Smart antennas: state of the art

Aim of this contribution is to illustrate the state of the art of smart antenna research from several perspectives. The bow is drawn from transmitter issues via channel measurements and modeling, receiver signal processing, network aspects, technological challenges towards first smart antenna applications and current status of standardization. Moreover, some future prospects of different disciplines in smart antenna research are given.

On wideband deconvolution using wavelet transform

A discussion on the expression proposed in [1]–[3]for deconvolving the wideband density function is presented. Weprove here that such an expression reduces to be proportionalto the wideband correlation receiver output, or continuous wavelettransform of the received signal with respect to the transmittedone. Moreover, we show that the same result has been implicitlyassumed in [1], when the deconvolution equation is derived. Westress the fact that the analyzed approach is just the orthogonalprojection of the density function onto the image of the wavelettransform with respect to the transmitted signal. Consequently,the approach can be considered a good representation of thedensity function only under the prior knowledge that the densityfunction belongs to such a subspace. The choice of the transmittedsignal is thus crucial to this approach.

Blind channel estimation and data detection using hidden Markov models theory

In this correspondence, we propose applying the hiddenMarkov models (HMM) theory to the problem of blind channel estimationand data detection. The Baum–Welch (BW) algorithm, which is able toestimate all the parameters of the model, is enriched by introducingsome linear constraints emerging from a linear FIR hypothesis on thechannel. Additionally, a version of the algorithm that is suitable for timevaryingchannels is also presented. Performance is analyzed in a GSMenvironment using standard test channels and is found to be close to thatobtained with a nonblind receiver.

Robust beamforming for interference rejection in mobile communications

The problem of robust beamformer design for mobile communicationsapplications in the presence of moving co-channel sources isaddressed. A generalization of the optimum beamformer based on a statisticalmodel accounting for source movement is proposed. The new methodis easily implemented and is shown to offer dramatic improvements overconventional optimum beamforming for moving sources under a varietyof operating conditions.

Impulse response recovery of linear systems through weighted cumulant slice

Identifiability of the so-called ω-slice algorithm is proven for ARMA linear systems. Although proofs were developed in the past for the simpler cases of MA and AR models, they were not extendible to general exponential linear systems. The results presented in this paper demonstrate a unique feature of the ω-slice method, which is unbiasedness and consistency when order is overdetermined, regardless of the IIR or FIR nature of the underlying system, and numerical robustness.

Positive time-frequency distributions based on joint marginal constraints

This correspondence studies the formulation of members ofthe Cohen-Posch class of positive time-frequency energy distributions.Minimization of cross-entropy measures with respect to different priorsand the case of no prior or maximum entropy were considered. It isconcluded that, in general, the information provided by the classicalmarginal constraints is very limited, and thus, the final distributionheavily depends on the prior distribution. To overcome this limitation,joint time and frequency marginals are derived based on a "directioninvariance" criterion on the time-frequency plane that are directly relatedto the fractional Fourier transform.

Average performance analysis of circular and hyperbolic geolocation

A comparative performance analysis of four geolocation methods in terms of their theoretical root mean square positioning errors is provided. Comparison is established in two different ways: strict and average. In the strict type, methods are examined for a particular geometric configuration of base stations(BSs) with respect to mobile position, which determines a givennoise profile affecting the respective time-of-arrival (TOA) or timedifference-of-arrival (TDOA) estimates. In the average type, methodsare evaluated in terms of the expected covariance matrix ofthe position error over an ensemble of random geometries, so thatcomparison is geometry independent. Exact semianalytical equationsand associated lower bounds (depending solely on the noiseprofile) are obtained for the average covariance matrix of the positionerror in terms of the so-called information matrix specific toeach geolocation method. Statistical channel models inferred fromfield trials are used to define realistic prior probabilities for therandom geometries. A final evaluation provides extensive resultsrelating the expected position error to channel model parametersand the number of base stations.

System identification using a linear combination of cumulant slices

In this paper we develop a new linear approach to identify the parameters of a moving average (MA) model from the statistics of the output. First, we show that, under some constraints, the impulse response of the system can be expressed as a linear combination of cumulant slices. Then, thisresult is used to obtain a new well-conditioned linear methodto estimate the MA parameters of a non-Gaussian process. Theproposed method presents several important differences withexisting linear approaches. The linear combination of slices usedto compute the MA parameters can be constructed from dif-ferent sets of cumulants of different orders, providing a generalframework where all the statistics can be combined. Further-more, it is not necessary to use second-order statistics (the autocorrelation slice), and therefore the proposed algorithm stillprovides consistent estimates in the presence of colored Gaussian noise. Another advantage of the method is that while mostlinear methods developed so far give totally erroneous estimates if the order is overestimated, the proposed approach doesnot require a previous estimation of the filter order. The simulation results confirm the good numerical conditioning of thealgorithm and the improvement in performance with respect to existing methods.

