Let the impulse response of a causal system be
h(n) = -0.75h(n-1) +δ(n)
(a) (5 points) What are the impulse response filter coefficients?
(b) Is the lter stable? Justify your answer.
(c) Express y(n) in terms of an implementable combination of previous out-put values and input values and draw a picture of your filter
Let the impulse response of a causal system be h(n) = -0.75h(n-1) +δ(n) (a) (5 points) What are t...
please provide a complete solution with the correct answer. Let the following causal system be initially at rest, and let h[n] be the impulse response, with z- transform H(zEfS A. 2 2 20.The second point of the impulse response is, hlll- a) 0 b) 1/3 C)1/2d)3/2e)none above Let the following causal system be initially at rest, and let h[n] be the impulse response, with z- transform H(zEfS A. 2 2 20.The second point of the impulse response is, hlll- a)...
Problem 1: Let the impulse response of an LTI system be given by 0 t< h(t) = 〉 1 0 < t < 1 0 t>1 Find the output y(t) of this system if the input is given by a) x(t) = 1 + cos(2nt) b) x(t)-cos(Tt) c) x(t) sin (t )l d) x(t) = 1 0 < t < 10 0 t 10 e) x(t) = δ(t-2)-5(t-4) f) a(t)-etu(t) Problem 2: For the same LTI system in Problem 1,...
5 pts D Question 1 A system has the following impulse response: .2 Sample number, n From the choices below, select the frequency response of this system. H (eju)-e(1.5 ) (2 sin( 1.5ώ) + 4 sin(0.δώ)) H (ee) = e-j(1.5e-5) (cos( 1.5 ) +2 cos(0.54)) @ H (ee)-e-n1.si) (sin( 1.54) t. 2 sin(0.δώ)) (sin(l.50) +4sin(0.0) H (ee)-e-j(1.5i) (2 cos( 1.5ώ) + 4 cos(0.5a)) H (efo)-e-n1.5u) (cos( 1.50) + 2 cos(0.50)) https://rmitinstructure.comcoursesy 5 pts DQuestion 2 A system has the following...
Problem 2: Find the impulse response h(n) of a causal LTI system if the input x(n) and the output y(n) are given as follows 72 42)un-1) y(n)-G)na(n) xnun)
Question 1 (10 pts): Consider the continuous-time LTI system S whose unit impulse response h is given by Le., h consists of a unit impulse at time 0 followed by a unit impulse at time (a) (2pts) Obtain and plot the unit step response of S. (b) (2pts) Is S stable? Is it causal? Explain Two unrelated questions (c) (2pts) Is the ideal low-pass continuous-time filter (frequency response H(w) for H()0 otherwise) causal? Explain (d) (4 pts) Is the discrete-time...
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),...
Determine the output response y[n] of a causal LTI digital system with an impulse response h[n]=2(0.2)n μ[n] for an input sequence x[n] = 4(0.3)n μ[n]
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
Problem 1 (Marks: 2+1.5+1.5+4) A linear time-invariant system has following impulse response -(よ 0otherwise 1. Determine if the system is stable or not. (Marks: 2) 2. Determine if the system is causal or non-causal. (Marks: 2) 3. Determine if the system is finite impulse response (FIR) or infinite impulse response (IIR). (Marks: 2) 4. If the system has input 2(n) = δ(n)-6(n-1) + δ(n-2), determine output y(n) = h(n)*2(n) for n=-1, 0, 1, 2, 3, 4, 5, 6, (Marks: 4)
Q8) Consider the following causal linear time-invariant (LTI) discrete-time filter with input x[n] and output y[n] described by bx[n-21- ax[n-3 for n 2 0, where a and b are real-valued positive coefficients. A) Is this a finite impulse response (FIR) or infinite impulse response (IIR) filter? Why? B) What are the initial conditions and their values? Why? C) Draw the block diagram of the filter relating input x[n] and output y[n] D) Derive a formula for the transfer function in...