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th  - 1988 - 51st ENC Conference

th  - 1988 - 51st ENC Conference

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S<br />

Pascale Sole*, a b<br />

Frank Delaglio, a'<br />

George C. Levy, b<br />

I<br />

CONSTRAINED DECONVOLUTION OF 2D NMR SPECTRA AND IMAGES<br />

a<br />

b New Me<strong>th</strong>ods Research, Inc., 719 E. Genesee Street, Syracuse, NY 13210<br />

Syracuse University, Department of Chemistry, Syracuse, NY 13210<br />

We have been examining a fast constrained deconvolution me<strong>th</strong>od used to<br />

achieve better resolution in 2D spectra and images. The me<strong>th</strong>od uses<br />

estimates of <strong>th</strong>e noise mean and variance in conjunction wi<strong>th</strong> a<br />

criterion of spectral quality to reconstruct <strong>th</strong>e 'best' result. The<br />

quality criterion is a smoo<strong>th</strong>ness constraint, such as <strong>th</strong>e minimization<br />

of <strong>th</strong>e second derivative amplitude or a maximization of <strong>th</strong>e entropy of<br />

<strong>th</strong>e spectrum. Bo<strong>th</strong> approaches are illustrated and compared.<br />

We show <strong>th</strong>at <strong>th</strong>e use of a Taylor approximation in <strong>th</strong>e derivation of<br />

<strong>th</strong>e maximum entropy deconvolution filter allows an implementation much<br />

faster <strong>th</strong>an conventional iterative techniques. The measured spectrum<br />

is modeled as <strong>th</strong>e sum of a 2D random noise process and an ideal<br />

spectrum convolved wi<strong>th</strong> a generalized point spread function. Spectral<br />

lineshape parameters can be used to choose an appropriate point spread<br />

function. Once <strong>th</strong>is convolution function is chosen, <strong>th</strong>e<br />

resolutlon-enhanced spectrum can be rapidly reconstructed using <strong>th</strong>e<br />

approximate form of <strong>th</strong>e entropy in an iterative Newton-Raphson scheme.--<br />

..<br />

6<br />

AUTOMATED HI ~E~I'kA MADE ON AN XL-300: George S!omp. The Upjohn<br />

. . .<br />

Company, Kalamazoo, MI 49001<br />

An automated program for preparing routine IH spectra is described. The progra~<br />

can run unattended saving much operator time, makes uniform spectra, and ~jnimizes<br />

human error. The program employs <strong>th</strong>ree levels of easily-modified MAGICAL "m macros and<br />

features"<br />

I. A wide variety of solvents are known and <strong>th</strong>e program corrects for <strong>th</strong>e<br />

ambiguous d7-DMF lock.<br />

2. Prompts ask for a title and o<strong>th</strong>er identification if desired.<br />

3. Escape is offered at potential trouble spots and resume is provided if manual<br />

interaction was taken.<br />

4. Current activity is always displayed.<br />

5. Output is identified wi<strong>th</strong> title, date, event time, me<strong>th</strong>od of referencing,<br />

ignored intense peaks and broad downfield lines.<br />

6. The f.i.d, is saved on a floppy.<br />

Spectra are referenced to ~.IS, solvent, or by default and <strong>th</strong>en <strong>th</strong>ey are scaled<br />

vertically ignoring solvent, TMS, and unimportant intense lines. Threshold for <strong>th</strong>e<br />

line list is offered at 3X noise level or if ignored it will iterate to a maximum of<br />

88 lines, or less for small molecules. The spectrum, integral, parameters, title, and<br />

o<strong>th</strong>er information are plotted on II x 17 blank paper using an HP7550 at a standard<br />

wid<strong>th</strong> of IOPPM. Broad downfield peaks are inset at left of plot.<br />

Potential troubles and <strong>th</strong>eir remedy will be illustrated.<br />

100

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