During the acquisition and transmission of images, it is important that the information is retained with the highest quality. Occasionally noise from various sources can corrupt an image. In this case, various image processing filtering techniques that are effective in removing noise can be used. Noise removal filters are designed to remove specific types of noise. However, they also degrade the image and detail is lost. This is particularly troublesome in cases where there is very little noise. A number of detail preserving filters have been proposed in the past, but most of the work was focused on monochrome images. With today's technological advancements, most of the images used are in full color, and detail preserving filters that have been designed for monochrome, cannot be directly applied for color. In this work, several detail preserving filters that have been designed to remove impulsive noise from color images are first surveyed and compared. We then consider the extension of detail preserving median filters to color images. At the end, we propose new filters that are capable of removing colored impulsive noise with minimum image degradation. Two user adjustable parameters can vary the strength of the filter for best results. Several comparisons with other previously proposed filters will be presented. Finally, in order to make the filter user friendly, an Adobe Photoshop plug-in is to be developed.

Ces travaux de thèse portent sur l‟étude de filtres « multi-fonctions » dont l‟objectif serait de réduire les dimensions des circuits réalisant les fonctions de filtrage dans les systèmes aéroportés. Ces travaux ont donc conduit à la réalisation de filtres large bande (2 – 18 GHz) réjecteurs développés en technologie MMIC utilisant la filière GaN, ainsi que des filtres large bande développés suivant la filière AsGa en technologie MMIC. Les différents filtres réjecteurs ont été conçus suivant deux principes :- Le premier basé sur une structure à résonateurs à lignes couplées. Les différents prototypes réalisés ont permis de montrer l‟accordabilité en fréquence grâce à une charge variable placée à l‟extrémité non court-circuité de la ligne couplée. Celle-ci peut être réalisée par une diode varactor ou par un transistor froid. Ces prototypes ont également permis de montrer la possibilité de fonctionner suivant un mode passe-tout ou un mode réjecteur par simple polarisation de transistors chargés à l‟extrémité de la ligne couplée.- Le second est basé sur l‟accordabilité de filtres actifs par commutation entre plusieurs canaux à l‟aide d‟une structure distribuée. Un prototype a été développé et réalisé en technologie AsGa. Cette structure permet à la fois une accordabilité en fréquences, ainsi qu‟en largeur de bande passante (par activation de plusieurs canaux de bandes passantes adjacentes), et une adaptation large bande. Cette structure réunit à la fois des fonctions d‟accordabilité en fréquences (entre 8,7 et 15,6 GHz) par polarisation d‟éléments actifs, ceux-ci permettant même d‟obtenir du gain (de l‟ordre de 10 dB). / The aim of this work is to study “multi-functions” filters with an objective to reduce the dimensions of the circuits used for filtering functions in airborne systems. This work allows to obtain wide band notch filters (from 2 to 18 GHz) developed in MMIC technology using theEtude de Filtres MMIC Hyperfréquences en Technologies GaN et AsGa. 152GaN process and wide band filters developed in GaAs technology. The notch filters have been realized with two principles:- The first one based on coupled lines resonators structure. The prototype manufactured allow to validate the frequency tunability thanks to a variable load placed at the end of the coupled line. This can be realized with a varactor diode or with a cold transistor. These prototypes allow also validating the possibility for the circuit to work as an “allpass” filter or as a notch filter by applying a bias voltage on the transistors placed at the end of the coupled line.- The second one is based on the tenability of active filters by commuting between several channels thanks to a distributed structure. A prototype has been developed and manufactured in GaAs technology. This structure allow a frequency tunability with also the possibility to tune the bandwidth (by activating seeral channels with edge bandwidth), and a wide band matching. This structure allows to obtain frequency tunability (between 8.7 and 15.6 GHz) by applying a bias voltage on the active elements which brin gain (around 10 dB).

PhD. thesis is deals about sekond order ARC filters for cascade synthezis of Active filters. Here are presented new configurations of second order filters with current conveyors usable for higher frequencies and new second order filters with current conveyors usable for electrical tunable filters. In PhD. Thesis are presented schematics and equations for new sekond order filters. There are presented also practical realizations of these filters and basic measure results.

