For the system described by y[n] = n2 x[n – 1],
determine whether it is
a) Linear or not
b) Time-invariant or not
c) BIBO stable or not
d) Causal or not and
e) Memoryless or not
A system with input x(t) and output y(t) is described by y(t) = 5 sin(x(t)). Identify the properties of the given system. Select one: a. Non-linear, time invariant, BIBO stable, memoryless, and causal b. Non-linear, time invariant, unstable, memoryless, and non-causal c. Linear, time varying, unstable, not memoryless, and non-causal d. Linear, time invariant, BIBO stable, not memoryless, and non-causal e. Linear, time invariant, BIBO stable, memoryless, and non-causal 0
Determine whether the system described byy(t) = cos[x(t – 1)] is a) Memoryless b) Causal c) Linear d) Time Invariant
Consider the discrete-time system with input x[n] and output y[n] described by : y[n]=x[n]u[2-n] Which of the following properties does this system possess? Justify your answer in each case. Do not use Laplace transforms a) Memoryless b)Time-invariant c) Linear d)Casual e) Stable
1) Determine if the discrete-time system,y[k] =x[k] +r·y[k−1]is linear / time-invariant / causal / memoryless. Show your work and explain each property. Start by assuming,x1[k]→y1[k], x2[k]→y2[k]. 2) Determine if the discrete-time system,y[k] =x[k] +rk·y[k−1]is linear / time-invariant / causal / memoryless. Show your work and explain each property. 3) For the system in part 1), if x[k] = 100·u[k−1] and y[k] = 0 for k<0, what is the range of values for r that makes this system BIBO stable? Show...
1. Consider a discrete-time system H with input x[n] and output y[n]Hn (a) Define the following general properties of system H () memoryless;(ii BIBO stable; (ii) time-invariant. (b) Consider the DT system given by the input-output relation Indicate whether or not the above properties are satisfied by this system and justify your answer.
Given output, y[n] = 2x[n] + x[n 1] + 3 Determine wether the systema) Memory b) Causal c) Linear d) Time Invariant e) Stable
(d) [5] The input-output relation for DT system is described by following system equation y[n] = 31[] State if the system possesses the following properties: Linear BIBO-Stable Casual Memoryless Time-Invariance
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...
Determine whether the summation operation defined by y[n] = Ek--- x[k], is Memoryless (11) Invertible (111) Causal (iv) Stable Time invariant (vi) Linear
tions. 1. A leaky integrator: y(n) - Ax(n) + (1 -A)y(n-1), 0< A<1 2. A differentiator: y(n)= 0.5x(n)-0.5x(n-2) (2) Draw the unit impulse responses of the above two processes. A = 0.5 (Hint: you just need to draw a picture that y-axis is y(n) and x-axis is n (time). The input is the unit impulse x(n) = δ(n). ) (3) A linear time-invariant (LTD) system can be represented by the impulse response hn). What is the iff condition on h(n),...