Consider the interconnection of three discrete-time linear shift-invariant systems shown in the figurebelow:h2(n)x(n)hj(n)y(n)h3(n)If h,[n] = u[n – 2], h2[n] = nu[n] and hz[n] = d[n – 2], what is the impulse response of the overall system?Explain your reason.

Consider the interconnection of three discrete-time linear shift-invariant systems shown in the figure below: h2(n) x(n) hi(n) y(n) h3(n) If h[n] = u[n – 2), hz[n] = nu[n] and h3[n] = 8[n – 2], what is the impulse response of the overall system? Explain your reason.

Consider the interconnection of three discrete-time linear shift-invariant systems shown in the figure below: h2(n) x(n) hi(n) y(n) h3(n) If h[n] = u[n – 2), hz[n] = nu[n] and h3[n] = 8[n – 2], what is the impulse response of the overall system? Explain your reason.

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

Related questions

Q: 4. Consider the impulse response function h[n] and input signal x[n]given as; 0 for n 5 x[n] = u[n+…

Q: Z-transfom of any điscrete -time signal can be defined using expression below, X(Z) = xIn]z", x, [n]…

Q: Consider a discrete-time system with impulse response h[n] = ()*u[n] Determine the response to each…

Q: What is the impulse response of a stable discrete-time system with the following mathematical…

A: We need to find out the inverse z Transform of given system

Q: Consider a discrete-time LTI system with impulse response, h[n] and input signal, x[n] as given…

A: We need to find out the output for given input and impulse function

Q: We want to design a causal discrete-time LTI system with the property that п п-1 1 if the input is…

A: x(n)=(12)nu(n)-14(12)n-1u(n-1)y(n)=(13)nu(n)

Q: Consider a discrete-time LTI system with impulse response h[n]= 1/5 [d[n] + ô [n-1] + ô [n-2] + ô…

A: The LTI system means a linear time invariant system . A linear system has a linear relation between…

Q: find the impulse response of the system whose input-output relationship is defined as y[n]-…

Q: 2. System function of a discrete-time and causal LTI system has a zero at z = 0 and two poles at pı…

Q: 1. Consider the LTI system with impulse response h[n] = u[n] (i) Can this system be implemented…

Q: x(t) LTI System y(1) H(s) Figure 1. Transfer function of a linear, time invariant and stable system…

A: Note: We are authorized to answer three subparts at a time since you have not mentioned which part…

Q: 3. Consider the causal, discrete-time LTI system described by the difference equation: yln) + yin-…

Q: 2) Transfer function of a linear, time invariant and stable system is given as : 1 H(s) =- s² – 8s +…

A: c) If all the poles of the transfer function are placed at the right-half of the s-plane, then the…

Q: Samples of the discrete-time signal x[n] are given as x[n] = [-1, 2, 0, 3, -7, 6]. a) Write the…

A: The time domain signals can be continuous or discrete. The time domain signals can be periodic as…

Q: |1. Consider the systems given by the following input-output relationships. In each case, determine…

Q: 2. System function of a discrete-time and causal LTI system has a zero at z = 0 and two poles at pi…

Q: Consider the causal, discrete-time LTI system described by the difference equation: ylml…

A: The given difference equation is, y[n]+14y[n-1]-18y[n-2]=13x[n-1]

Q: |1. Consider the systems given by the following input-output relationships. In each case, determine…

A: (a) A function is said to be causal when the output of the system depends upon the present and past…

Q: 3. Find the impulse response of the system whose input-output relationship is defined as y[n] – 3y[n…

Q: (a) A linear time invariant (LTI) system relating an input to the output of a system is defined by…

A: Discrete time systems can be represented using difference equation relating output and input. A…

Q: Consider the following difference equation: yln] -5/6 y[n-1] +1/6 y[n-2] = x[n] (a). Determine the…

Q: Calculate the value of expression ∑2n=-2= h[n] for the impulse-response h(n) of a system defined by…

Q: 3. Find the impulse response of the system whose input-output relationship is defined as y[n] – 3yln…

A: Difference equation

Q: 10.3. Given the LTI system of Figure P10.3, with the input x[n] and the impulse response h[n], where…

A: Solution:- xn=0,1,1,1,1,1,1,‐‐‐‐ taking Z-transform xZ=Z∧-1+Z∧-2+Z∧-3+Z∧-4+Z∧-5+Z∧-6…

