8. Determine whether the following LTIC systems are BIBO stable and explain why or why not (a) hi...
3. Determine whether the LTIC systems with the following transfer functions are BIBO stable and explain why or why not. = 2 + (8+1)(8+2) (a) Ĥ2(s) 82 +55+6 (b) A3 (8) (5-1+j5)(3-1-15) (c) Î(8) = (6+2)5+4) (d) Â14(8) 1,2716 (e) Âg(s)
A system is BIBO (bounded-input, bounded-output) stable if every bounded input X(t) yields a bounded output y(t). A system is NOT BIBO stable if there exists any bounded input that results in an unbounded output. By "bounded", we mean that the magnitude of the signal is always less than some finite number. (The signal x(t)=sin(t) would be considered a bounded signal, but X(t)t would not be a bounded signal.) Signals that are infinite in time, but with a magnitude that...
For each of the following systems, determine whether the system is (1) stable, (2) causel, (3) linear, (4) time invariant, and (5) memoryless.
(please explain your answers). for the following transfer
function,
a) determine if the associated system is BIBO stable
b) if BIBO stable systems in question a). For these systems,
determine the steady state output Yss(t) given
- an input u(t) = 2step(t) → Yss(t) = lim t→+∞ (y(t)) = constant
value
-an input u(t) = 3 sin(t) → Yss(t) = sin function
c) if non BIBO stable systems in question a). For these systems,
find a bounded input that makes...
External Stability Problem
Determine the following systems are BIBO stable? (a) y(t)-x(t) *x(t) (b) y(t)=tx(t) (c) y(t)-d(/d
Question 1: (25marks) Determine whether each of the following represents a BIBO (Binary Input/Binary Output) stable system: H(z) (z-7)(z2+1/9), causal b. H(z) (z-7)(z2+1/9), anticausal H(z) z/[(z-0.7) (2+z+1)], mixed d. H(z)-(z+1)(2-1), causal a. C. For each case in which the system is determined the ROC.
Question 1: (25marks) Determine whether each of the following represents a BIBO (Binary Input/Binary Output) stable system: H(z) (z-7)(z2+1/9), causal b. H(z) (z-7)(z2+1/9), anticausal H(z) z/[(z-0.7) (2+z+1)], mixed d. H(z)-(z+1)(2-1), causal a. C. For each case...
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...
3) For each of the following systems with input xfin] and output y/nl, determine whether it is linear, time invariant, causal, and/or stable. lineax - time-varient
Dasi 1. For each of the following systems, determine whether the system is (1) stable, (2) causal, (3) linear, (4) time invariant, and (5) memoryless: (a) 7(x[n]) = g[n]X[n] with g[n] given (b) (x[n]) = x=no x[k] n20 (c) 7(x[n]) = (d) T(x[n]) = x[n - nol + x[k] (e) T(x[n]) = ex[n] (f) T(x[n]) = ax[n] + b (g) T(x[n]) = x[-n] (h) T(x[n]) = x[n] + 3u[n + 1).
determine whether 20 total pts] For each of the following systems described by their input-output behavior, or not the system is (1) linear,(2) time-invariant, (3) causal. For each case, make sure that you explain why. a. (5 pts] y[n] Axn] +B where A and B are nonzero constants d. 5 pts] y[n] x[n cos(0.25n)