The main advantage of wavelet transform relative to its Fourier analysis counterpart is its suitability to deal with transient signals. Furthermore, wavelet packet transform has very good frequency analytic ability with the result that it is developing in very fast speed and widespread researched and used in industry and academia. We study the characteristics of fiber optic sensors by applying wavelet transform. Hence, in this paper, the traditional Fourier analysis is taken as a basis, and the wavelet packet analysis is taken as a comparison. The major objects include: (1) calibration of hydrophones; (2) vibration measurement. In calibration of hydrophones, the experimental results show a 2.72 dB re V/£gPa inaccuracies and a 5.3 dB re V/£gPa standard deviation by Fourier analysis, but 0.5 dB inaccuracies and 1.6 dB re V/£gPa standard deviation by wavelet packet analysis. It shows that the wavelet packet analysis has better analytic ability than that of traditional Fourier analysis. In vibration measurement, we utilize FBG interferometers to measure stable vibration. The experimental results denote that wavelet packet analysis has excellent frequency analytic ability as Fourier analysis. Besides, in obtaining transient characteristic signals induced by falling stones, the results appear that wavelet packet analysis has better resolution and identification capability relative to Fourier analysis.

Même s'ils n'appartiennent pas a une classe de signaux bien définie, les signaux transitoires se retrouvent dans plusieurs domaines pratiques très différents (comme les signaux médicaux et les signaux utilisés dans des systèmes de télécommunications), donc le développement des outils robustes et efficients pour faire leur analyse est un objectif important dans le traitement du signal. En particulier, cette thèse s'est concentrée surtout sur la résolution de quelques problèmes de traitement du signal posés par l'investigation ultrasonore de l'eau dans des conduites. Cependant, ce contexte applicatif a été utilisé seulement comme une base pour développer des outils génériques qui peuvent trouver leur utilité dans plusieurs d'autres applications. La thèse a abordé la question du traitement des signaux (transitoires) du point de vue du concept de récurrence dans l'espace des phases, qui est emprunté de la théorie des systèmes dynamiques. Nous avons montré que l'analyse du diagramme des recurrences (RPA) apporte dans le traitement du signal deux concepts importants : l'échantillon vectoriel, et la récurrence. L'utilisation de ces concepts nous a permis de généraliser et d'étendre des outils de traitement du signal bien connus, et aussi de construire des représentations de signal qui se sont révélées utiles dans des différentes tâches liées à la détection et à la caractérisation des transitoires. Essentiellement, dans cette thèse nous avons montré que la RPA peut être vue comme un cadre générique qui unifie dans une formulation commune des diverses outils bien connus dans le traitement du signal. En plus, elle généralise ces outils (à l'aide du concept des échantillons vectoriels) et les étend (en utilisant le concept de récurrence). / Although they do not belong to a very well defined class of signals, transient signals are found in many practical fields (from biological signals to signals used in telecommunication systems), so the development of robust and efficient tools for their analysis is an important objective in signal processing. In particular, this thesis was focused mainly on solving some signal analysis problems raised by the ultrasonic investigation of water in pipes. However, this applicative context was used only as a basis for developing generic tools that can find their usefulness in various other applications. The thesis addressed the issue of (transient) signal analysis from the perspective of the phase space recurrence concept, borrowed from dynamical systems theory. We showed that recurrence plot analysis (RPA) brings into the field of signal processing two important concepts: vector samples, and recurrence. The use of these concepts allowed us to generalize and extend well-known signal processing tools, as well as to build signal representations that proved to be useful in various tasks related to transient signal detection and characterization. Basically, in this thesis we have shown that RPA can be seen as a generic framework that unifies in a common formulation various well-known classic signal processing tools, which it generalizes (by using the concept of vector samples) and extends (by using the concept of recurrence).