Q: S3) Samples of the discrete-time signal x[n] are given as x[n] = [-1, 2, 0, 3, -7, 6]. a) Write the…

A: We are authorized to answer three subparts at a time since you have not mentioned which part you are…

Q: a) h[n] = {-1,1,2,-3,4} Above defines the impulse response h[n] of a certain LTI aystem Determine…

A: Given, h[n] = {-1,1,2,-3,4} and x[n] = {-1,-2,5,3,4}. output signal y[n] of the system can be…

Q: [4] Consider input signal x[n] plotted as below. 2 2 2 x[n] -3 -2 -1 0 1 2 3 4 5 6 8. 7 When the…

Q: Consider a discrete-time system which has input of signal x[n] and output of yln] = ix[n – i] a.…

Q: 2) The impulse response of accumulator is u[n] = E-0 8 [n – k] k=0 a) Prove that unit step function…

A: From the Impulse response concept

Q: Consider a system with impulse response: h(n)=G),0<nS4 0, otherwise Determine the input x(n) for…

A: This question belongs to signal and system . It is based on the concept of convolution of discrete…

Q: Consider an LTI system described by the impulse response h[n] = 4°u[2-n] (a) Sketch h[n] (b) For…

Q: 3.16. When the input to an LTI system is -()" i) u[n] + (2)"u[-n – 1), x[n] = the corresponding…

A: Differential equation: It is an equation in Z-transform that relates the input and the output of the…

Q: . Consider the impulse response function h[n] and input signal x[n]given as; 0 for n 5 x[n] = u[n] −…

A: We need to find out output sequence for input sequence .

Q: Find the time-domain response to a unit impulse input for a system described by the transfer…

Q: oblem 3 ction: Consider the discrete-time linear time-invariant system with transfer- 22 H(2) = (z -…

Q: The impulse response of a discrete time LTI system is h(n)=an u(n) with a>0. If the input applied…

A: For an LTI system, the output can be obtained by convoluting the input with the impulse response of…

Q: Consider a discrete-time LTI system with impulse response, h[n] and input signal, x[n] as given…

Q: 2) Transfer function of a linear, time invariant and stable system is given as : 1 H(s) = =5² – 8s +…

A: So there are no zeros, and the poles are at s = 9, s = -1 Therefore the pole-zero diagram is

Q: Consider the causal discrete-time LSI system with difference equation: y[n] = 0.5y[n – 1]+x[n] +…

Q: Consider the system shown below: x[n] - hz[n] = a"u[n] y[n] h[n] = B8[n – 1] Which of the following…

Q: Q1) Impulse response and the input of a discrete time LTI system are respectively h[n] = 28[n] – 8[n…

Q: 2) Consider an input x[n] and a unit impulse response h[n] given by x[n] = (1/2)(n-2)u[n – 2] h[n] =…

A: Input and impulse response h[n] is given, Find the output y[n]= x[n] *h[n] , * convolution This…

Q: 2. Consider a linear time-invariant continuous (LTC) system having an impulse response -2…

A: GIVEN: impulse h(t)=e-2t sin(3t) u(t) FIND: a)transfer function of the system b)…

Q: The input-output relationship of a discrete-time LTI system is given as follows yln] = 2x[n – 4] –…

Q: Define the unit-sample response of a discrete-time system. Explain the significance of the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2) Transfer function of a linear, time invariant and stable system is given as : 1 H(s) = s² – 8s +…

A: Given the Transfer Function: H(s)=1s2-8s+R a) We need to draw the pole-zero diagram and also we need…

Q: Ste-Kt, when t > 0 0, when t 0 Question 3. A linear system shown below has an impulse response of…

Q: Consider the signal. Express the signal as a linear combination of impulse functions.…

A: Express the signal as a linear combination of impulse functions.

Q: A discrete-time system is defined as: y(n) - - (n-1) = x(n-1) Input x[n] and output y[n] is valid…

A: We need to find out the impulse response for given system .

