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

Aperiodic correlation constraints on large binary sequence sets

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

2 Author(s)

The existence of binary sequences with specific aperiodic autocorrelation and cross correlation properties is investigated. Relationships are determined among the size of a sequence set, the length of the sequences n, the maximum autocorrelation sidelobe magnitudealpha, and the maximum cross correlation magnitudebeta. The principal result is the proof of the existence of sequence sets characterized by certain combinations ofn, alpha, andbeta. The proof makes use of a new lower bound to the expected size of sequence sets constructed according to an explicit "random coding" procedure. For largen, the sequence set size is controlled primarily by the cross correlation constraintbeta. Two consequences of the existence theorem are 1) a demonstration that large sequence sets exist for which the maximum autocorrelation sidelobe and cross correlation magnitudes vanish almost as fast as the inverse square root of the sequence length(l/sqrt{n}); 2)a new proof of the Gilbert bound of coding theory.

Published in:

Information Theory, IEEE Transactions on  (Volume:21 ,  Issue: 1 )

Date of Publication:

Jan 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.