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Problem 4.28 A system is described by the block diagram in Figure E.28. 0.25 + +...
system #1 is described by y(t) = ramp(x(t)) and system #2 is described by y(t) = x(t) ramp(t). Classify both systems as to BIBO stability, linearity, invertibility and time invariance.
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))
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))
need answers for all 1. Which terminology correctly defines the system property described below? (2 pts) A system is stationary and does not vary over time. (a) Linearity (b) Time invariance (c) Periodicity (d) Causality 2. Which terminology correctly defines the system property described below? (2 pts) (a) Linearity (b) Time invariance (c) Periodicity (d) Causality 3. Which is true about a linear and time-invariant (LTI) system? (2 pts) (a) The system's output is always equivalent to an impulse reponse....
yce) Figure 1: Time-domain block diagram, with input u(t) and output y(t). For the block diagram shown in Figure find the system transfer function Y (s)/U(s).
Classify each in terms of linearity, time invariance, memory (static/dynamic), & causality (a) y’’(t) + 3y’(t)=2x’(t) + x(t) (b) y’’(t) + 3y(t)y’(t)=2x’(t) + x(t) (c) y’’(t) + 3tx(t)y’(t)=2x’(t) (d) y’’(t) + 3y’(t)=2x2 (t) + x(t+2) (e) y(t) + 3 = 2x2 (t) + 2x(t) (f) y(t) = 2x(t+1) + 5 (g) y’’(t) + e-ty’(t) = | x’(t-1) | (h) y(t) = x2 (t) + 2x(t+1) (i) y’’(t) + cos(2t)y’(t) = x’(t+1) (j) y(t) +t y(t)dt = 2x(t) -infinit,i
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.
Q2 (a) Given the signal x(t) and system h(t) as presented in Figure Q2(a). Determine the output y(t) using the graphical representation of convolution integral. (7 marks) x(1) h(t) 1 e-'u(t) e-2 (1) 0 Figure Q2(a) Q2 (b) Consider a system as shown in Figure Q2(b). t2 - 1 x(t) y(t) Advance by 1 second Х Figure Q2(b) Find the input-output relation between x(t) and y(t). (i) (1 mark) Examine whether the system is time variant or time invariant. (5...
Problem - Overall Stability (10 points) i) A system has the block diagram representation as shown in Fig. 1, where G(s)-10 (s+15)2 and G s+80 where K is always positive. The limiting gain for a stable system is Controller Process +e Va(s) Fig. 1. Block diagram
Could u please give me the answer plz a)e A continuous-time closed-loop system is described by the block diagram shown ρ in Figure 2. 1- Figure 2v i)-suggest a sensible minimum time constant τ for the sensor dynamics shown in Figure 2 if the closed-loop bandwidth required is 10 rads. Use this value for τ to calculate the ultimate positive gain value Ky for K by using a Routh-Hurwitz criterion and suggest a sensible minimum sampling rate for a digital...