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№1 слайд![Overcoming line broadening in](/documents_6/3b01cb404a9b7c2283e71382de515a35/img0.jpg)
Содержание слайда: Overcoming line broadening in real-time pure shift NMR spectroscopy
Alexandra Shchukina, Krzysztof Kazimierczuk
University of Warsaw, Centre of New Technologies, Poland
Craig Butts, Ikenna Ndukwe
Bristol University, UK
№2 слайд![Overcoming line broadening in](/documents_6/3b01cb404a9b7c2283e71382de515a35/img1.jpg)
Содержание слайда: Overcoming line broadening in real-time pure shift NMR spectroscopy
...with what?
Alexandra Shchukina, Krzysztof Kazimierczuk
University of Warsaw, Centre of New Technologies, Poland
Craig Butts, Ikenna Ndukwe
Bristol University, UK
№3 слайд![Overcoming line broadening in](/documents_6/3b01cb404a9b7c2283e71382de515a35/img2.jpg)
Содержание слайда: Overcoming line broadening in real-time pure shift NMR spectroscopy
...with CS reconstruction!
Alexandra Shchukina, Krzysztof Kazimierczuk
University of Warsaw, Centre of New Technologies, Poland
Craig Butts, Ikenna Ndukwe
Bristol University, UK
№4 слайд![Pure shift NMR what for and](/documents_6/3b01cb404a9b7c2283e71382de515a35/img3.jpg)
Содержание слайда: Pure shift NMR: what for and how
Line broadening in real-time pure shift NMR
CS reconstruction as a remedy
Details of CS: the idea and its realization
Applications
№5 слайд![Pure shift NMR what for and](/documents_6/3b01cb404a9b7c2283e71382de515a35/img4.jpg)
Содержание слайда: Pure shift NMR: what for and how
Line broadening in real-time pure shift NMR
CS reconstruction as a remedy
Details of CS: the idea and its realization
Applications
№6 слайд![Pure shift NMR as a tool for](/documents_6/3b01cb404a9b7c2283e71382de515a35/img5.jpg)
Содержание слайда: Pure shift NMR as a tool for homodecoupling
№7 слайд![Selective pulses Spacially](/documents_6/3b01cb404a9b7c2283e71382de515a35/img6.jpg)
Содержание слайда: Selective pulses
Spacially selective
or
Frequency-selective
or
BIRD-based pulse sequences
...
№8 слайд![Pseudo- D and real-time pure](/documents_6/3b01cb404a9b7c2283e71382de515a35/img7.jpg)
Содержание слайда: Pseudo-2D and real-time pure shift NMR
№9 слайд![Line broadening with](/documents_6/3b01cb404a9b7c2283e71382de515a35/img8.jpg)
Содержание слайда: Line broadening with concatenation
№10 слайд![Line broadening with](/documents_6/3b01cb404a9b7c2283e71382de515a35/img9.jpg)
Содержание слайда: Line broadening with concatenation
№11 слайд![Compressed Sensing basic idea](/documents_6/3b01cb404a9b7c2283e71382de515a35/img10.jpg)
Содержание слайда: Compressed Sensing – basic idea
A signal, which is sparse in some representation, can be undersampled (skip measurements) and then reconstructed mathematically
№12 слайд![Compressed Sensing basic idea](/documents_6/3b01cb404a9b7c2283e71382de515a35/img11.jpg)
Содержание слайда: Compressed Sensing – basic idea
A signal, which is sparse in some representation, can be undersampled (skip measurements) and then reconstructed mathematically
for NMR: spectrum
(Fourier transform of FID)
№13 слайд![Compressed Sensing basic idea](/documents_6/3b01cb404a9b7c2283e71382de515a35/img12.jpg)
Содержание слайда: Compressed Sensing – basic idea
A signal, which is sparse in some representation, can be undersampled (skip measurements) and then reconstructed mathematically
for NMR: spectrum
(Fourier transform of FID)
№14 слайд![Compressed Sensing basic idea](/documents_6/3b01cb404a9b7c2283e71382de515a35/img13.jpg)
Содержание слайда: Compressed Sensing – basic idea
A signal, which is sparse in some representation, can be undersampled (skip measurements) and then reconstructed mathematically
Full sampling: (full system),
– inverse Fourier transform, – spectrum, – FID
№15 слайд![Compressed Sensing basic idea](/documents_6/3b01cb404a9b7c2283e71382de515a35/img14.jpg)
Содержание слайда: Compressed Sensing – basic idea
A signal, which is sparse in some representation, can be undersampled (skip measurements) and then reconstructed mathematically
Full sampling: (full system),
– inverse Fourier transform, – spectrum, – FID
Undersampling: (undetermined system)
№16 слайд![Compressed Sensing basic idea](/documents_6/3b01cb404a9b7c2283e71382de515a35/img15.jpg)
Содержание слайда: Compressed Sensing – basic idea
A signal, which is sparse in some representation, can be undersampled (skip measurements) and then reconstructed mathematically
Full sampling: (full system),
– inverse Fourier transform, – spectrum, – FID
Undersampling: (undetermined system)
CS reconstruction: subject to
(out of all possible FIDs choose the one which gives the sparsest
spectrum)
№17 слайд![Compressed Sensing basic idea](/documents_6/3b01cb404a9b7c2283e71382de515a35/img16.jpg)
Содержание слайда: Compressed Sensing – basic idea
A signal, which is sparse in some representation, can be undersampled (skip measurements) and then reconstructed mathematically
Full sampling: (full system),
– inverse Fourier transform, – spectrum, – FID
Undersampling: (undetermined system)
CS reconstruction: subject to
(out of all possible FIDs choose the one which gives the sparsest
spectrum)
Taking noise into account:
№18 слайд![Compressed Sensing basic idea](/documents_6/3b01cb404a9b7c2283e71382de515a35/img17.jpg)
Содержание слайда: Compressed Sensing – basic idea
A signal, which is sparse in some representation, can be undersampled (skip measurements) and then reconstructed mathematically
Full sampling: (full system),
– inverse Fourier transform, – spectrum, – FID
Undersampling: (undetermined system)
CS reconstruction: subject to
(out of all possible FIDs choose the one which gives the sparsest
spectrum)
Taking noise into account:
№19 слайд![Compressed Sensing basic idea](/documents_6/3b01cb404a9b7c2283e71382de515a35/img18.jpg)
Содержание слайда: Compressed Sensing – basic idea
A signal, which is sparse in some representation, can be undersampled (skip measurements) and then reconstructed mathematically
Full sampling: (full system),
– inverse Fourier transform, – spectrum, – FID
Undersampling: (undetermined system)
CS reconstruction: subject to
(out of all possible FIDs choose the one which gives the sparsest
spectrum)
Taking noise into account:
Iterative solution → family of algorithms
№20 слайд![](/documents_6/3b01cb404a9b7c2283e71382de515a35/img19.jpg)
№21 слайд![](/documents_6/3b01cb404a9b7c2283e71382de515a35/img20.jpg)
№22 слайд![](/documents_6/3b01cb404a9b7c2283e71382de515a35/img21.jpg)