Do not display this message again
Close window
Zero Padding a Signal to More Accurately Estimate Amplitudes from a DFT - Maple Application Center
Contact Maplesoft
Request Quote
Products
Maple
Powerful math software that is easy to use
• Maple for Academic
• Maple for Students
• Maple Learn
• Maple Calculator App
• Maple for Industry and Government
• Maple Flow
• Maple for Individuals
Maple Add-Ons
• E-Books & Study Guides for Students
• Maple Toolboxes
• MapleNet
• Free Maple Player
MapleSim
Advanced System Level Modeling
• MapleSim
• MapleSim for Digital Twins
• MapleSim for Education
MapleSim Add-Ons
• Add-on Component Libraries
• MapleSim Connectors
• MapleSim Explorer
• MapleSim Insight
• MapleSim Server
• MapleSim Modelica Engine
Systems Engineering
• MapleMBSE
Consulting Services
• Engineering Services
• Training
• Turnkey Solutions
Maple T.A. and Möbius
Looking for Maple T.A. or Möbius?
DigitalEd, a Maplesoft technology partner, now offers these products. Learn more.
Solutions
Education
• Mathematics Education
• Engineering Education
• High Schools & Two-Year Colleges
• Students
• Remote Learning Resources
Industries
Automotive and Aerospace
• Electric & Hybrid-Electric Vehicles
• Powertrain
• Vehicle Dynamics
• Heavy Vehicles
• Aircraft Systems
• Space Systems
Robotics
• Robotics Research
• Motion Control/Mechatronics
Machine Design & Industrial Automation
• Machine Design
• Manufacturing
• Mining & Oil Production Equipment
Other
• Power Industries
• Finance
• Medical Devices
• Life Sciences
Application Areas
• Power Systems Engineering
• Electrical Engineering Calculations
• Mechanical Engineering Calculations
• System Simulation & Analysis
• Digital Twins/Virtual Commissioning
• Battery Modeling and Design
• Heat Transfer Modeling
• Dynamic Analysis of Mechanisms
• Calculation Management
• Model-Based Systems Engineering
• Model development for HIL
• Vibration Analysis & Attenuation
Purchase
Product Pricing
• Maple
• MapleSim
• Add-Ons and Connectors
• Request a Quote
Purchasing
• Purchase & Download Immediately
• Upgrade to the Latest Version
• Contact Sales
Institutional Student Licensing
• Virtualization
• Student Licensing & Distribution Options
Maplesoft Elite Maintenance (EMP)
• EMP Overview
• EMP FAQ
Support & Resources
Support
• Tech Support & Customer Service
• Frequently Asked Questions
• Product Documentation
• Download Product Updates
Product Training
• Student Help Center
• Online Product Training
• On-Site Training
Online Product Help
• Maple Online Help
• MapleSim Online Help
Webinars & Events
• Live Webinars
• Recorded Webinars
• Upcoming Events
Publications
• Technical Whitepapers
• E-Mail Newsletters
• Maple Books
• Math Matters
Content Hubs
• Teacher Resource Center
• Student Help Center
• Remote Learning Resources
Examples & Applications
• Maple Application Center
• MapleSim Model Gallery
• User Case Studies
• Exploring Engineering Fundamentals
• Teaching Concepts with Maple
Community
• MaplePrimes
• MapleCloud
• Maple Conference
Company
About Maplesoft
• Company Overview
• Management
• Customers
• Partnerships and OEM Opportunities
Media Center
• Media Releases
• User Case Studies
• Media Coverage
User Community
• MaplePrimes
• Maple Ambassador Program
• Maple Conference
Contact
• Global Contact Details
• Careers
Home
Products
Maple
Maple Add-Ons
Maple Learn
Maple Calculator App
MapleSim
MapleSim Add-Ons
System Engeneering
Consulting Services
Online Education Products
Solutions
Education
Industries
Application Areas
Purchase
Product Pricing
Purchasing
Institutional Student Licensing
Maplesoft Elite Maintenance (EMP)
Support & Resources
Support
Product Training
Online Product Help
Webinars & Events
Publications
Content Hubs
Examples & Applications
Community
Company
About Maplesoft
Media Center
User Community
Contact
Toggle navigation
Sign in
Register
Submit your work
Application Center
Applications
Zero Padding a Signal to More Accurately Estimate Amplitudes from a DFT
Zero Padding a Signal to More Accurately Estimate Amplitudes from a DFT
Author
:
Samir Khan
0
Download
PDF Preview
This Application runs in Maple.
Don't have Maple? No problem!
Try Maple free for 15 days!
You can use a discrete Fourier transform (DFT) to identify the amplitude of a sinusoidal signal. Given a signal with N samples and a sample rate of Fs, the frequency spacing of its DFT is Fs/N. An amplitude at a frequency that falls in a DFT bin can be accurately estimated.
But what if a signal frequency falls between DFT bins? Its energy will be shared between the adjacent bins, and its amplitude will not be accurately identified.
One possible solution to better amplitude estimation is zero padding the time domain signal. If you zero-pad the signal, the value of N increases, and the frequency spacing of the DFT decreases. For example, if you double the time-domain signal with zero-padding, the frequency spacing decreases by a factor of two.
This is not a magical way of increasing the sampling rate, or injecting more data. Zero-padding in the time domain is simply equivalent to sinc interpolation of the DFT.
In this application, we will
generate a sinusoidal signal with three frequencies at three amplitudes (one frequency will fall in a DFT bin, but two won't)
use a DFT to estimate the signal amplitudes
zero-pad the original signal
use a DFT of the zero-padded signal to again estimate the amplitudes
You will see that zero-padding the signal results in better amplitude estimation.
Application Details
Publish Date
:
August 17, 2020
Created In
:
Maple 2020
Language
:
English
Share
Copy URL
Tweet
This app is not in any
Collections
Add to a Collection
You must be logged in to add to a collection
Tags
signal-processing
More Like This
Analysis of a Refrigeration Cycle with CoolProp
Samir Khan
1
Editors Choice
chemical-engineering
heat-transfer
thermophysicaldata
Binary Distillation with the McCabe-Thiele Method
Samir Khan
7
chemical-engineering
Flow Between Two Tanks Assisted by a Pump
Samir Khan
11
Editors Choice
engineering
chemical-engineering
fluid-dynamics
hydraulics
Portfolio Optimization with the Omega Ratio
Samir Khan
1
Editors Choice
finance
globaloptimization
linear-programming
Spectogram Generator
Samir Khan
0
Editors Choice
electrical
signal-processing
Interacting Tank Reservoirs
Samir Khan
2
chemical-engineering
fluid-dynamics
Optimising Asset Allocation by Maximising the Sharpe Ratio
Samir Khan
1
finance
The Countdown Numbers Game
Samir Khan
1
Liquid Flow Through a Pump
Samir Khan
7
differential-equation
fluid-dynamics
Pricing European Call Options with FFTs
Samir Khan
0
signal-processing
finance
fft
Automatic Optimization of Controller
Samir Khan
2
optimization
optimization
chemical-engineering
Optimize the Flight Path of a Pan-US Delivery Drone
Samir Khan
2
Editors Choice
graph-theory
sqlite
travelling-salesman-problem
×
Create a Collection
Name:
Description (optional):
Collections
×
Collections are user-defined, publicly available groups of applications. Add applications to your own Collections, and share them with other Maple users.