Skip to primary navigation
Skip to main content
Skip to primary sidebar

ALLSIGNALPROCESSING.COM

Learn signal processing online

Home
Courses
Courses
About
FAQ
My Account
Blog
News
Contact
Login
Logout
Get All Access

Differential Equation Descriptions and System Characteristics

February 2, 2019 by 3200 Creative

Differential Equation Descriptions and System Characteristics

Time limit: 0

Quiz Summary

0 of 4 Questions completed

Questions:

Information

You have already completed the quiz before. Hence you can not start it again.

Quiz is loading…

You must sign in or sign up to start the quiz.

You must first complete the following:

Results

Quiz complete. Results are being recorded.

Results

0 of 4 Questions answered correctly

Your time:

Time has elapsed

You have reached 0 of 0 point(s), (0)

Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)

Categories

Not categorized 0%

1
2
3
4

Current
Review
Answered
Correct
Incorrect

Question 1 of 4

1. Question
If the input to a system described by a differential equation is $x(t)=1$ and the system transfer function is $H(s)$ , then the steady-state response is
- $H(-2)e^{-2t}$
- $H(1)e^{t}$
- $H(1)$
- $H(0)$
- can’t be determined from the information
Correct

Incorrect
Question 2 of 4

2. Question
If the input to a system described by a differential equation is a sinusoid of frequency $10$ Hz, then the steady-state response is
- a constant
- a sinusoid of frequency $10N$ Hz where $N$ is the order
- unknown
- a sinusoid of frequency $10$ Hz
- $ce^{-10t}$ where $c$ is a constant
Correct

Incorrect
Question 3 of 4

3. Question
A system described by a differential equation has characteristic equation roots $-2+j$ and $-2-j$ . What best describes the transient response?
- complex sinusoid
- exponentially damped sinusoid
- real exponential
- the system is unstable
- cannot be determined
Correct

Incorrect
Question 4 of 4

4. Question
The following are roots of the characteristic equation for different systems described by differential equations. Which system is likely to have the fastest transient response time?
- $-2+j, -2-j$
- $-10+j, -10-j$
- $-100j, 100j$
- $-0.1+j, -0.1-j$
- $-1+10j, -1-10j$
Correct

Incorrect

Filed Under: Uncategorized

Primary Sidebar

Course Lessons

Impulse Response and LTI Systems – Part II
Graphical Evaluation of Discrete-Time Convolution
Graphical Evaluation of Continuous-Time Convolution
Difference Equations: Solving System Responses with Stored Energy
Characteristics of Systems Described by Difference Equations
Differential Equations: Solving System Responses with Stored Energy
Characteristics of Systems Described by Differential Equations
Two-Dimensional Signal Processing: Discrete Space
Problems for Time Domain LTI Systems

Courses

Foundations
Time Domain LTI Systems
Fourier Series and Transforms
Sampling and Reconstruction
The DFT and Applications
The Z-Transform
Intro to Filter Design
IIR Filter Design
FIR Filter Design
Random Signal Characterization
Basis Representations of Signals
Estimation of Power Spectra and Coherence
Introduction to Signal Estimation and Detection Theory
MMSE Filtering and Least-Squares Problems

Copyright © 2023 ALLSIGNALPROCESSING.COM | Site Design by 3200 Creative

Terms of Service
Privacy Policy
Contact