5. A system is formed by cascading two systems as shown below. Given that the impu...
A system is formed by cascading two systems as shown in the figure given below. Given that the impulse responses of the systems are, h1(0) = 22e-* u(1), h₂( = e ult) -40 hi(t) h2(t) Vo References eBook & Resources Section Break Difficulty: Medium Learning Objective: Un into the time domain. value: 10.00 points Determine the impulse response of the overall system. The impulse response of the overall system is h(t) = (Click to select) v (Click to select) v...
The system shown below is formed by connecting two systems in parallel. The impulse responses of the systems are given by: t h, (t) = € 2€ u(t) , h (t) = 2e fu(t) 1) Find the impulse response h(t) of the overall system. 2) Is the overall system stable? h,(t) x vo h(t)
Also, solve the following problem. Consider a system made by cascading two LTI systems. The first system is described by y[n] = x [n] – ax (n – 3]. The second has impulse response h (n] = {po aP [n – 3p] with ( < a < 1. Find the impulse response of the overall system.
The impulse response of some LTI systems are given below. Determine which ones are stable and/or causal? e. hn] (-0.5)"u[n] (1.02)"u[1-n] ht)2u(t 2) -2t t h, h(t)-sin()
Problem 5. (20 points) Topic: System interconnections. Given two systems with the impulse responses h:(0) = e (l) and hz(t) = u(t) - ufl-1) (rectangular pulse of duration 1). Find the impulse response h(t) of a new system which is a series interconnection of two mentioned systems. Present mathematical and graphical solution Total 100 points (1) =
1. Consider the system shown in the figure below. The system is an integrator, in which the output is the integral: y(t)x()dr -00 Integrator x(t) y(t) (a) We may determine the impulse response h(t) by applying an impulse signal to the integrator, i.e. x(t) -5(t). What is the impulse response? Answer: (10 points) (b) The output of the integrator may be found by apply convolution method to determine the output. The convolution of the two signals is expressed a)ht -...
h(t) h(1) + ht) Figure Q2 (a) Q2 (a) Consider the system shown in Figure Q2 (a). Find the overall impulse response of the system, h(t) with impulse responses given below. h(t) = 3e-Stu(t) hy(t) = et u(t) hg(t) = 2t u(t) (5 marks) (b) Determine whether the system, h(t) obtained in Q2 (a) is: (1) Stable (3 marks) (ii) Causal (2 marks) Q3. (a) Explain the Gibbs phenomenon. (3 marks) (b) Given a signal 3 x(t) = x+7cos (41t+...
please matlab code result is important 5. Consider a system with a cascade connection of two causal LTI systems: • Frequency response of the first system is H, (e) 1-2 and The impulse response of the second system is h, [n] = 5()'u[n] The input to the system is x[n], the output of the first system is w[n) and the output of the overall (complete) system is yn). a. Find the difference equation relating i. The input x[n) to the...
5- Determine whether or not each of the following LTI systems with the given impulse response are memoryless: a) h(t) = 56(t- 1) b) h(t) = eT u(t) e) h[n] sinEn) d) h[n] = 26[n] 6- Determine whether or not each of the following LTI systems with the given impulse response are stable: a) h(t) = 2 b) h(t) = e2tu(t - 1) c) h[n] = 3"u[n] d) h[n] = cos(Tm)u[n] 7- Determine whether or not each of the following...
(a) LTI Systems. Consider two LTI subsystems that are connected in series, where system Tl has step response s1(t)=u(t-1)-u(t-5) and system T2 has impulse response h2t = e-3tu(t). Find the overall impulse response h(t). Hint: you will need to find h1(t) first (b)Fourier Series. The input signal r(t) and impulse response h(t) of an LTI system are as follows:x(t) = sin(2t)cos(t)-ej3t +2 and h(t) = sin(2t)/t Use the Fourier Series method to find the output y(t) (c)Parseval's Identity and Theorem. Consider the system in the...