In this question you need to tick all correct answers. Which of the following continuous time...
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]
QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to a Linear Time Invariant system of which the impulse response h(t) is shown as h(t) = { .. 12, -osts-2 elsewhere Compute the output y(t) of the system above using convolution in time domain for all values of time t. [8 marks) (b) The impulse response h[n] of an LTI system is given as a[n] = 4(0.6)”u[n] Determine if the system is stable. [3...
In this question you need to tick all correct answers. Which of the following discrete time signals are periodic? Heren e Z. none of the other answers x[n] = cos(n+1) Ox[n] = cos(n) Ox[n] = cos(fin) + V5 Ox[n] = cos(inV5)
Problem 2. Decide if the following systems are linear, time-varying, causal, and have memory. The signals r[n] or r(t) are the input, and the signals y[n] or y(t) are the output Put Y for Yes, and N for No. No justification is needed. Linear? Time-Invariant?Causal?Has Memory? System y(t) = cos[r(t)] y(t) = 2t-x(t + 1) y(t) = r(3) 2 | 6 | y[n] = x[n] + x[n-1] + 1
For each of the following systems, determine which of the above properties hold. 5. General properties of systems. A system may or may not be: (a) Memoryless (b) Time Invariant (c) Linear (d) Causal (e) Stable For each of the following systems, determine which of the above properties hold. (a) y(t)sin(2t)x(t) { 0, x(t)2t 3) t20 t <0 (b) y(t) = (c) yn3[n ] -n-5] x[n], 0, n 1 (d) yn 0 n= n2, n< -1 5. General properties of...
Q1. True / False Memoryless Causal Stable Time-invariant Linear y(t) = x(2t) – 1 rt-1 J-00 y(t) = Sx() dt y[n] = 2 x[m] m =0
Linear Time Invariant Systems 4] For each of the following continuous-time systems xt) is a real input. Determine whether the system is (1) stable, (2) causal, (3) linear and (4) time invariant (5% each): (a) T(x(t)] = sin(2π) x(t + 2%)-cos(2π) x(t-ro), where τ。> (b)T(x(t)] = x(4) (c) T(x(t)]Ξ14- AxzQ A is a complex constant.
Consider a causal, linear and time-invariant system of continuous time, with an input-output relation that obeys the following linear differential equation: y(t) + 2y(t) = x(t), where x(t) and y(t) stand for the input and output signals of the system, respectively, and the dot symbol over a signal denotes its first-order derivative with respect to time t. Use the Laplace transform to compute the output y(t) of the system, given the initial condition y(0-) = V2 and the input signal...
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....