A continuous-time LTI system has the input/output relationshipTy(t) = e-(t-1)x(2 – 1)daDetermine the impulse response h(t) of the system.Compute the output response y(t) when x(t) is given below:a.b.0 246 1

A continuous-time LTI system has the input/output relationship y(t) = e--1)x(2- 1)da Determine the impulse response h(t) of the system. Compute the output response y(t) when x (t) is given below: a. b. 2 0 2 4 6 1

A continuous-time LTI system has the input/output relationship y(t) = e--1)x(2- 1)da Determine the impulse response h(t) of the system. Compute the output response y(t) when x (t) is given below: a. b. 2 0 2 4 6 1

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: 13 A wireless channel is represented by y(t) = ax(t – T)+a³x(t – 3T) where 0 < a < 1 is the…

Q: The impulse response h(t) and the sign x(t) applied to the input of a linear system that does not…

Q: 3) a) For a system with impulse response 10(s + 5) (s- 1)(s – 2)(s + 1) H(s) = ROC:-1 <a<1 Find the…

Q: A continuous-time LTI system has the input/output relationship y(t) = etx(2 - 2)da y(t)%3D Determine…

A: Given: A continuous-time LTI system has the input/output relation as: yt=∫-∞te-txλ-2dλ To find: (a)…

Q: The input x(t) and the corresponding output y(t) of a linear, time-invariant system are shown as…

Q: 2. A system is described by the following ordinary differential equation: y + 3y + 5y + y = x + 4x +…

A: The transfer function is the Laplace transform of output to the input. so the transfer function can…

Q: Find the impulse response h(1) of the system described by the following differential equation. p(1)…

A: According to question: The impulse response is calculated as ∵dytdt+3yt=2dxtdtApplying Laplace…

Q: A LTIC system is specified by the equation (D2 + 4D + 3)y(t) = (D+5)x(t) %3D Find the zero-input…

A: Given LTIC system D2+4D+3y(t)=D+5x(t)y(0)=1y'(0)=1

Q: Consider a linear time invariant (LTI) system defined by the following differential equation dy(t)…

Q: Consider the continuous-time LTI system with impulse response h(t)=e–5t u(t-1) Calculate the output…

A: Given:ht=e-5t ut-1xt=3 0<t<10;0 otherwiseTo find:yt=xt*ht

Q: The input to a system with impulse response h(t) is x(t), both functions are given below. Find the…

A: Convolution Theorem: The convolution between two functions x(t) and h(t) are denoted as y(t) and…

Q: Q2. A zero initial conditions DSP system is described by y(1)=0.2x(1)+0.8y(n-1) 1- Find the system…

Q: The output y(t) of a causal LTI system is related to the input x(t) by the equation: dy(t) dt +…

A: According to question: The impulse response is calculated as Applying partial fraction, this will…

Q: The impulse response of an LTI system is h(t). The Laplace Transform of h(t) is 2 H(s) =+ . The…

A: The solution is given below

Q: 3. If two systems with impulse response h:(t) and h:(t) are cascaded as shown below, find the…

Q: (a) The input x(t) and system impulse response h(t) are given below. Determine the expression for…

Q: Homework 4 It is known that the differential equation of the system is d'y(t) +4 di dy(t) +3y(t) =…

Q: The digital signal processing system is given by the following difference equation. if x(n)=?(n)…

Q: Find the impulse response h(t) of the system described by the following differential equation. d d…

Q: Find the unit impulse response of LTIC system specified by the equation a) (D² + 6D + 9)y(t) = (2D…

Q: An LTI system has an impulse response h(t) for which the Laplace transform H(s is 1 H(s) = | h(t)e…

A: Given H(s)=1s+1x(t)=e-t2+2e-t3

Q: Question 5. A continuous-time, LTI system has the impulse response shown below. h(t) 7/2 -1 (1)r* If…

Q: Consider a continuous-time LTI system with the input signal and impulse response: x(t) = 4(u(t) -…

Q: 5. For a LTI system whose impulse response h(t) is plotted as below, h(t) 1/2 cycle of 2 sin mt Find…

Q: Find the unit impulse response of a system specified by the equation [(D^2)+4D+3]y(t) =…

A: In this question We need to Find the unit impulse response of a system specified by the equation…

Q: The input to a linear and time-invariant system is given by a(t) = 8(t – 0. 5) – 8(t – 1.5) If the…

A: When an input signal x(t) is passing through a Linear time invariant system h(t) then output of the…

Q: c) A continuous-time system is given by the differential equation, d²y(t) + 5 dt dy(t) + 6y(t) dx(t)…

Q: y(5) + 8y(4) + 9y"" + 12y" + 13y' – 10y = x" – 3x' + 2x y(5) + 4y(4) + 8y" + 10y" + 7y' + 5y = x" –…

Q: Question 1 A causal Linear Time-Invariant (LTI) system with impulse response has the following…

A: Brief description : Note : According to guidelines of the company since both the questions are of…

Q: 3. Consider an LTI system with the following transfer function: s+3 H(s) = %3D s² + 4s + 5 (a) If…

Q: 3. Consider a continuous-time LTI system described by 1 1+T/2 = ÷S"* :Sx(7)dr T-T/2 y(1) = T{x(1)}…

