Frame Domain Signal Processing: Framework and Applications

Besides basis expansions, frames representations play a key role in signal processing. We thus consider the problem of frame domain signal processing, which is more complex and challenging than transform domain processing. Examples of such processing abound, from overlap-add/save convolution, to frequency domain LMS, and frame magnitude reconstruction. We develop a unified view of all these situations by using a common Hilbert space view of the problem, and consider algorithms in this common framework. In addition to a synthetic view of multiple signal processing methods in frames, we derive several original results. This include a direct solution to spectral modification (which usually uses an iterative algorithm) and a unicity condition for reconstruction from frame coefficient magnitudes.


Published in:
2010 Ieee International Conference On Acoustics, Speech, And Signal Processing, 4094-4097
Presented at:
IEEE International Conference on Acoustics, Speech and Signal Porcessing, Dallas, Texas, USA, March 14-19, 2010
Year:
2010
Publisher:
Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa
ISBN:
978-1-4244-4296-6
Keywords:
Laboratories:




 Record created 2010-02-09, last modified 2018-03-17

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