Five-dimensional (5-D) light field video (LFV) (also known as plenoptic video) is a more powerful form of representing information of dynamic scenes compared to conventional three-dimensional (3-D) video. In this dissertation, the spectra of moving objects in LFVs are analyzed, and it is shown that such moving objects can be enhanced based on their depth and velocity by employing 5-D digital filters, what is defined as depth-velocity filters. In particular, the spectral region of support (ROS) of a Lambertian object moving with constant velocity and at constant depth is shown to be a skewed 3-D hyperfan in the 5-D frequency domain. Furthermore, it is shown that the spectral ROS of a Lambertian object moving at non-constant depth can be approximated as a sequence of ROSs, each of which is a skewed 3-D hyperfan, in the 5-D continuous frequency domain. Based on the spectral analysis, a novel 5-D finite-extent impulse response (FIR) depth-velocity filter and a novel ultra-low complexity 5-D infinite-extent impulse response (IIR) depth-velocity filter are proposed for enhancing objects moving with constant velocity and at constant depth in LFVs. Furthermore, a novel ultra-low complexity 5-D IIR adaptive depth-velocity filter is proposed for enhancing objects moving at non-constant depth in LFVs. Also, an ultra-low complexity 3-D linear-phase IIR velocity filter that can be incorporated to design 5-D IIR depth-velocity filters is proposed. To the best of the author’s knowledge, the proposed 5-D FIR and IIR depth-velocity filters and the proposed 5-D IIR adaptive depth-velocity filter are the first such 5-D filters applied for enhancing moving objects in LFVs based on their depth and velocity. Numerically generated LFVs and LFVs of real scenes, generated by means of a commercially available Lytro light field (LF) camera, are used to test the effectiveness of the proposed 5-D depth-velocity filters. Numerical simulation results indicate that the proposed 5-D depth-velocity filters outperform the 3-D velocity filters and the four-dimensional (4-D) depth filters in enhancing moving objects in LFVs. More importantly, the proposed 5-D depth-velocity filters are capable of exposing heavily occluded parts of a scene and of attenuating noise significantly. Considering the ultra-low complexity, the proposed 5-D IIR depth-velocity filter and the proposed 5-D IIR adaptive depth-velocity filter have significant potentials to be employed in real-time applications. / Graduate / 0544

The world went through weeks of financial turbulence in stock markets and investors were overcome by fears fuelled by more bad news, while countries continued their attempts to calm the markets with more injection of funds. By these very disturbed times, even if traders hope extreme risk aversion has passed, an investor would like predict the future of the market in order to protect his portfolio and a speculator would like to optimize his tradings. This thesis describes the design of numerical models and algorithms for the forecasting of financial time series, for speculation on a short time interval. To this aim, we will use two models: - " Price Forecasting Model " forecasts the behavior of an asset for an interval of three hours. This model is based on Functional Clustering and smoothing by cubic-splines in the training phase to build local Neural models, and Functional Classification for generalization, - " Model of Trading " forecasts the First Stopping time, when an asset crosses for the first time a threshold defined by the trader. This model combines a Price Forecasting Model for the prediction of market trend, and a Trading Recommendation for prediction of the first stopping time. We use an auto-adaptive Dynamic State Space Model, with Particle Filters and Kalman-Bucy Filters for parameter estimation.

