Given output, y[n] = 2x[n] + x[n 1] + 3
Determine wether the system
a) Memory b) Causal c) Linear d) Time Invariant e) Stable
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
The system y[n]= x[n] +8x[n + 1]+x[n +2] is O With memory. Causal, Time-varying and Linear With memory, None Causal, Time-varying and Linear With memory, None Causal, Time-invariant and Linear Memmoryless, None Causal, Time-invariant and Linear With memory, None Causal, Time-invariant and None Linear The system y[n]= x[n] +8x[n + 1]+x[n +2] is O With memory. Causal, Time-varying and Linear With memory, None Causal, Time-varying and Linear With memory, None Causal, Time-invariant and Linear Memmoryless, None Causal, Time-invariant and Linear...
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
Problem 4. Given the input/output system represented by t-1 y(t) = 2 ( x(y - 3) dy where x(t) is the input and y(t) is the output, a) Determine whether the system is linear or non-linear. b) Determine the impulse response h(t, to) of the system by setting x(t)= 8(t–to). c) Determine whether the system is time invariant or time variant. d) Determine whether the system is causal or non-causal.
on # 3) For the below given system find if the system is: a. Linear or Non-Linear b. Time variant or Time invariant c. Memory or Memory less d. Causal or Non-causal e. Stable or unstable System is given by y(t) -etx(t)
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
In digital signal processing. with explanation tnx will up 15. Is the function y[n]-x[n-1]-x[n-56] causal? a. The system is non causal b. The system is causal >» c. Both causal and noncausal d. None of the above 16. Is the function y[n]x[n] stable in nature? a. It is stable - b. It is unstable c. Both stable and unstable d. None of the above 17. We define y[n] = nx[n]-(n-Dx[n]. Now, z[n] = z[n-1] + y[n]. Is z[n] a a....
7. For a linear system whose input-output relations is represented as: v n]=x[n]+0.5x[n-l]-0.25x[n-2]·(x r input. y[n] output) We also assume this system is originally at rest, ie. yln] -0 ifnco. (a) Write the transfer function of this systenm (b) Determine the first five samples of its impulse response. (c) Is this system a stable system? (d) Write down the input-output relation the causal inverse system of this system (e) Use Matlab to finds zeros and poles of the transfer function...
Memory less ? Causal ? Bounded input bounded output stable ? Is the system invertible ? Linear ? Time invariant? Question (1) ls the system S, given by (6 Marka y(t) = 3x(t-1)-2 a) Memoryless?
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...