Error theory for time-domain signal analysis with linear prediction and singular value decomposition

Barkhuijsen, H.; Beer, R. de; Ormondt, D. van

doi:10.1016/0022-2364(86)90446-4

Cited by 46 publications

(26 citation statements)

References 2 publications

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“…In signal processing, the Cramér-Rao bound (CRB) (1-3) on the variance of unbiased estimators is widely used as a measure of attainable precision of parameter estimates from a given set of observations (4). This paper enhances its usefulness for magnetic resonance spectroscopy quantitation.…”

Section: Introductionmentioning

confidence: 97%

Cramér-Rao Bound Expressions for Parametric Estimation of Overlapping Peaks: Influence of Prior Knowledge

Cavassila

Deval

Huegen

et al. 2000

Journal of Magnetic Resonance

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115

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Section: Introductionmentioning

confidence: 97%

Cramér-Rao Bound Expressions for Parametric Estimation of Overlapping Peaks: Influence of Prior Knowledge

Cavassila

Deval

Huegen

et al. 2000

Journal of Magnetic Resonance

Self Cite

115

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“…The algorithm implementation is user independent once the number of sinusoids contained in the signal is specified. The standard deviations of the parameters were estimated with the Cramer-Rao lower bounds [26]. The CK-catalyzed reaction rates were calculated as rate constants (k) times the PCr concentration (PCr/ NTP !…”

Section: Nmr Experimentsmentioning

confidence: 99%

Brain Creatine Kinase and Creatine Transporter Proteins in Normal and Creatine-Treated Rabbit Pups

Kekelidze

Khait²,

Togliatti³

et al. 2000

Dev Neurosci

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Systemic creatine (Cr) supplementation increases brain phosphocreatine (PCr) and prevents hypoxic seizures in 15-day-old rabbits . Between 5 and 30 days of age during normal development, rabbit gray matter mitochondrial creatine kinase (Mi-CK) increases 400% while cytosolic CK (BB-CK) increases 60%. In white matter, both isoenzymes show smaller, similar increases (40%) during this period. The Cr transporter protein decreases 60% between 5 and 15 days in both regions. In vivo CK rate constants measured by ³¹P nuclear magnetic resonance increase 30% between 10 and 20 days, and then fall 50% between 20 and 30 days in predominantly gray matter slices. Similar maturational changes are seen in predominantly white matter slices. Injecting Cr at 15 days does not significantly change BB-CK or Mi-CK isoenzymes or the in vivo CK reaction rate constants. Thus, the largest change in the CK system associated with suppression of hypoxic seizures in Cr-treated rabbits is increased PCr in gray and white matter.

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“…For example, for quite some time, singular value decomposition (SVD) has been developed to obtain linear prediction (LP) coefficients in NMR signal processing. 1,2 In recent years, noise elimination methods 3 and large solvent peak suppression methods 4,5 were developed using the basic properties of SVD. The SVD matrix A for a given NMR data can be represented by m × n dimensional elements as in equation (1), (1) where U and V are the square matrices carrying m × m and n × n dimensions, respectively.…”

Section: Introductionmentioning

confidence: 99%

Large Solvent and Noise Peak Suppression by Combined SVD-Harr Wavelet Transform

2003

Bulletin of the Korean Chemical Society

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By utilizing singular value decomposition (SVD) and shift averaged Harr wavelet transform (WT) with a set of Daubechies wavelet coefficients (1/2, -1/2), a method that can simultaneously eliminate an unwanted large solvent peak and noise peaks from NMR data has been developed. Noise elimination was accomplished by shift-averaging the time domain NMR data after a large solvent peak was suppressed by SVD. The algorithms took advantage of the WT, giving excellent results for the noise elimination in the Gaussian type NMR spectral lines of NMR data pretreated with SVD, providing superb results in the adjustment of phase and magnitude of the spectrum. SVD and shift averaged Haar wavelet methods were quantitatively evaluated in terms of threshold values and signal to noise (S/N) ratio values.

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Error theory for time-domain signal analysis with linear prediction and singular value decomposition

Cited by 46 publications

References 2 publications

Cramér-Rao Bound Expressions for Parametric Estimation of Overlapping Peaks: Influence of Prior Knowledge

Cramér-Rao Bound Expressions for Parametric Estimation of Overlapping Peaks: Influence of Prior Knowledge

Brain Creatine Kinase and Creatine Transporter Proteins in Normal and Creatine-Treated Rabbit Pups

Large Solvent and Noise Peak Suppression by Combined SVD-Harr Wavelet Transform

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