Cart (Loading....) | Create Account
Close category search window

Signal representation with triangular basis functions

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $31
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Green, D.N. ; TRW Systems Group, Redondo Beach, USA ; Bass, S.C.

The set of harmonically-related nonorthogonal triangle waves is shown to form a basis spanning the same function space representable by Fourier (trigonometric) series. The triangle function set is, further, equivalent to the trigonometric series in important convergence-completeness properties. The weights of this series, and the weights of the finite series having minimum mean-square error, are calculated directly without resort to optimisation or other iterative techniques. This basis function set is most attractive for digital signal representation because these functions can be conveniently generated in a digital context. Unused `time slots¿ of time-shared digital filter sections are also easily diverted to real-time signal representation. Thus, depending on the application, triangle waves can provide ease of implementation while maintaining the convergence properties of trigonometric series. For coding applications, continuous-time and discrete-time triangular transforms for aperiodic and sampled signals can be enunciated. Several laboratory and computer-generated examples are given.

Published in:

Electronic Circuits and Systems, IEE Journal on  (Volume:3 ,  Issue: 2 )

Date of Publication:

March 1979

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.