An advanced laser-Doppler velocimeter is designed to acquire fully-resolved turbulence structural measurements in high Reynolds number two- and three-dimensional turbulent boundary layers. The new instrument combines, for the first time, new techniques allowing for the direct measurement of particle acceleration and sub-measurement-volume-scale position resolution so that second-order 3D particle trajectories may be measured at high repetitions. Using these measurements, several terms in the Reynolds stress transport equations may be directly estimated, giving new data for modeling and understanding the processes leading to the transport of turbulence in boundary layer flows. Due to the unique performance of the probe, many aspects of LDV instrumentation development were addressed. The LDV configuration was optimized for lowest uncertainties by considering the demanding applications of particle position and acceleration measurements. Low noise light detection and signal conditioning was specified for the three electronic channels. A high-throughput data acquisition system allows for exceptional burst rate acquisition. Signal detection and processing algorithms have been implemented which draw from previous techniques but also address distinctive problems with the current system. In short, the instrument was designed to advance the state-of-the-art in LDV systems. Measurements presented include turbulence dissipation rate and fluctuating velocity-pressure gradient correlations that have been measured in 2D and 3D turbulent boundary layers using the unique capabilities of the CompLDV--many of these measurements are the first of their kind ever acquired in high Reynolds number turbulent flows. The flat-plate turbulent boundary layer is studied at several momentum thickness Reynolds numbers up to 7500 to examine Reynolds numbers effects on terms such as the velocity-pressure gradient correlation and the dissipation rate in the Reynolds transport equations. Measurements are also presented in a pressure-driven three-dimensional turbulent boundary layer created upstream from a wing-body junction. The current results complement the extensive data from previous studies and provide even richer depth of knowledge on the most-completely-documented 3D boundary layer flow in existence. Further measurements include the wakes of three circular-cylinder protuberances submerged in a constant pressure turbulent boundary layer. / Ph. D.

Die vorliegende Arbeit stellt die Ergebnisse der methodologischen Entwicklung räumlich aufgelöster Analyse mittels Scanning Laserablation-ICP-Massenspektrometrie dar. Eine neue Behandlung zur Quantifizierung transienter analytischer Signale wurde für die Wiederherstellung von Konzentrationsprofilen vorgeschlagen. Die Anwendung der entwickelten Modelle auf die räumlich aufgelöste Analyse mittels LA-ICP-MS ermöglicht verbesserten Informationsgewinn und lässt dadurch eine höhere räumliche Auflösung erreichen. Die Anwendbarkeit der LA-ICP-MS für die räumlich aufgelöste Bestimmung der Stöchiometrie in supraleitenden Borokarbiden wurde untersucht. Der Einfluss apparativer Größen auf das analytische Signal wurde aufgeklärt, um die Messbedingungen zu optimieren. Zusätzlich wurden Fraktionierungseffekte untersucht, um die Ursache und deren Auswirkung auf die Analyse supraleitender Borokarbiden zu erklären. / This work represents the results of the methodological development of spatially resolved analysis by scanning laser ablation ICP mass spectrometry. A new approach to the quantification of transient analytical signals was proposed to reveal the concentration profile. An application of the developed models on spatially resolved analysis by LA-ICP-MS allows to gain more information from experimental data and hence to achieve better spatial resolution. The applicability of LA-ICP-MS to the spatially resolved determination of the stoichiometry of superconducting borocarbides was investigated. The effect of experimental parameters on analytical signals was elucidated in order to optimize the experimental conditions. In addition, fractionation effects were investigated to identify the causes for fractionation and their influence on the analysis of superconducting borocarbides.

Die vorliegende Arbeit stellt die Ergebnisse der methodologischen Entwicklung räumlich aufgelöster Analyse mittels Scanning Laserablation-ICP-Massenspektrometrie dar. Eine neue Behandlung zur Quantifizierung transienter analytischer Signale wurde für die Wiederherstellung von Konzentrationsprofilen vorgeschlagen. Die Anwendung der entwickelten Modelle auf die räumlich aufgelöste Analyse mittels LA-ICP-MS ermöglicht verbesserten Informationsgewinn und lässt dadurch eine höhere räumliche Auflösung erreichen. Die Anwendbarkeit der LA-ICP-MS für die räumlich aufgelöste Bestimmung der Stöchiometrie in supraleitenden Borokarbiden wurde untersucht. Der Einfluss apparativer Größen auf das analytische Signal wurde aufgeklärt, um die Messbedingungen zu optimieren. Zusätzlich wurden Fraktionierungseffekte untersucht, um die Ursache und deren Auswirkung auf die Analyse supraleitender Borokarbiden zu erklären. / This work represents the results of the methodological development of spatially resolved analysis by scanning laser ablation ICP mass spectrometry. A new approach to the quantification of transient analytical signals was proposed to reveal the concentration profile. An application of the developed models on spatially resolved analysis by LA-ICP-MS allows to gain more information from experimental data and hence to achieve better spatial resolution. The applicability of LA-ICP-MS to the spatially resolved determination of the stoichiometry of superconducting borocarbides was investigated. The effect of experimental parameters on analytical signals was elucidated in order to optimize the experimental conditions. In addition, fractionation effects were investigated to identify the causes for fractionation and their influence on the analysis of superconducting borocarbides.