We construct a $dtimes n$ matrix, $nge d$, whose columns have equal length and whose rows are orthonormal. This is equivalent to finding an isometric tight frame of $n$ vectors in $Rd$ (or $Cd$), or writing the $dtimes d$ identity matrix $I={dover n}sum_{i=1}^n P_i$, where the $P_i$ are rank $1$ orthogonal projections. %where the $P_i$ are orthogonal projections onto $1-$dimensional subspaces. |
Keywords
Isometric tight frame, normalised tight frame, uniform tight frame
Math Review Classification
Primary 42C15
; Secondary 52B15, 42C40
Last Updated
29 May 2002
Length
7 pages
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