3. Consider the interconnections of the LTI systems shown in Figure 1 below. (3 points)Figure 1.(a) Find the overall impulse response h[n] of the whole system(b) Determine and sketch the total impulse response h[n] ifhi[n] = 4u[n+3],h:[n] = 8[n-1],hs[n] = -4u[n-2],ha[n] = S[n+5]and

In the LTI system Find the overall impulse response of the system. Total response if the…

Answered: 3. Consider the interconnections of the…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Find the range of k for stability of a unity feedback system. Also find kmax and ma k G (s) = s(s+ 2) (s + 4) (s + 6) Please solve Last time in correct solution.
QUESTION 2 Two systems, h, [n] and h,[n] are connected in series and parallel with a system, h,[n] as shown in Figure Q2. The LTI impulse response functions of the systems h[n], ha[n] and ha[n] are given by equations (1), (2) and (3), respectively. h [n] = 2nu[n + 2] – 2nu[n – 3] (1) h2[n] = -3(u[n + 1] – u[n – 31) (2) %3D hz[n] = -2u[n – 1] + 2u[n – 5] (3) y[n] x,[n] Yı [n] h,[n] yz[n] h[n] x2[n] Ya[r] ha[n] Figure Q2 (a) Analyse the output response of y,[n] using convolution if the input signal x, [n] is given by x, [n] = 6[n + 4]. You may use any methods to obtain the output. Sketch the output signal y, [n].
Q3) A)overall impulse response of the system is given by X(n) a) h[n] = (h1[n]-h2[n])*h3[n]+h5[n]*h4[n] b) h{n] = (((h1[n]-h2[n])*h3[n])+h5[n])*h4[n] c) h[n] = (((h1[n]-h2[n])*h3[n])-h5[n])*h4[n] d) hn] = (((h1[n}-h2[n])*-h3[n])-h5[n])*h4[n]
4. a) Find the complete solution for the difference equation y[n] – 0.9y[n-1] = x[n] with the input x[R]= (-1/4)"u[n] and initial condition y[-1]= 1. b) An LTI system has an impulse response h[n] and input x[n] displayed in Figure 2 below. (b.i) Apply the method of convolution by superposition to find and sketch the convolution output y[n] of the system. (b.ii) Determine and sketch the step response of this LTI system.

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3. Consider the interconnections of the LTI systems shown in Figure 1 below. (3 points) Figure 1. (a) Find the overall impulse response h[n] of the whole system (b) Determine and sketch the total impulse response h[n] if hi[n] = 4u[n+3], h:[n] = 8[n-1], hs[n] = -4u[n-2], ha[n] = S[n+5] and