A- Consider the interconnection of the Linear Time-Invariant (LTI) systems shownin the Fig.1:hz[n]x[n]yln]h[n]ha[n]ha[n]i) Express the overall impulse response h[n] in terms of h, [n], h2[n], h3[n] andh4[n].ii) Determine h[n] when h, [n] = [0.5 0.25 0, 5], h2[n] = h3[n] = (n+ 1)ufn}and h4 [n] = 8[n- 2]iii) Determine the response of the system in the figure to the :nputx[n] = 8[n+ 2] + 38[n- 1]-48[n-3]%3D%3D

Answered: Image /qna-images/answer/2d630196-6f3a-4cfc-a3d6-a0b5046b954d.jpg

A- Consider the interconnection of the Linear Time-Invariant (LTI) systems shown in the Fig.1: hz[n] x[n] yln] hy [n] ha[n] h,[n] i) Express the overall impulse response h[n] in terms of h, [n], h2[n], hz[n] and ha[n]. ii) Determine h[n] when h, [n] = [0.5 0.25 0, 5], h2[n] = h3[n] = (n+ 1)u{n} and ha[n] = 8[n- 2] ii) Determine the response of the system in the figure to the :nput x[n] = 8[n+2] + 38[n – 1] – 48[n- 3]

A- Consider the interconnection of the Linear Time-Invariant (LTI) systems shown in the Fig.1: hz[n] x[n] yln] hy [n] ha[n] h,[n] i) Express the overall impulse response h[n] in terms of h, [n], h2[n], hz[n] and ha[n]. ii) Determine h[n] when h, [n] = [0.5 0.25 0, 5], h2[n] = h3[n] = (n+ 1)u{n} and ha[n] = 8[n- 2] ii) Determine the response of the system in the figure to the :nput x[n] = 8[n+2] + 38[n – 1] – 48[n- 3]

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...

See similar textbooks

Similar questions

1.Find the impulse response of the equivalent system (i.e,, find h[n]) such that y[n]=x[n]∗y[n]holds where h1[n]=h[n]+0.5drag[n−1], h2[n]=0.5drag[n]−0.25drag[n−1], h3 [n]=(0.5)n u[n]with u[n]denoting unit-step function. this is a signal systems question
a) h[n] = {-1,1,2,3}Above defines the impulse response h[n] of a certain LTI aystemDetermine the output signal,y[n] of the system considering that a signal x[n] = {-1,-2,t2,3} is applied to the system. b)
a. h[n] = u[n], where u[n] = unit stepAbove defines the impulse response h[n] of a certain LTI systemDetermine the output signal,y[n] of the system considering that the input signal x[n] = anu[n], where -1 < a < 1 is applied to the system. b.In summary, explain the following properties of a system and illustrate each type with an example. i.linear system ii.memory system iii.causal system
1. Signal with difference equation y(n) = 0.25y(n-1) + x(n) for n>= 0 with y(-1) = 0 Have response impulse A. FIR B. IIR C. Not known 2. One characteristic of a system called finite impulse response (FIR) is when the current output of the system depends only on the current and past inputs. True or False?
Fig. Q2(b) illustrates the electrical network with passive components. The Vi and Vo are the input and output voltage, respectively. i) Derive the transfer function, G(s) = Vo(s) / Vi(s) then design the combination of resistor, R2, and capacitor, C, that can produce the step response with an overshoot of 10% and a settling time 1.5 ms. ii) The capacitor is completely discharged before the step input voltage (Vi) of 10 volts is supplied to the system. Formulate the output function of Vo in the time domain. Then plot the unit step response of Vo(t) in a graph (t from 0 s to 3 ms). Indicate the settling time, peak time, and maximum overshoot in the graph.
Calculate the value of expression ∑2n=-2= h[n] for the impulse-response h(n) of a system defined by the constant coefficient difference equation in discrete-time y[n]-0,8.y[n-1]+0,15.y[n-2]=x[n]-0,3.x[n-1] and specify it as the response. thank you:)
Given a plant P(s)=−3s+1s+a and a model for measureable output disturbance d with transfer function Q(s)=1s+b. Compute the DC feedforward solution uP=u+Fd, where u is the feedback control, F is the feedforward gain, abd uP is the plant input, when a = 4.3 and b = 3 (use 2 decimals).
Using integrating, inverting, and summing amplifiers construct a circuit that solves the following first-order differential equation y'+10y = 20.
A stable input signal x(n) is applied to an LTI system with unit impulse response h(n)=2δ(n)+ (1/2)'' u(n), and the output is y(n)=2(1/4)'' u(n) is obtained.a) Find the frequency response, H(ejw), of the system.b) Find the x(n) sign and spectrum applied to the input by DTFT.c) Give the input/output differential equation of the system.
Design a radio receiver that powers an amplification system. The radio signal can be considered as an input voltage, while the amplification system, which is a two-terminal device, can be modeled as an equivalent resistance of 1 kΩ. A bandwidth of 500 kHz and a maximum power frequency of 10MHz are required.a) What is the quality factor?b) Do you consider that your receptor is selective or not very selective?
Could you answer this question and show the calculations clearly. Thanks a lot. Btw, this question is about the digital signal processing (electrical electronic engineering) Compute for this system, a) h[n], the impulse response b)Calculate y[n] for given x[n] analytically c) Calculate y[n] using graphical convolution d)Is this system causal? Why? e) What is this system used for?
A stable x(n) input signal is applied to an LTI system with a unit impulse response h(n), and y(n)=2 (1/4)'' u(n) output is obtained. a) Find the frequency response,H(ejω), of the system. b) Find the x(n) sign and spectrum applied to the input by DTFT. c) Give the input/output differential equation of the system.