Journal of East China Normal University(Natural Sc ›› 2009, Vol. 2009 ›› Issue (1): 22-27.

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Algorithm of optimal constructing unit-norm tight frame (Chinese)

XIN You-ming, CHENG Zun-shui , XING Jian-min   

  1. School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao Shandong 266042, China
  • Received:2008-03-24 Revised:2008-06-01 Online:2009-01-25 Published:2009-01-25
  • Contact: XING Jian-min

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Abstract: Let $\{f_i\}_{i=1}^{M}$ be unit-norm vectors in $\CN$.
This paper introduces an algorithm to construct a unit-norm tight
frame by adding minimum vectors $\{g_i\}_{i=1}^{K}$ to
$\{f_i\}_{i=1}^{M}$.

Key words: unit-norm tight frame, eigenvalue, tight frame, unit-norm tight frame, eigenvalue

CLC Number: