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Fusion frame : ウィキペディア英語版
Fusion frame

In mathematics, a fusion frame of a vector space is a natural extension of a frame. It is an additive construct of several, potentially "overlapping" frames. The motivation for this concept comes from the event that a signal can not be acquired by a single sensor alone (a constraint found by limitations of hardware or data throughput), rather the partial components of the signal must be collected via a network of sensors, and the partial signal representations are then ''fused'' into the complete signal.
By construction, fusion frames easily lend themselves to parallel or distributed processing of sensor networks consisting of arbitrary overlapping sensor fields.
== Definition ==
Given a Hilbert space \mathcal, let \_, where \mathcal is an index set. Let \__ if there exist constants 0 < A \leq B such that for all f\in\mathcal we have
A\|f\|^2\leq\sum_f\big\|^2\leq B\|f\|^2,
where P_ denotes the orthogonal projection onto the subspace W_i.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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