# 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 is the weighted mean of the input values at the adjacent moments of discrete time .

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

If to plot the weights against , 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 – 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.

Browse Other Glossary Entries

## Test Yourself

Planning on taking an introductory statistics course, but not sure if you need to start at the beginning? Review the course description for each of our introductory statistics courses and estimate which best matches your level, then take the self test for that course. If you get all or almost all the questions correct, move on and take the next test.

### Data Analytics

Considering becoming adata scientist, customer analyst or our data science certificate program?

Analytics Quiz

Statistics Quiz

### Statistics

Looking at statistics for graduate programs or to enhance your foundational knowledge?

Statistics 1 Quiz

Regression Quiz

Regression Quiz

### Biostatistics

Entering the biostatistics field? Test your skill here.

Biostatistics Quiz

Statistics 2 Quiz

### Stay Informed

Our Blog

Read up on our latest blogs

Certificates

Courses

Find the right course for you