Frame (linear algebra)
Similar to the basis of a vector space, but not necessarily linearly independent / From Wikipedia, the free encyclopedia
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This article is about a generalization of bases to linearly dependent sets of vectors. For other uses of "frame" in mathematics, see Frame (disambiguation) § Mathematics and physics.
In linear algebra, a frame of an inner product space is a generalization of a basis of a vector space to sets that may be linearly dependent. In the terminology of signal processing, a frame provides a redundant, stable way of representing a signal.[1] Frames are used in error detection and correction and the design and analysis of filter banks and more generally in applied mathematics, computer science, and engineering.[2]