Frame (linear algebra)

Known as: Frame, Frames (signal processing), Frame of a vector space

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…

Papers overview

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2014

A frame which can generate a Parseval frame by rescaling its frame vectors is called scalable.In this paper,we first establish…

2013

Sparse signals can be reconstructed from far fewer samples than those that were required by the Shannon sampling theorem, if…

2011

This paper develops GMRA-based construction procedures of Parseval framelets in the setting of reducing subspaces of L2(ℝd). A…

2011

Compressed sensing is a novel technique where one can recover sparse signals from the undersampled measurements. In this paper, a…

2007

Abstract Given an arbitrary finite sequence of vectors in a finite-dimensional Hilbert space, we describe an algorithm, which…

2006

A construction for providing single dyadic orthonormal wavelets in Euclidean space ℝd is given. It is called the general…

2006

Since the discovery in the early 1950’s, frames have emerged as an important tool in signal processing, image processing, data…

2005

Multiple description codes generated by quantized frame expansions have been shown to perform well on erasure channels when…

1996

We study the fundamentals of time-varying filter banks (TVFB). Using a polyphase approach to TVFBs, we are able to show some…

1993

A new approach to the characterization of texture properties at multiple scales using an overcomplete wavelet transform is…