A: a) y(t)=1T∫t-T/2t+T/2xτdτ

Q: The input x(t) and system impulse response h(t) are given below. Determine the expression for the…

Q: The input and the output of a stable and causal LTI system are related by the differential equation…

Q: A. Plot the time domain response (t = 0 to 10 seconds) of the circuit below for the following input:…

A: A circuit diagram is given. The source is vt=3.3ut. We need to calculate the transfer function. And…

Q: Consider a continuous-time LTI system with impulse response, h(t) and input signal, x(t) as given…

A: A linear time-invariant system (LTI system) is a system that creates an output signal from any input…

Q: Evaluate the following continuous-time convolution integrals: (d) y(t) = (u(t + 3) – u(t – 1)) *…

Q: Compute and draw the output y(t) for a continuous-time LTI system whose impulse response h(t) and…

Q: the input x(t) to a linear time-invariant system and the impulse response h(t) of the system are…

A: Convolution Integral-Convolution is used to find the output of any LTI system for any orbitary…

Q: If two systems with impulse response h [n] and ha[n] are cascaded as shown below, find the impulse…

A: Convolution relates the output of LTI system with its input and impulse response. Convolution of…

Q: 2.52. The step response s(f) of a continuous-time LTI system is given by s(t) = [cos w,t]u(1) Find…

Q: The signal x(t) = 5 sin(100 Tt t) is sampled at 400 Hz, then applied to a FIR DSP system whose…

A: A system that is linear and time-invariant is called the LTI (linear time-invariant) system. If the…

Q: The differential equations below represent systems where x is the input and y is the output.…

Q: X(4) 1 t

A: The solution is given below

Q: The transfer function of a causal, linear and time-invariant system is given below. Calculate the…

Q: Feedback and Control Systems Determine the solution of the following differential equations using…

A: As per company guidelines we are supposed to answer only one question. Kindly repost other questions…

Q: Consider a Continuous-time LTI system for which input x(t) and output y(t) is related by…

Q: The convolution of a continuous system is given by y(t) = [_u(t – t)h(t)dr, Where u(t – t) is the…

A: Note: As per our policy, I have attempted the first three questions. Given data:…

Q: Given an input of r(t) = (1+t)1(t), a system's step response y(t) = (t + 0.9) – %3D 0.9e¬0.1t,t > 0.…

A: In this question, Input and output is given Find the transfer function? Transfer function is…

Q: b) By using convolution, find and piot tne response, y(t), of an LTI system to the input signal,…

Question

A continuous-time LTI system has the input/output relationship
T
y(t) = e-(t-1)x(2 – 1)da
Determine the impulse response h(t) of the system.
Compute the output response y(t) when x(t) is given below:
a.
b.
0 2
4
6 1

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Different Types of System and Its Property

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

The transfer function of a system is given by H(s) = 1/[s^2(s − 2)]. Find out the impulse response of the system if u(t) is used to denote the unit-step signal.
I need help with the question below Consider a causal LTI continuous system described by the differential equation y′′(t) + 3y′(t) + 2y(t) = x(t) where y(t) is the system output and x(t) is the input.1. Find the transfer function H(s) of the system.2. Find its poles and zeros. From its poles and zeros, determine if the system is BIBO stable or not.3. If x(t) = u(t) and initial conditions are zero, determine the steady-state response yss(t)4. If the initial conditions were not zero, would you get the same steady state?. Explain
When the unit step function is applied to the input of the system whose block diagram is given below, the output response takes the value c (0.2) = 0.11 for t = 0.2 s and c (infinity) = 0.333 for t = infinity. What is the steady-state error of the system? calculate.
Suppose an LTI system has impulse response h(t)=u(t+1)−u(t−1),and input x(t)=t[u(t−1)−u(t−6)]. Use graphical convolution method to determine the zero-state response. Do not use Laplace transform
A causal linear time-invariant continuous-time system has impulse response h(t) = e-t +sin(t) , t >= 0 Compute the output response for all t>=0 when the input is the unit-step function u(t).
The impulse response and input signal of a continuous-time LTI system is given by ℎ(t)= e-(t+1)u(t+1) and x(t)= -u(t)+u(t-4) respectively.Sketch h(t) and x(t).Compute the system response and sketch the output y(t).
Transfer function ? (?) =96 (? + 5) (? + 12)(? − 1) (? + 8) (? + 6)Find the unit impulse response of a system.By showing the zeros and poles of the system on the coordinate system, you can determine the stability of the system.
The impulse response function h (t) whose laplace transform H (s) is its value at t = 0?
Given the system, give the difference equation and the impulse response of the system, y(-1) = 2 y(-2)=1
Given a system with input x(t) and impulse response h(t) given by: x(t) = u(t) , h(t) = u(t) . Let y(t) be the output of the system. a) Find the equation of y(t) b) Sketch / Draw y(t)
When the unit step function is applied to the system input given the block diagram below, the output response takes the value c (0.2) = 0.11 fort = 0.2 s and c (infinity) = 0.333 for t = infinity. What is the steady-state error of the system? calculate
Consider the continuous-time signals depicted below. Evaluate the convolution integral: m(t) = f(t) * c(t)