Q: When the input to an LTI system is (). x[n] = u[n] + (2)"u[-n –- 1], the corresponding output is ()'…

Question

Consider the interconnection of three discrete-time linear shift-invariant systems shown in the figure
below:
h2(n)
x(n)
hj(n)
y(n)
h3(n)
If h,[n] = u[n – 2], h2[n] = nu[n] and hz[n] = d[n – 2], what is the impulse response of the overall system?
Explain your reason.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

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 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.
The impulse response of an LTI system is h(n) = 3δ(n) + (1/4)n u(n). Find the frequency response, H(e jω), and the difference equation of this system. An input signal x(n) = (1/3)n u(n), is applied to this system and an output signal y(n) is observed. Find the output signal, y(n), using DTFT methods. Give the system function H(z) using the frequency response H(ejω). Find the zeros, poles and ROC of this system and show them on the complex plane. Discuss the stability, causality, FIR/IIR and memory properties of this system.
In a linear time-invariant discrete-time system, x[n] is the input and y[n] is the output. Unit at the entrance of the systemWhen initial conditions are zero when step (u[n]) is applied y[n] = 3(1/2)^n It is known that u[n] is output.Accordingly, create the transfer function of the system and find the unit sample answer for this system. (h[n]=?) Reminder: This question also covers z-transformation and inverse z-transformation.
3.Find the impulse response of the system whose input-output relationship is defined as y[n]−3y[n-1]−4y[n-2]=x[n]+2x[n−1] a)By using time-domain operations and b)By using frequency-domain operations (i.e., DTFT and then inverse DTFT).
A system is described as: w (n + 1) = 0.5 w(n) — x(n) y(n) = w (n) - x(n) Where x(n) and y(n) are input and output signals, respectively. 1. Draw a block diagram or signal flow graph representation for this system by using Direct form II 2. Find the system function H(z) and the impulse response h(n) of this system. 3. Is this system causal or not? Why? 4. Is this system stable or not? why? 5. If the input impulse Dirac 8 find the difference equation.
find the impulse response of the system whose input-output relationship is defined as y[n]- 3y[n-1]- 4y[n-2]= x[n]+ 2x[n-1] a) by using frequency-domain operations (i.e., DTFT and then inverse DTFT).
the first order difference equation y[n]-ay[n-1]=x[n],0<a<1,describes a particular discrete-time system intially at rest. (a)verify that the impulse response h[n] for this system is h[n]=anu[n]. (b)is the system 1.memoryless? 2.casual? 3.stable? claearly state your reasoning (c)is the system stable if |a|>1?
The transfer function is H(s) = (1.2s+0.18)/(s3 + 0.74s2 + 0.92s) and C(s) = (K(s+1))/ s A) A disturbance input W(s) =W/sk , where W is a constant, into the feedbackcontroller as shown below. We set R(s) = 0. What type of disturbance input W(s)(step, ramp, or parabola) can thesystem reject (i.e., the steady-state error ess is a nonzero constant)? (B) Suppose you want to design the controller C(s) to produce a closed-loop response to areference step input that has no more than 30% maximum overshoot (Mp ≤ 0.30) and a peak timeof no more than 8 sec (tp ≤ 8). Given the specifications on Mp and tp , compute the constraintson the damping ratio ζ and the damped natural frequency ω, assuming that the closed-loop systemis approximated as a 2nd-order underdamped system. Sketch the allowable regions in thecomplex plane (the s-plane) that these constraints define, and shade in the regions where the polesshould not be placed.
Samples of the discrete-time signal x[n] are given as x[n] = [-1, 2, 0, 3, -7, 6]. a) Write the equation of the signal x[n] in terms of unit impulse function. b) Plot the graphs of the signals x[n] and y[n] = x[n].(u[n]-u[n+2])
1.Find the impulse response of the equivalent system (i.e,, find h[n]) such that ?[?]=?[?]∗ℎ[?]holds where h1[n]=?[n]+0.5?[n−1], h2[n]=0.5?[n]−0.25?[n−1], h3 [?]=(0.5)n u[n]with u[n]denoting unit-step function. this is a signal systems question
Task-1: Convert the following difference equations into z transforms:(a) y ( n ) = x ( n − 2)(b) y ( n ) = 0.1 x ( n ) + 0.9 x ( n − 1) − 0.3 y ( n − 1) Task-2: Find and plot zeros and poles of the systems defined by the difference equations given in Task-1. Task-3: Find and plot (a) Unit impulse responses (b) Unit step responses (c) Ramp responses :(x(n)=[1 2 3 4]) in time domain. Task-4: Plot frequency responses of the systems.