Design of filters used in grid-connected inverter applications involves multiple constraints. The filter requirements are driven by tight filtering tolerances of standards such as IEEE 519-1992–IEEE Recommended Practices and Requirements for Harmonic Control in Electrical Power Systems and IEEE 1547.2-2008–IEEE Application Guide for IEEE Std 1547, IEEE Standard for Interconnecting Distributed Resources with Electric Power Systems. Higher order LCL filters are essential to achieve these regulatory standard requirements at compact size and weight. This objective of this thesis report is to evaluate design procedures for such higher order LCL filters. The initial configuration of the third order LCL filter is decided by the frequency response of the filter. The design equations are developed in per-unit basis so results can be generalized for different applications and power levels. The frequency response is decided by IEEE specifications for high frequency current ripple at the point of common coupling. The appropriate values of L and C are then designed and constructed. Power loss in individual filter components is modeled by analytical equations and an iterative process is used to arrive at the most efficient design. Different combinations of magnetic materials (ferrite, amorphous, powder) and winding types (round wire, foil) are designed and tested to determine the most efficient design. The harmonic spectrum, power loss and temperature rise in individual filter components is predicted analytically and verified by actual tests using a 3 phase 10 kW grid connected converter setup. Experimental results of filtering characteristics show a good match with analysis in the frequency range of interconnected inverter applications. The design process is stream-lined for the above specified core and winding types. The output harmonic current spectrum is sampled and it is established that the harmonics are within the IEEE recommended limits. The analytical equations predicting the power loss and temperature rise are verified by experimental results. Based on the findings, new LCL filter combinations are formulated by varying the net Lpu to achieve the highest efficiency while still meeting the recommended IEEE specifications. Thus a design procedure which can enable an engineer to design the most efficient and compact filter that can also meet the recommended guidelines of harmonic filtering for grid-connected converter applications is established.

Adaptive microwave systems can benefit from the use of low loss tunable microwave filters. Realizing these tunable filters that show low loss characteristics can be very challenging. The proper materials, tuning elements, and filter designs need to be considered when creating a low loss tunable filter. The integration of low loss microelectromechanical systems (MEMS) and superconducting circuits is one method of achieving these types of tunable filters. The thesis introduces new multi-layer low temperature superconducting (LTS) filters and diplexers and novel topologies for tunable filters and switched multiplexers. An efficient method of designing such filters is proposed. A fabrication process to monolithically integrate MEMS devices with high temperature superconducting (HTS) circuits is also investigated in this thesis. The reflected group delay method, usually used for filter tuning, is further developed for use in designing microwave filters. It is advantageous in the design of filters to have electromagnetic simulation results that will correlate well to the fabricated microwave filters. A correction factor is presented for use with the reflected group delay method so the group delay needs to be matched to the appropriate value at the center frequency of the filter and be symmetric about the center frequency of the filter. As demonstrated with an ideal lumped element filter, the group delay method can be implemented when a closed form expression for the circuit is not known. An 8-pole HTS filter design and an 8-pole multi-layer LTS filter design demonstrate the use of the reflected group delay method. Low temperature superconducting filters, couplers and diplexers are designed and fabricated using a multilayer niobium fabrication process traditionally used for superconducting digital microelectronics. The feasibility of realizing highly miniaturized microwave niobium devices allows for the integration of superconducting digital microelectronics circuits and analog microwave devices on a single chip. Microwave devices such as bandpass filters, lowpass filters, bandstop filters, quadrature hybrids, and resistive loads are all demonstrated experimentally. New tunable filter designs are presented that can make use of MEMS switches. A manifold-coupled switched multiplexer that allows for 2^N possible states is presented. The tunable multiplexer has N filters connected to two manifolds and has embedded switches, which detune certain resonators within the filters to switch between ON and OFF states for each channel. The new concept is demonstrated with a diplexer design and two 3-pole coplanar filters. The concept is further developed through test results of a fabricated HTS triplexer and electromagnetic simulations to demonstrate a superconducting manifold-coupled switched triplexer. Another filter design is presented that makes use of switches placed only on the resonators of the filters. This filter design has N possible states and the absolute bandwidth can be kept constant for all N states. Finally, the integration of HTS circuits and MEMS devices is investigated to realize low loss tunable microwave filters. The hybrid integration is first performed through the integration of an HTS microstrip filter and commercially available RF MEMS switches. A fabrication process to monolithically integrate MEMS devices and high temperature superconducting circuits is then investigated. The fabrication process includes a titanium tungsten layer, which acts as both a resistive layer and an adhesion for the dielectric layer, an amorphous silicon dielectric layer, a photoresist sacrificial layer, and the top gold layer. The fabrication process is built up on a wafer with a thin film of a high temperature superconducting material covered with a thin film of gold. Several processes are tested to ensure that the superconducting properties of the thin film are not affected during the MEMS fabrication process.

