1) An input signal x(t)=e -2«-1) u(t-1) is applied to an LTI system with impulse response h(t) = 4&1) + e -' u(t). Calculate the output y(t), using the Laplace transform properties. I this system, causal, stable, IIR/FIR? Is the output, causal, stable ? x(t) LTI System y(1) H(s)
1) An input signal x(t)=e -2«-1) u(t-1) is applied to an LTI system with impulse response h(t) = 4&1) + e -' u(t). Calculate the output y(t), using the Laplace transform properties. I this system, causal, stable, IIR/FIR? Is the output, causal, stable ? x(t) LTI System y(1) H(s)
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...
Related questions
Concept explainers
Three-Phase Transformers
Three-segment transformers are a type of transformer used to transform voltages of electrical systems into three ranges. Two type transformers are shell-type transformer and core type transformer. In brief, it could be described because of the exquisite kinds of configurations.
Transformer
Ever since electricity has been created, people have started using it in its entirety. We see many types of Transformers in the neighborhoods. Some are smaller in size and some are very large. They are used according to their requirements. Many of us have seen the electrical transformer but they do not know what work they are engaged in.
Question
Question 1 please
Transcribed Image Text:1)
An input signal x(1)=e -2«-1) u(t-1) is applied to an LTI system with impulse response
h(t) = 48(1) + e -' u(t). Calculate the output y(t), using the Laplace transform properties. Is
this system, causal, stable, IIR/FIR? Is the output, causal, stable ?
x(t)
LTI System
y(t)
H(s)
Figure 1.
2)
Transfer function of a linear, time invariant and stable system is given as :
1
H(s) =-
g² – 8s + R
a) Draw the pole-zero diagram and define the Region of Convergence (ROC) for R=-9 and R=12.
b) Calculate the impulse response h(t) of the system for R=-9 and R=12 .
c) Investigate whether this system is causal, FIR/IIR for each R value given above?
d) x(t) = 38(t) – e'u(-t) signal is applied to the input of this system when R=-9. Calculate the
output of the system, y(t) using Laplace transform properties.
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!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
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.Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,