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

Synthesis of Periodic Sinusoids from Walsh Waves

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 $13
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

1 Author(s)

The Walsh expansion of a periodic sinusoid is an infinite series; however, if one synthesizes a sinusoid from a truncated Walsh expansion, the result is a stepped approximation to the sinusoid that has minimum mean-square error. The first 2m nonzero terms in the Walsh expansion yield a wave that has 2m steps per quarter-cycle. A notable feature of this wave is the wide separation between its harmonic pairs. For example, eight nonzero Walsh terms yield a wave whose only nonzero harmonics are the 31st and 33rd, the 63rd and 65th, etc., harmonic magnitudes being inversely proportional to frequency. Waves of this type are readily synthesized using a synchronous Walsh array generator with true and complement outputs, a level converter system, and a summing circuit.

Published in:

Instrumentation and Measurement, IEEE Transactions on  (Volume:24 ,  Issue: 4 )

Date of Publication:

Dec. 1975

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.