1)-0.81y(n 2)a(n)- 0.5(n -1) (a) Assuming a unit-step input, and using a long enough section of the input constant output y(n) is observed for large n, hence plot the output and determine the value of this constant called G so that a Note: G, y(n) for n0o. (b) Determine and plot the transient response given by: n(n) = y(n)- Go (c) Find the energy of the...
Only do question 2a. Please do it manually. Signal processing theory: Input System impulse response in...
Only do question 2a. Please do it manually.
Signal processing theory: Input System impulse response in O 15 t 2 s t Question 1. Consider the figure above. An input signal has a square shape with a width of 1 s and amplitude of 1. The instrument impulse response has a square shape with a width of 2 s and amplitude of 1. Follow the example given in the lecture slides to manually calculate and plot the instrument's output in...
For a causal LTI discrete-time system described by the difference equation:
For a causal LTI discrete-time system described by the difference equation: y[n] + y[n – 1] = x[n] a) Find the transfer function H(z).b) Find poles and zeros and then mark them on the z-plane (pole-zero plot). Is this system BIBO? c) Find its impulse response h[n]. d) Draw the z-domain block diagram (using the unit delay block z-1) of the discrete-time system. e) Find the output y[n] for input x[n] = 10 u[n] if all initial conditions are 0.
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] –...
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1...
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1 2s+1 Explain the similarities (at least 1) and differences (at least 1) between these responses. E_ figure. G, G 3 10 pts. Use MATLAB and plot the impulse response of the following systems Explain the similarities and differences between these responses. on the same 25+1 10 pts. Find the time constant (Te), pole(s), DC...
QUESTION 4 a. Determine the frequency spectrum of the signal x(t) b. What is the Nyquist...
QUESTION 4 a. Determine the frequency spectrum of the signal x(t) b. What is the Nyquist rate for this signal? cos(t) + 5sn3t. me-invariant system defined by, dt dt what will the system output y(t) be? QUESTION 5 The system function of a casual LTI system is given as, 2s a. Find the impulse response of the system. b. Find the step response of the system. A causal discrete-time LTI system is described by, y[n] - (3/4) yin-1+(1/8) yin-21 xn]...
Signals & Systems Course Question
2. The response of a system is for t 20 and zero otherwise. (a) Find the system's impulse response h(t). (b) When (t)-u(t), the corresponding output of the system is called unit-step response s(t). Find s(t) and calculate ds(t)/dt, what does this correspond to the result from (a).
follows (3) Consider the difference equation given as у(п) %3 0.75у(п — 2) + z(п) — 2(n — 1) — z(п — 2). (a) Draw the block diagram of the above difference equation in terms of adders, multi pliers and delay blocks (b) How many multiplications and additions do we need per sample? (c) Find the output y(n) for an input x(n) = S(n). What is this response called? Is the system stable? unit-step input. (d) Find the response due...
Consider the plant sDs2) 1) What is the plant's type? 2) Let C(s) - K (a proportional controller). Find the closed-loop transfer function from reference to output using unity feedback. ) Choose different gains for K within the range 1 to 100. Plot the unit step response for the different gains. What happens with the transient response of the closed-loop as K increases? 4) For K 20 find the maximum value attained by the output y(t) and the settling time...
Question 1 (10 pts): Consider the continuous-time LTI system S whose unit impulse response h is given by Le., h consists of a unit impulse at time 0 followed by a unit impulse at time (a) (2pts) Obtain and plot the unit step response of S. (b) (2pts) Is S stable? Is it causal? Explain Two unrelated questions (c) (2pts) Is the ideal low-pass continuous-time filter (frequency response H(w) for H()0 otherwise) causal? Explain (d) (4 pts) Is the discrete-time...
matlab please
matlab please
(4) Consider the system described by the following difference equation y(n)1.77y(n-1)-0.81y(n 2)a(n)- 0.5(n -1) (a) Assuming a unit-step input, and using a long enough section of the input constant output y(n) is observed for large n, hence plot the output and determine the value of this constant called G so that a Note: G, y(n) for n0o. (b) Determine and plot the transient response given by: n(n) = y(n)- Go (c) Find the energy of the...
Only do question 2a. Please do it manually.
Signal processing theory: Input System impulse response in O 15 t 2 s t Question 1. Consider the figure above. An input signal has a square shape with a width of 1 s and amplitude of 1. The instrument impulse response has a square shape with a width of 2 s and amplitude of 1. Follow the example given in the lecture slides to manually calculate and plot the instrument's output in...
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1 2s+1 Explain the similarities (at least 1) and differences (at least 1) between these responses. E_ figure. G, G 3 10 pts. Use MATLAB and plot the impulse response of the following systems Explain the similarities and differences between these responses. on the same 25+1 10 pts. Find the time constant (Te), pole(s), DC...
QUESTION 4 a. Determine the frequency spectrum of the signal x(t) b. What is the Nyquist rate for this signal? cos(t) + 5sn3t. me-invariant system defined by, dt dt what will the system output y(t) be? QUESTION 5 The system function of a casual LTI system is given as, 2s a. Find the impulse response of the system. b. Find the step response of the system. A causal discrete-time LTI system is described by, y[n] - (3/4) yin-1+(1/8) yin-21 xn]...
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