Skip to content
Statistics logo
  • Courses
    • See All Courses
    • Calendar
    • Intro stats for college credit
    • Faculty
    • Group training
    • Credit & Credentialing
    • Teach With Us
  • Programs/Degrees
    • Certificates
      • Analytics for Data Science
      • Biostatistics
      • Programming For Data Science – Python (Experienced)
      • Programming For Data Science – Python (Novice)
      • Programming For Data Science – R (Experienced)
      • Programming For Data Science – R (Novice)
      • Social Science
    • Skillsets
      • Bayesian Statistics
      • Business Analytics
      • Healthcare Analytics
      • Marketing Analytics
      • Operations Research
      • Predictive Analytics
      • Python Analytics
      • R Programming Analytics
      • Rasch & IRT
      • Spatial Statistics
      • Survey Analysis
      • Text Mining Analytics
    • Undergraduate Degree Programs
    • Graduate Degree Programs
  • Partnerships
    • Higher Education
    • Enterprise
  • Resources
    • About Us
    • Blog
    • Word Of The Week
    • Newsletter signup
    • Glossary
    • Statistical Symbols
    • FAQs & Knowledge Base
    • Testimonials
    • Test Yourself
  • Student Login

Triangular Filter

Statistical Glossary

Triangular Filter:

The triangular filter is a linear filter that is usually used as a smoother . The output of the rectangular filter at the moment Math image is the weighted mean of the input values at the adjacent moments of discrete time Math image .

In contrast to the rectangular filter , the weights are not constant within the time "window" Math image , but decline linearly - the farther the time moment from Math image , the smaller the weight, and the time moments that are further than the half-size Math image of the filter window have zero weight.

If to plot the weights against Math image , then the plot looks like a symmetrical triangle. This explains the "triangular" in the name of this filter.

The triangular filter is completely defined by a single parameter Math image - the window size. The greater the parameter, the greater the degree of smoothing and, hence, the greater the suppression of higher frequencies.

As compared to the rectangular filter , the triangular filter provides better suppression of the higher frequencies and its output looks smoother.

See also the short course Time Series Forecasting .

Browse Other Glossary Entries

Courses Using This Term

Return to Glossary Search

About Statistics.com

Statistics.com offers academic and professional education in statistics, analytics, and data science at beginner, intermediate, and advanced levels of instruction. Statistics.com is a part of Elder Research, a data science consultancy with 25 years of experience in data analytics.

Our Links

  • Contact Us
  • Site Map
  • Explore Courses
  • About Us
  • Management Team
Menu
  • Contact Us
  • Site Map
  • Explore Courses
  • About Us
  • Management Team

Social Networks

Linkedin-in Twitter Facebook-f Youtube

Contact

The Institute for Statistics Education
2107 Wilson Blvd
Suite 850 
Arlington, VA 22201
(571) 281-8817

ourcourses@statistics.com

  • Contact Us
  • Site Map
  • Explore Courses
  • About Us
  • Management Team

© Copyright 2022 - Statistics.com, LLC | All Rights Reserved | Privacy Policy | Terms of Use

By continuing to use this website, you consent to the use of cookies in accordance with our Cookie Policy.

Accept