oints, 2each] For the following systems, classify each system as causal/non-causal, and invertible/noninvertible system. Explain your...
for each of the systems shown below check all of the following statement that always true. Statement The system is stable. The system is unstable. system is causal The system is non-causal If the system is causal, it is stable. If the system is not causal, it is stable. If the system is stable, it is causal. If the system is not stable, it is causal. The causal. The system is FIR The system is IIR b) Im/z) c) Imfa)...
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...
Indicate whether the following systems are causal, invertible, linear, memoryless,and (A system may have morethan one of these properties.) Justify your answer.y(t) = x(t−2)+x(2−t) (causal, invertible, linear , memoryless, time invariant )
The original signal below is filtered by the following causal LTI systems System )+yt)) System 2 : y(t) + y(t) = dtr(t) Original Signal (a) Detcrmine which system produced signal A. Justify your answer (7 points (b) Determine which system produced signal B. Justify your answer 7 points)
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],
Memory less ? Causal ? Bounded input bounded output stable ? Is the system invertible ? Linear ? Time invariant? Question (1) ls the system S, given by (6 Marka y(t) = 3x(t-1)-2 a) Memoryless?
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...
Classify or characterize the following systems as homegeneous, additive, linearity, time-invariance, BIBO stability, causality, invertible and memoryless (a) y(n)= Re(z(n)), (b) y(n) = Re(ejiHz(n)) (e) y(n)=x(4n +1) e) y(n)r(n -2) - 2x(n - 8) (g) y(n) Evenfx(n - 1))
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)
Classify or characterize the following systems as homogeneous, additive, linearity, time-invariance, BIBO stability, causality, invertible, and memoryless: (a) y(n) = Re(a(n)), (c) y(n-2(4n + 1) (d) y(n)=x(-n) (e) y(n) = 2(n-2)-22(n-8) (f) y(n) = nx(n) (g) y(n) = Even{x(n-1))