Pseudoinverse matrix methods for signal reconstruction from partial data

Hans Georg Feichtinger

doi:10.1117/12.50390

1 November 1991 Pseudoinverse matrix methods for signal reconstruction from partial data

Hans Georg Feichtinger

Proceedings Volume 1606, Visual Communications and Image Processing '91: Image Processing; (1991) https://doi.org/10.1117/12.50390
Event: Visual Communications, '91, 1991, Boston, MA, United States

Abstract

The usefulness of the concept of a pseudo-inverse matrix to problems in signal processing is emphasized. It is shown how pseudo-inverse matrices can be used to describe the projection of a signal onto the subspace generated by a finite family of basis signals, which need not be linear independent. The connection to the theory of frames, the one-step POCS method, and Cunningham projection onto repetitive bases are explained, among others.

Citation Download Citation

Hans Georg Feichtinger "Pseudoinverse matrix methods for signal reconstruction from partial data", Proc. SPIE 1606, Visual Communications and Image Processing '91: Image Processing, (1 November 1991); https://doi.org/10.1117/12.50390

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