![9. Determine whether the following systems are invertible. If so, find the inverse. If not, find 2 input signals that produce the same output. (a) y)-r (b) yn]-ewl, where a is a real number (c) yt)-vx(t) for real-valued signals x(t) (d) yIn] xIn] (complex conjugate) 10. In most of the book, we will be discussing ways to analyze linear time-invariant (LTI) systems. As we will explore in much more detail later, the response of an LTI system to a particular input signal determines the responses of the system to other related input signals. Suppose that the response of an LTI system to the input signal x, [n] drawn below is y[n] also drawn. Determine the response of the system when the input signal is x,[n] instead. cn? 32](http://img.homeworklib.com/questions/d5aeeed0-9be1-11eb-8571-0b1c77b66eee.png?x-oss-process=image/resize,w_560)
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9. Determine whether the following systems are invertible. If so, find the inverse. If not, find...
9. Determine whether the following systems are invertible. If so, find the inverse. If not, find...
9. Determine whether the following systems are invertible. If so, find the inverse. If not, find 2 input signals that produce the same output. (a) yo)r (b) yin]- et-, where a is a real number (c) y(t)-Vx'(t) for real-valued signals x(t) (d) Mn]=x[n] (complex conjugate)
1.30. Determine if each of the following systems is invertible. If it is, construct the inverse...
1.30. Determine if each of the following systems is invertible. If it is, construct the inverse system. If it is not, find two input signals to the system that have the same output. (a) ya)-x(t - 4) (c) y[n] nx[n] (b) y(t) = cos(x(t)] x[n - 11, n z 1 In], (e) yIn]-0, ns-1 (g) y[n] x[1 -n] G) y(t) dxt (1) V(f) = X(20) n 0 (k) vini =lx(n+1],
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]...
1) Linearity: In order for a system to be linear it must satisfy the following equation: In other...
need solution and code for this signal and system
problem
1) Linearity: In order for a system to be linear it must satisfy the following equation: In other words, the response of a linear system to an input that is a linear combination of two signals is the linear combination of the responses of the system to each one of these signals. Let xi)- u(t) -u(t-1) and x2t) u- u(t-2) be input signals to the systems described by the i/o...
Signal system question. EEGR 221 Signals and Systems Homework 3 Determine whether the following systems are...
Signal system question.
EEGR 221 Signals and Systems Homework 3 Determine whether the following systems are (i) Memoryless (ii) Invertible (ii) Casual (iv) Stable (v) Time invariant (vi) Linear (a) y(t)-5x(2t +4) (b) y(t)-7 x(2t 1) +3 (c) y(t)e4x(c) (d) y(t)-sin (x(t + 1)) (e) y(t) x(t)l (1) y() log(x(t)) Your answer must have 3 components for each property 1) Definition of the property 2) Yes or NO 3) Justification and the test that you have done to give the...
a = 3 signals and systems 1) [10 pts. Let a system be defined as ta...
a = 3
signals and systems
1) [10 pts. Let a system be defined as ta y(t) x(31 - 2a)dt 2a Is this system b) No b) No b) No vii) memoryless? a) Yes viii) Linear? a) Yes ix) Time invariant? a) Yes x) Causal? a) Yes xi) BIBO stable? a) Yes 2) [5 pts. What is the impulse response h(t)? 3) [10 pts.] Let a signal in s domain b) No b) No 2 Y(S) Sa What is the...
Discrete-Time Multiple Choice: Show your work for each question as much as you can (a) Which...
Discrete-Time Multiple Choice:
Show your work for each question as much as you can
(a) Which of the following systems is linear?) (B) y[n] 2 cos(x (n) (D) y[n] x(n) (b) Which of the following systems is time-invariant?() (C) yfn] n[n] (D) yIn] - x-2n] (B) y[n] - cos(nx(n)) (c) Which of the following systems is causal? () (A) yln]-2x[-n] (d) Which of the following systems is NOT stable? () (C) yln] vx(n) (B) yinl 50 sin(rIn)+ 10 cos(2x())D)h(n) (0.2)"u(r)...
Consider three systems with the following input-output relationships 6. Consider three systems with the following input-output...
Consider three systems with the following input-output
relationships
6. Consider three systems with the following input-output relationships: { 4 0, odd System 1: y[n n even r[n] 10ar(n 2]3r[n - 1 System 2: yn + + System 3: yn x[3n] The interconnection diagram is at follows: System 1 System 2 System 3 Find the input-output relationship of the interconnected system. State the properties of the system (linear, stable, time invariant, memoryless, and causal).
6. Consider three systems with the following...
i need all questions quickly. - Answer the following questions in details. 1) Determine whether the...
i need all questions quickly.
