Space and Norm Redundancies in Frame Theory

Author

Department of Mathematical Sciences,Shahid Bahonar University of Kerman

Abstract

Let f'm : m 2 Mg be a generalized frame in Hilbert space H with frame bounds 0 < A B < 1 and the analysis operator T : H ! L2( ). The paper studies the relation between
(space) redundancy (TH)? and (norm) redundancy A. Also, in case dimH < 1, the e
ect of
the redundancies on the reduction of the total energy of noise is studied.

Keywords


Volume 15, Issue 6 - Serial Number 6
Transactions on Computer Science & Engineering and Electrical Engineering (D)
December 2008
  • Receive Date: 21 December 2009
  • Revise Date: 22 December 2024
  • Accept Date: 21 December 2009