Signal Treatment and Signal Analysis in NMR


Book Description

Signal analysis and signal treatment are integral parts of all types of Nuclear Magnetic Resonance. In the last ten years, much has been achieved in the development of dimensional spectra. At the same time new NMR techniques such as NMR Imaging and multidimensional spectroscopy have appeared, requiring entirely new methods of signal analysis. Up until now, most NMR texts and reference books limited their presentation of signal processing to a short introduction to the principles of the Fourier Transform, signal convolution, apodisation and noise reduction. To understand the mathematics of the newer signal processing techniques, it was necessary to go back to the primary references in NMR, chemometrics and mathematics journals. The objective of this book is to fill this void by presenting, in a single volume, both the theory and applications of most of these new techniques to Time-Domain, Frequency-Domain and Space-Domain NMR signals. Details are provided on many of the algorithms used and a companion CD-ROM is also included which contains some of the computer programs, either as source code or in executable form. Although it is aimed primarily at NMR users in the medical, industrial and academic fields, it should also interest chemometricians and programmers working with other techniques.













Numerical Bayesian Methods Applied to Signal Processing


Book Description

This book is concerned with the processing of signals that have been sam pled and digitized. The fundamental theory behind Digital Signal Process ing has been in existence for decades and has extensive applications to the fields of speech and data communications, biomedical engineering, acous tics, sonar, radar, seismology, oil exploration, instrumentation and audio signal processing to name but a few [87]. The term "Digital Signal Processing", in its broadest sense, could apply to any operation carried out on a finite set of measurements for whatever purpose. A book on signal processing would usually contain detailed de scriptions of the standard mathematical machinery often used to describe signals. It would also motivate an approach to real world problems based on concepts and results developed in linear systems theory, that make use of some rather interesting properties of the time and frequency domain representations of signals. While this book assumes some familiarity with traditional methods the emphasis is altogether quite different. The aim is to describe general methods for carrying out optimal signal processing.




Fast NMR Data Acquisition


Book Description

Providing a definitive reference source on novel methods in NMR acquisition and processing, this book will highlight similarities and differences between emerging approaches and focus on identifying which methods are best suited for different applications. The highly qualified editors have conducted extensive research into the fundamentals of fast methods of data acquisition in NMR, including applications of non-Fourier methods of spectrum analysis. With contributions from additional distinguished experts in allied fields, clear explanations are provided on methods that speed up NMR experiments using different ways to manipulate the nuclei in the sample, modern methods for estimating the spectrum from the time domain response recorded during an NMR experiment, and finally how the data is sampled. Starting with a historical overview of Fourier Transformation and its role in modern NMR spectroscopy, this volume will clarify and demystify this important emerging field for spectroscopists and analytical chemists in industry and academia.







Computational Approaches for Assessing Spectral Quality in NMR Spectroscopy


Book Description

Nuclear magnetic resonance spectroscopy is a powerful biophysical technique for characterizing biological macromolecules including determination of three-dimensional structure, dynamics, and ligand interactions. The advent of multidimensional NMR spectroscopy facilitated a surge of structural and dynamical investigations of biological macromolecules by yielding unmatched gains in resolution. Indeed, the biological applications of NMR depend on acquiring the best possible spectra with desirable features such as high signal-to-noise ratio and high resolution. Because such spectra must be obtainable in reasonable time frames, practical limitations, in particular prohibitive multidimensional experiment times, have restricted implementation of NMR spectroscopy for certain biological problems. To address this problem, numerous data acquisition and signal processing strategies have been developed. To reduce the burden of experiment duration, nonuniform sampling can be used for collection of higher dimensionality experiments in shorter time frames and also permits acquisition of longer evolution times along indirect dimensions to achieve higher resolution spectra. However, data acquired according to nonuniform sampling strategies is not amenable to conventional data processing techniques, namely the Fourier Transform and therefore non-Fourier methods are increasingly relied upon due to their ability to handle such data. The relative prowess of these novel techniques and data processing algorithms have yet to be compared in a systematic fashion. Part of the difficulty is that non-Fourier methods present unique challenges due to their nonlinearity, which can produce nonrandom noise and render conventional metrics for spectral quality such as signal-to-noise ratio unreliable. The in situ receiver operating characteristic analysis (IROC) is a workflow for making comparisons between NMR data acquisition strategies and processing algorithms that circumvents the traditional difficulties of spectral comparison. IROC analysis is based on the Receiver Operating Characteristic curve and utilizes synthetic signals added to empirical data and yields several robust quantitative metrics for spectral quality. In this work, the theoretical development, underlying algorithm, and practical potential of IROC analysis are first presented to show its ability to make quantitative comparisons of spectral quality in situations were other metrics fail. The IROC method is subsequently applied to experimental data to quantify the sensitivity and resolution that can be achieved through various nonuniform sampling schemes that each have different properties.




Signal Processing and Machine Learning Theory


Book Description

Signal Processing and Machine Learning Theory, authored by world-leading experts, reviews the principles, methods and techniques of essential and advanced signal processing theory. These theories and tools are the driving engines of many current and emerging research topics and technologies, such as machine learning, autonomous vehicles, the internet of things, future wireless communications, medical imaging, etc. Provides quick tutorial reviews of important and emerging topics of research in signal processing-based tools Presents core principles in signal processing theory and shows their applications Discusses some emerging signal processing tools applied in machine learning methods References content on core principles, technologies, algorithms and applications Includes references to journal articles and other literature on which to build further, more specific, and detailed knowledge