Consider a discrete-time LTI system with impulse response, h[n] and input signal,x[n] as given below:h[n] = 58[n + 3] – 28[n] + 38[n +2] + s[n – 1]x[n]2n-2-124-1(i) Sketch and label h[n](ii) Determine the output of the system, y[n] using convolution in time-domain.Show your complete working.

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Answered: Consider a discrete-time LTI system…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Derive the transfer function R(s) Suppose the equations given as X2-g21X1+923X3] X3-931X1+g32X2tg33X3 X4-G42X2+&43X3 There are four nodes X1, X2. X3 and X4 we shall now draw the signal flow graph using above equations: 931 942 933 932 943 1 oC(s) 921 X2 R(s)o- X1 923
Question 1: A) Derive the transfer function of the electrical circuits shown in Figure below and then show the output signal when the input is a unit step. V₁(s) Vc (s) V(s) elle Ls -18
101] The discrete-time signals in Figure below are plotted as shown to plot the following: i-xa[2n], ii-xa[-n/4], iii- Xb[-5 - n] find z(n)= x₁[-n+1] + x[n+1], and plot the signal z(n). plot 2xb[n]+2. . . find an even and odd parts of the signal in Xa(n). determine the energy for the signals xb(n) [u(n-1)-u(n-5)] and S = 5 -6-5- 11171 2 3 4 -3-2--1₁ -2 n=al 0 (a) 567 *** T!!! 11 -3 (24 (9 -6-5-4-3 xa(n)[u(-n+3)-u(n-4)] 012345 11 Luffi
1. Consider an input x[n] and a unit impulse response h[n] of a discrete-time LTI system given by: h[n] = 38[n + 3] + 28[n+ 1] + 8[n] – 8[n – 1] + 28[n– 2] 1012 Determine and plot the output signal y[n] = x[n] * h[n] .
1. Consider an input x[n] and a unit impulse response h[n] of a discrete-time LTI system given by: h[n] = 38[n + 3] + 28[n+ 1] + 8[n] – 8[n – 1] + 28[n – 2] 101 2 3 Determine and plot the output signal y[n] = x[n] + h[n].
5. A discrete-time signal x[n] is shown in Figure below. Sketch and label each of the following signals. x[n] (a) x[n]u[1 – n]; (b) x[n]{u[n + 2] – u[n]}; (c) x[n]8[n – 1]. -4 3 -2 -1 0 I 2 3 4 5
Construct a signal flow graph from the following equations. Obtain overall transfer function using Mason's gain formula x2 =a12X1 + a32*3 + a42X4 + a52*5 X3 =a23X2 X4 = A34X3 a44X4 X5 =a35X3 + a45ł4 where x, is input variable and x5 is output variable.
Q1) For the control system shown in figure (1). Obtain the transfer function C(s)/N(s) assume the input (R(s)=0). Use block diagram reduction method. G5(s) N(s) R(s) C(s) G7(s) G1 (s) G2(s) G3(s) G4(s) Gó(s)
Draw the output waveforms (S, X, and Y) for the below sequential circuit by assuming the propagation delays of all the components that are shown in below figure equal to zero second. S CIk clk A B
1. A discrete LTI system has an input x[n] and impulse response h[n] shown below. Find the output y[n] and sketch the output waveform. A. x[n] and h[n] described the figures below: h[n] 1 012 0.5 11 2 0 1 x[n] C n
(a) Digital Convolution Consider an LTI system that has an impulse response h[n] given in the figure below (and is zero everywhere else): h[n] 3 2 1 -1 1 n -1 -2 -3 Suppose the input to the system is x[n] = u[n + 1] + u[n – 1] – 2u[n – 2]. Determine the output of the system, y[n]. You may provide your answer either as sample values and their corresponding sample number (n) or using a plot, remem- bering to label your axes.
Find the transfer function T(s) for the circuit shown in figure below. CAI RAI RB1 Vin o Vo CBL R1 R2

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