Symmetric tight frame with shifted wavelets

A. Farras Abdelnour

doi:10.1117/12.621775

17 September 2005 Symmetric tight frame with shifted wavelets

A. Farras Abdelnour

Proceedings Volume 5914, Wavelets XI; 59140H (2005) https://doi.org/10.1117/12.621775
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

As is well known, wavelet filterbanks in general do not allow for shift invariance due to the downsampling operation. In this paper we discuss the design of a tight frame symmetric filterbank {h0, h1, h2, h3}, with the requirement that h2 and h1 be identical within a shift by one sample, or we seek h2 (n) = h1(n-1). This results in the wavelets ψ1 and ψ2 related as ψ2(t) = ψ1(t - 1/2).

Citation Download Citation

A. Farras Abdelnour "Symmetric tight frame with shifted wavelets", Proc. SPIE 5914, Wavelets XI, 59140H (17 September 2005); https://doi.org/10.1117/12.621775

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available