In this question you need to tick all correct answers. Which of the following discrete time...
In this question you need to tick all correct answers. Which of the following continuous time systems are causal linear time-invariant (LTI) systems? j(t) = v(t) + 2t (t + v2) = (4) y[n] = minimum(v[n – 1), v[n – 2), v[n – 3]) Oy[n] = average(v[n – 1), v[n], v[n + 1]) v(t) 1<t<3 0 otherwise. s() ={ y(t + 2) = v(t) y(t) = öſt) Oy[n] = median(v[n - 1), vín – 2], v[n – 3])
In this question you need to tick all correct answers. Which of the following systems are Bounded-Input Bounded-Output (BIBO) stable? y[n] + y[n – 1] – $y[n – 2] = 2v[n] + > v[n – 1] j(t) + y(t) - by(t) = 20(t) + su(t) j(t) = v(t) – fu(t) y[n] = v[n – 1] + 3vfn – 2]
In this question you need to tick all correct answers. Which of the following systems are linear phase systems? y[n + 2] = v[n+ 2] + { v[n + 1] + v[n] y[n + 2] = { v[n + 1] + > v[n] y[n+ 2] = zy[n+ 1] + > v[n] y[n] = {v[n – 1] y[n+2] = { v[n+ 2] + > v[n+ 1] y[n+2] = v[n + 2] + { v[n + 1]
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...
(40pts) Find the z transform of the following discrete-time signals. Please remember to include the "region of convergence" for each signal: (a) x(n)=3e * (n) +2 (4) (-1-1) +5d(n) (b) x(n)=nu(n-1) x(n) = 4 cos(ant)u(n) x(n) = 2 cos[0.27(n-1)Ju(n) (e) x(n)=(n-1) cos[@nju(n-1)
Determine whether the following discrete-time signals are periodic or not? For the periodic ones, find their fundamental period. 2. (5 points each) a. x1 [n] =sin(0.5n +z/4) c. x1n] = cos (tn/3) + sin(nn/5)-2cos(tn/10) d. x4[n]- sin(tn/12) cos(tn/3) (Hint: use trigonometric identities to write the signal as a sum of sinusoids)
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)...
Find the discrete-time Fourier Series for the following periodic signals: 3. 4 cos 2.4n n + 2 sin 3.2n n x[n] a. xn 0 12 15 6 b. xn 2N No 2N C.
e) Let n] denote the discrete-time unit-step function. Derive the discrete-time Fourier transform of the following signals ytn) - 5 0.25" cos 2xm 5 marks]
2. Determine whether the following discrete-time signals are periodic or not? For the periodic ones, find their fundamental period. (5 points each) n12 c. z[n] sin (3rn7)2sin(n/10)