- Answer the following questions in details. 1) Determine whether the following signals are periodic or non-periodic. If they are periodic, find the fundamental period. a) b) te=cos(+1) 2) Find the even and odd parts of the following signals: x(t) = (1 + r) cos (104) X(t) = ejt 3) A discrete-time signal [n] is shown below. Sketch and label each of the following signals. (a) xn-21 (b) x[21] (c)--) (d) x[-n21 a) 4) Determine...
Question 1.. Detemine if the following systems are linear or not (a) (5 points) y(t) =...
Question 1.. Detemine if the following systems are linear or not (a) (5 points) y(t) = tx(t (b) (5 points) y(t) = 2(t (c) (5 points) y(t) = 2.r(t) +3 15 points Question 2 Determine if the following systems are time-invariant or not 10 points (a) (5 points) y(t) = x(2t) (b) (5 points) y(t) =r(t)u(t) 5 points Question 3 Determine if the following systems are causal or not (a) (5 points) y(t) = r(-t) 20 points Question 4 Consider...
9. Determine whether the following systems are invertible. If so, find the inverse. If not, find 2 input signals that produce the same output. (a) yo)r (b) yin]- et-, where a is a real number (c) y(t)-Vx'(t) for real-valued signals x(t) (d) Mn]=x[n] (complex conjugate)
1.30. Determine if each of the following systems is invertible. If it is, construct the inverse system. If it is not, find two input signals to the system that have the same output. (a) ya)-x(t - 4) (c) y[n] nx[n] (b) y(t) = cos(x(t)] x[n - 11, n z 1 In], (e) yIn]-0, ns-1 (g) y[n] x[1 -n] G) y(t) dxt (1) V(f) = X(20) n 0 (k) vini =lx(n+1],
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]...
need solution and code for this signal and system
problem
1) Linearity: In order for a system to be linear it must satisfy the following equation: In other words, the response of a linear system to an input that is a linear combination of two signals is the linear combination of the responses of the system to each one of these signals. Let xi)- u(t) -u(t-1) and x2t) u- u(t-2) be input signals to the systems described by the i/o...
Signal system question.
EEGR 221 Signals and Systems Homework 3 Determine whether the following systems are (i) Memoryless (ii) Invertible (ii) Casual (iv) Stable (v) Time invariant (vi) Linear (a) y(t)-5x(2t +4) (b) y(t)-7 x(2t 1) +3 (c) y(t)e4x(c) (d) y(t)-sin (x(t + 1)) (e) y(t) x(t)l (1) y() log(x(t)) Your answer must have 3 components for each property 1) Definition of the property 2) Yes or NO 3) Justification and the test that you have done to give the...
a = 3
signals and systems
1) [10 pts. Let a system be defined as ta y(t) x(31 - 2a)dt 2a Is this system b) No b) No b) No vii) memoryless? a) Yes viii) Linear? a) Yes ix) Time invariant? a) Yes x) Causal? a) Yes xi) BIBO stable? a) Yes 2) [5 pts. What is the impulse response h(t)? 3) [10 pts.] Let a signal in s domain b) No b) No 2 Y(S) Sa What is the...
Discrete-Time Multiple Choice:
Show your work for each question as much as you can
(a) Which of the following systems is linear?) (B) y[n] 2 cos(x (n) (D) y[n] x(n) (b) Which of the following systems is time-invariant?() (C) yfn] n[n] (D) yIn] - x-2n] (B) y[n] - cos(nx(n)) (c) Which of the following systems is causal? () (A) yln]-2x[-n] (d) Which of the following systems is NOT stable? () (C) yln] vx(n) (B) yinl 50 sin(rIn)+ 10 cos(2x())D)h(n) (0.2)"u(r)...
Consider three systems with the following input-output
relationships
6. Consider three systems with the following input-output relationships: { 4 0, odd System 1: y[n n even r[n] 10ar(n 2]3r[n - 1 System 2: yn + + System 3: yn x[3n] The interconnection diagram is at follows: System 1 System 2 System 3 Find the input-output relationship of the interconnected system. State the properties of the system (linear, stable, time invariant, memoryless, and causal).
6. Consider three systems with the following...
i need all questions quickly.
- Answer the following questions in details. 1) Determine whether the following signals are periodic or non-periodic. If they are periodic, find the fundamental period. a) b) te=cos(+1) 2) Find the even and odd parts of the following signals: x(t) = (1 + r) cos (104) X(t) = ejt 3) A discrete-time signal [n] is shown below. Sketch and label each of the following signals. (a) xn-21 (b) x[21] (c)--) (d) x[-n21 a) 4) Determine...
Question 1.. Detemine if the following systems are linear or not (a) (5 points) y(t) = tx(t (b) (5 points) y(t) = 2(t (c) (5 points) y(t) = 2.r(t) +3 15 points Question 2 Determine if the following systems are time-invariant or not 10 points (a) (5 points) y(t) = x(2t) (b) (5 points) y(t) =r(t)u(t) 5 points Question 3 Determine if the following systems are causal or not (a) (5 points) y(t) = r(-t) 20 points Question 4 Consider...
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