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- Reconstruction_from_zero_crossings abstract "The problem of reconstruction from zero crossings can be stated as: given the zero crossings of a continuous signal, is it possible to reconstruct the signal (to within a constant factor)? Worded differently, what are the conditions under which a signal can be reconstructed from its zero crossings?This problem has 2 parts. Firstly proving that there is a unique reconstruction of the signal from the zero crossings and secondly how to actually go about reconstructing the signal. Though there have been quite a few attempts before, no conclusive solution has been found. Ben Logan from the Bell laboratories wrote a paper in 1977 in the Bell Systems Technical Journal giving some criteria under which unique reconstruction is possible. Though this has been a major step towards the solution, many people are dissatisfied with the type of condition which results from his paper. According to Logan a signal is uniquely reconstructible from its zero crossings if:The signal x(t) and its Hilbert transform xt have no zeros in common with each other.The frequency domain representation of the signal is at most 1 octave long, in other words, it is bandpass-limited between some B and 2B.".
- Reconstruction_from_zero_crossings wikiPageExternalLink recon2dim_1985.pdf.
- Reconstruction_from_zero_crossings wikiPageID "2000394".
- Reconstruction_from_zero_crossings wikiPageRevisionID "574509181".
- Reconstruction_from_zero_crossings hasPhotoCollection Reconstruction_from_zero_crossings.
- Reconstruction_from_zero_crossings subject Category:Signal_processing.
- Reconstruction_from_zero_crossings comment "The problem of reconstruction from zero crossings can be stated as: given the zero crossings of a continuous signal, is it possible to reconstruct the signal (to within a constant factor)? Worded differently, what are the conditions under which a signal can be reconstructed from its zero crossings?This problem has 2 parts. Firstly proving that there is a unique reconstruction of the signal from the zero crossings and secondly how to actually go about reconstructing the signal.".
- Reconstruction_from_zero_crossings label "Reconstruction from zero crossings".
- Reconstruction_from_zero_crossings sameAs m.06d1cs.
- Reconstruction_from_zero_crossings sameAs Q7302791.
- Reconstruction_from_zero_crossings sameAs Q7302791.
- Reconstruction_from_zero_crossings wasDerivedFrom Reconstruction_from_zero_crossings?oldid=574509181.
- Reconstruction_from_zero_crossings isPrimaryTopicOf Reconstruction_from_zero_crossings.