Smoothing is an important part of the pre-processing step in Signal Processing. A signal, which is purified from noise as much as possible, is necessary to achieve our aim. There are many smoothing algorithms which give good result on a stationary data, but these smoothing algorithms don&rsquo / t give expected result in a non-stationary data. Studying Acceleration data is an effective method to see whether the smoothing is successful or not. The small part of the noise that takes place in the Displacement data will affect our Acceleration data, which are obtained by taking the second derivative of the Displacement data, severely. In this thesis, some linear and non-linear smoothing algorithms will be analyzed in a non-stationary dataset.

Τα φίλτρα λογαριθμικού πεδίου (log-domain filters) είναι μια οικογένεια φίλτρων συνεχούς χρόνου στην οποία γίνεται χρήση της μη-γραμμικής I/V χαρακτηριστικής των ενεργών στοιχείων (BJT τρανζίστορ, MOSFET τρανζίστορ σε ασθενή αναστροφή) για να επιτευχθεί γραμμική συμπεριφορά από είσοδο σε έξοδο. Επιπρόσθετα τα log-domain φίλτρα, προσφέρουν και άλλα πλεονεκτήματα, όπως την ηλεκτρονική ρύθμιση της συχνότητας αποκοπής, την λειτουργία σε υψηλές συχνότητες και την δυνατότητα λειτουργίας με χαμηλή τάση τροφοδοσίας. Στην παρούσα διατριβή προτείνεται μια καινούρια τεχνική σχεδιασμού log-domain φίλτρων, η οποία στηρίζεται στη κυματική μέθοδο (log-domain wave filters). Με αυτή την τεχνική, log-domain φίλτρα μπορούν να σχεδιαστούν είτε με την χρήση των κυματικών παραμέτρων σκέδασης (wave scattering parameters), είτε με την χρήση κυματικών τερματιστών θύρας (wave port terminator). Έτσι αρχικά, προτείνονται δομές log-domain κυματικών φίλτρων με χρήση των κυματικών παραμέτρων σκέδασης. Σε αυτήν την προσέγγιση, το log-domain κυματικό ισοδύναμο ενός επαγωγού σε σειρά κλάδο μετασχηματίζεται από το γραμμικό στο λογαριθμικό πεδίο. Τα log-domain κυματικά ισοδύναμα των υπολοίπων βασικών στοιχείων του παθητικού πρωτοτύπου φίλτρου προκύπτουν από το κυματικό ισοδύναμο του επαγωγού σε σειρά κλάδο με την εναλλαγή των εξόδων του ή/και την προσθήκη αντιστροφέων τάσης. Χρησιμοποιώντας μια διαφορετική προσέγγιση, προτείνονται δομές log-domain κυματικών φίλτρων με χρήση του log-domain κυματικού τερμαστιστή θύρας. Με την χρήση του σχεδιάζεται το κυματικό ισοδύναμο στο log-domain ενός πυκνωτή σε παράλληλο κλάδο, το οποίο χρησιμοποιείται ως το βασικό κυματικό ισοδύναμο δομικό στοιχείο. Τα κυματικά ισοδύναμα των υπολοίπων στοιχείων του παθητικού κυκλώματος προκύπτουν με χρήση των παραπάνω κυματικών ισοδυνάμων. Τέλος γίνεται μελέτη της επίδρασης των μη-ιδανικών χαρακτηριστικών του BJT τρανζίστορ και της επίδρασης των θερμοκρασιακών μεταβολών στην συμπεριφορά των προτεινόμενων φίλτρων, ενώ προτείνονται μέθοδοι τόσο για την επιμέρους όσο και την συνολική αντιστάθμισή τους. / Log-domain filters are a family of continuous time filters that instead of being designed using locally linearized components, directly exploit the non-linear nature of a BJT, or a MOSFET transistor operating in weak inversion, in order to obtain a system with overall linear performance. This way they exhibit high linearity even for large signal to bias ratios. In addition they have some other interesting features like tunability and the ability to work at high frequencies even with low voltage supplies. In the present dissertation a new method for the design of log-domain filters is proposed, based on the well-known wave method. According to this method log-domain filters can be designed using the wave scattering parameters or using the wave port terminator block. Structures of log-domain wave filters using wave scattering parameters are initially proposed. In this approach the log-domain wave equivalent of a series inductor is transformed from linear to log-domain. Log-domain wave equivalents of the other basic elements of a passive prototype are then derived by the interchange of its outputs or/and the addition of voltage inverters. These equivalents are then connected together forming the actual filter. Log-domain differential wave filters can be designed by the introduction of the log-domain differential wave equivalent of the series inductor. Using a different approach, log-domain wave filters have been designed, introducing the block of a log-domain wave port terminator. Using this block, the log-domain wave equivalent of a shunt capacitor is derived as the based structure element. The wave equivalents of other basic elements of the passive prototype are derived as before interchanging its outputs or/and adding voltage inverters. Finally the influence of the non-ideal characteristics of the BJT transistor on the frequency response of the derived filters is analyzed and efficient methods are proposed for their compensation.

