) = 5 x(n) + 5 y(n – 1), For n20, y (-1) = 0, Find the unit-impulse response Determine the causality of the system Determine the stability of the system Write the output using the obtained impulse response.

) = 5 x(n) + 5 y(n – 1), For n20, y (-1) = 0, Find the unit-impulse response Determine the causality of the system Determine the stability of the system Write the output using the obtained impulse response.

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: The impulse response of accumulator is u[n] = Ef=o 8[n – k] O Prove that unit step function is also…

A: consider the given question;

Q: G1(s) = s2 + 2k2s+ kỷ' Sketch the positions of the poles of the system described by G1(s) on the…

A: According to the question, Since k1 and k2 are variable, hence, to solve the question, we will…

Q: For the system whose block diagram is given below: Find the impulse response h [n].

A: For the control system whose block diagram is given below: Find the impulse response h [n]

Q: 3) Determine and sketch output y[n] of an LTI system with input signal x[n] and impulse response…

Q: Problem 1 Given a block diagram of an LTI system below x(n) +) y(n) -1 4 a) Write the difference…

Q: A linear invariant discrete-time system has the output (y[n]) to be 2 (1/3)" u[n] when the input…

A: The input and output signal is: The z-transform of the input and output signal:

Q: For the system: y (n) = 5 x(n) + 5 y(n – 1), For n20, y (-1) = 0, 1. Find the unit-impulse response…

A: In this question they have mentioned the input and output relation of the system. Since all the…

Q: hz[n] <[n] y[n] h, [n] Σ ha[n] ha[n]

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

Q: 5. The function given by the equation x(n) = 1 for n = 0 x(n) = 0 for n ± 0 is? a) Step Function b)…

A: impulse function is a function exist only one value of n and remains zero for all values of n. step…

Q: The impulse response of an LTI system is h[n] = 3(n+2). a) Is this system BIBO stable? Why? b) A…

Q: (A) Two LTI sub-systems with individual impulse responses h1(n] and h2[n] are given below: h1[n] =…

Q: Find the output (y[n]) by convolution, using the input x[n] and the impulse response h[n] given…

A: The given signals of x(n) and h(n) are shown below:

Q: = 5 dx(t) + 4x(t) Q5. An LTI system is described by the following linear constant coefficient…

Q: 2. By given the expression of 3 K(2) = - ( (-- Find the impulse response, H[z]: and h[n] when is…

Q: The transfer function for an LTI system is given by: 2s + 4 H(s) = s² + 4s +3 - 3 < Re(s) < -1

A: " Since you have posted a question with multiple subparts, we will solve the first three subparts…

Q: What is the input-output relationship of the system whose impulse response is given below

A: What is the input-output relationship of the system whose impulse response is given below?

Q: Find the equivalent impulse response of the equivalent system given in the picture.

A: Control systems are represented by transfer function. This can be written in both time domain and…

Q: 1) Consider the cascade of the following two systems S, and S2, as depicted in Figure-1. w[n] x[n]…

Q: 6) The relationship between input and output signals is a causal and linear one that is as follows…

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

A: 2..>> A accumulator accumulates the value of input signal.Accumulator state starts from the…

Q: For the systems described by equation: h(t) =u(t –1) –u(t – 3) – S(t – 5) Determine the following:…

A: as per bartleby guidelines i am supposed to answer only one question and incase if it has subparts…

Q: h(n) 0 n

A: poles and zero determine the function is stable or unstable. The frequency of value of denominator…

Q: The impulse response of a sSystem S, is gion by Xt) = 4e2t The step response of a given by X (t) = 2…

Q: 4. Consider the following systems that are connected in series. w[n] = 3r[n] – 2r[n – 1] yln) =…

Q: 7 A system is described (characterized) by its impulse response or by its ...?

A: The detailed answer is solved below according to the given parameters and instructions in the…

Q: An LTI system has an impulse response described in figure. Is the system causal and stable? (The…

A: Evaluating the Z-transform of the given system:

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: (a) A plant with the following transter fung function G(s) = (s² + 2s + 4)(s+ 2)(s+4)(s+11) is…

Q: 14. Starting from the basics (definition of linear and time-invariant systems and the decomposition…

Q: output signal, and the impulse response of a linear-time invariant system. Three systems that…

Q: Are the following systems linear? Is it memoryless? Is it causal? Explain your answer. Can impulse…

A: "According to the company's policy, we will solve only the first three parts of the question". Given…

Q: 8. We want to design a causal discrete-time LTI system with the property that n-1 if the input is…

Q: Sketch the pole-zero pattern. Is the system stable? Determine the impulse response of the system.