Adaptive microwave systems can benefit from the use of low loss tunable microwave filters. Realizing these tunable filters that show low loss characteristics can be very challenging. The proper materials, tuning elements, and filter designs need to be considered when creating a low loss tunable filter. The integration of low loss microelectromechanical systems (MEMS) and superconducting circuits is one method of achieving these types of tunable filters. The thesis introduces new multi-layer low temperature superconducting (LTS) filters and diplexers and novel topologies for tunable filters and switched multiplexers. An efficient method of designing such filters is proposed. A fabrication process to monolithically integrate MEMS devices with high temperature superconducting (HTS) circuits is also investigated in this thesis. The reflected group delay method, usually used for filter tuning, is further developed for use in designing microwave filters. It is advantageous in the design of filters to have electromagnetic simulation results that will correlate well to the fabricated microwave filters. A correction factor is presented for use with the reflected group delay method so the group delay needs to be matched to the appropriate value at the center frequency of the filter and be symmetric about the center frequency of the filter. As demonstrated with an ideal lumped element filter, the group delay method can be implemented when a closed form expression for the circuit is not known. An 8-pole HTS filter design and an 8-pole multi-layer LTS filter design demonstrate the use of the reflected group delay method. Low temperature superconducting filters, couplers and diplexers are designed and fabricated using a multilayer niobium fabrication process traditionally used for superconducting digital microelectronics. The feasibility of realizing highly miniaturized microwave niobium devices allows for the integration of superconducting digital microelectronics circuits and analog microwave devices on a single chip. Microwave devices such as bandpass filters, lowpass filters, bandstop filters, quadrature hybrids, and resistive loads are all demonstrated experimentally. New tunable filter designs are presented that can make use of MEMS switches. A manifold-coupled switched multiplexer that allows for 2^N possible states is presented. The tunable multiplexer has N filters connected to two manifolds and has embedded switches, which detune certain resonators within the filters to switch between ON and OFF states for each channel. The new concept is demonstrated with a diplexer design and two 3-pole coplanar filters. The concept is further developed through test results of a fabricated HTS triplexer and electromagnetic simulations to demonstrate a superconducting manifold-coupled switched triplexer. Another filter design is presented that makes use of switches placed only on the resonators of the filters. This filter design has N possible states and the absolute bandwidth can be kept constant for all N states. Finally, the integration of HTS circuits and MEMS devices is investigated to realize low loss tunable microwave filters. The hybrid integration is first performed through the integration of an HTS microstrip filter and commercially available RF MEMS switches. A fabrication process to monolithically integrate MEMS devices and high temperature superconducting circuits is then investigated. The fabrication process includes a titanium tungsten layer, which acts as both a resistive layer and an adhesion for the dielectric layer, an amorphous silicon dielectric layer, a photoresist sacrificial layer, and the top gold layer. The fabrication process is built up on a wafer with a thin film of a high temperature superconducting material covered with a thin film of gold. Several processes are tested to ensure that the superconducting properties of the thin film are not affected during the MEMS fabrication process.