Q: (A) Two LTI systems with individual impulse responses h1[n] and h2[n] given below h1[n] = [2, 2,…

A: Since question B are not related to question A ( subpart of A ) as per the guidelines we answer…

Q: ● Discrete-Time Convolution: Homework: O An LTI system that has an impulse response given by h[n] =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Example problem: Given two independent 1st order recursive systems with complex constant…

A: Two independent 1st order recursive systems with complex constant coefficients shown below: We have…

Q: Find the step response of the system whose impulse response is n-1 h(n) = 3 и(п) — 2 и(п) and find…

Q: What frequencies will appear in the output? For example, frequencies of 1000 and 2000 appear as…

A: Question has three parts. Since you have not mentioned which part you are looking for, so we are…

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

Q: 2. Consider a linear time-invariant (LTI) system with input u(t) and output y(t), as shown in the…

A: Here, we have given a problem related to Linear time invariant system. Where, ut is the input of the…

Q: The impulse response, h[n], is defined as: Select one: The response DT LTI system to a unit impulse…

A: The impulse response, h[n] is defined as : The response DT LTI system to a unit impulse…

Q: (A) Two LTI sub-systems with individual impulse responses h1[n] and h2[n] are given below: h1[n] =…

A: We need to tell about causality and stability of given system and we need to tell the overall…

Q: • Discrete-Time Convolution: An LTI system that has an impulse response given by h[n] = u[n] – u[n –…

Q: (b) The input and output of a certain discrete time system are related by the linear constant…

Q: (A) Two LTI sub-systems with individual impulse responses h1[n] and h2[n] are given below: h1[n] =…

Q: Consider the system in cascade configuration described by h1(t) and h2(t). The equivalent system is…

A: Given information: h1t=2δt-3h2t=-3δt-1

Q: The input-output relationship of a stable and causal DZD system is defined by the following…

Q: 2- In the figure below, show that if F1 and F2 are LTI, and if x1 = x2, then y1 = Y2- -Show that by…

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

Q: Consider the system in cascade configuration described by h (t) and h2(t). The equivalent system is…

A: Given two h1t and h2t we can use convolution property of impulse function

Question

For the system:
y (n) = 5 x(n) + 5 y(n – 1), For n>0, y (-1) = 0,
1. Find the unit-impulse response
2. Determine the causality of the system
3. Determine the stability of the system
4. Write the output using the obtained impulse response.
5. For a step input x(n) = u(n), verify and compare the output responses for the first three
output samples using the difference equation and digital convolution sum

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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

a) h[n] = {-1,1,2,-3,4}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,-2,5,3,4} is applied to the system. b) 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.
2.a: An LTI system has an impulse response described in figure. Is the system causal and stable? (The answer should be, that the system is not causal, because the impulse response is left-sided. The system is unsatbke. But my problem is: - When is the system right sided or left sided? - When is the system stable or not stable? - Please explain why, because I really do not understand!)
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:)
Could you answer the d and e parts 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?
Two LTI systems with individual impulse responses h1[n] and h2[n] given below h1[n] = [2,2, -10, 7, 15], -3≤n≤1 h2[n] = [-2, 0, 0, 8, 2, 6], 0≤n≤5 Find the following: (a) The overall impulse response when the two systems are connected in cascade. (b) The overall impulse response when the two systems are connected in parallel. (c) Test the causality and stability of the two new systems produced in (a) and (b) steps.
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?
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?
Determine the system impulse response below:
Assuming that the LTI system shown in the figure below is non-causal: (i) Specify the ROC. (ii) Is this system stable? (iii) Determine the impulse response of the system.
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)
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
Consider the following second-order difference equation: y[n] + 1.4y[n − 1] + 0.45y[n − 2] = x[n] − x[n − 1] with an input of x[n] = 0.1nu[n] and initial conditions y[−1] = 0 and y[−2] = 1. Determine the: 1. characteristic equation and its roots 2. particular solution 3. impulse response 4. zero-input response 5. zero-state response 6. total response