Second-order parameter estimation

This work provides a general framework for the design of second-order blind estimators without adopting anyapproximation about the observation statistics or the a prioridistribution of the parameters. The proposed solution is obtainedminimizing the estimator variance subject to some constraints onthe estimator bias. The resulting optimal estimator is found todepend on the observation fourth-order moments that can be calculatedanalytically from the known signal model. Unfortunately,in most cases, the performance of this estimator is severely limitedby the residual bias inherent to nonlinear estimation problems.To overcome this limitation, the second-order minimum varianceunbiased estimator is deduced from the general solution by assumingaccurate prior information on the vector of parameters.This small-error approximation is adopted to design iterativeestimators or trackers. It is shown that the associated varianceconstitutes the lower bound for the variance of any unbiasedestimator based on the sample covariance matrix.The paper formulation is then applied to track the angle-of-arrival(AoA) of multiple digitally-modulated sources by means ofa uniform linear array. The optimal second-order tracker is comparedwith the classical maximum likelihood (ML) blind methodsthat are shown to be quadratic in the observed data as well. Simulationshave confirmed that the discrete nature of the transmittedsymbols can be exploited to improve considerably the discriminationof near sources in medium-to-high SNR scenarios.

ML estimator and hybrid beamformer for multipath and interference mitigation in GNSS receivers

This paper addresses the estimation of the code-phase(pseudorange) and the carrier-phase of the direct signal received from a direct-sequence spread-spectrum satellite transmitter. Thesignal is received by an antenna array in a scenario with interferenceand multipath propagation. These two effects are generallythe limiting error sources in most high-precision positioning applications.A new estimator of the code- and carrier-phases is derivedby using a simplified signal model and the maximum likelihood(ML) principle. The simplified model consists essentially ofgathering all signals, except for the direct one, in a component withunknown spatial correlation. The estimator exploits the knowledgeof the direction-of-arrival of the direct signal and is much simplerthan other estimators derived under more detailed signal models.Moreover, we present an iterative algorithm, that is adequate for apractical implementation and explores an interesting link betweenthe ML estimator and a hybrid beamformer. The mean squarederror and bias of the new estimator are computed for a numberof scenarios and compared with those of other methods. The presentedestimator and the hybrid beamforming outperform the existingtechniques of comparable complexity and attains, in manysituations, the Cramér–Rao lower bound of the problem at hand.

NDA waveform estimation in the low-SNR regime

This correspondence addresses the problem of nondata-aidedwaveform estimation for digital communications. Based on the unconditionalmaximum likelihood criterion, the main contribution of this correspondenceis the derivation of a closed-form solution to the waveform estimationproblem in the low signal-to-noise ratio regime. The proposed estimationmethod is based on the second-order statistics of the received signaland a clear link is established between maximum likelihood estimation andcorrelation matching techniques. Compression with the signal-subspace isalso proposed to improve the robustness against the noise and to mitigatethe impact of abnormals or outliers.

Space-time front-ends for RAKE receivers in the FDD mode of UTRA

A unified and general vision of different space-time processors is presented. Many popular receivers can beaccomodated, like V-RAKE receivers, weighted V-RAKE, or spatial narrowband beamforming. By makingappropriate assumptions on the space/time characteristic of the interference it is possible to enhance theperformance of the receiver through spatial/temporal pre-processors. These receivers will be tested in the FDDmode of UTRA.

Audiosignaalin digitaalinen käsittely aktiivisessa meluntorjunnassa

Meluntorjuntaan on perinteisesti käytetty passiivisia menetelmiä. Monissa sovelluksissa melua voidaan vaimentaa myös aktiivisella meluntorjunnalla. Tässä työssä tutkitaan aktiivisen meluntorjunnan signaalinkäsittelyä sekä signaalinkäsittelyyn soveltuvia laitteistoja. Lisäksi selvitetään ANC-järjestelmien (Active Noise Control) toimintaanja signaalinkäsittelyyn vaikuttavia tekijöitä. Tutkinnassa rajoitutaan yksikanavaisiin järjestelmiin. Esimerkkisovelluksena käytetään ulkotilan melunvaimennukseen soveltuvaa järjestelmää. Esimerkkijärjestelmään suunniteltiin signaalinkäsittelylaitteisto, jonka soveltuvuutta järjestelmän signaalinkäsittelyyn selvitettiin suorituskykymittauksin ja kokeellisin mittauksin.Lisäksi pohditaan signaalinkäsittelyn toteuttamista tutkittavassa järjestelmässä ja sovelluskohteessa.

Étude des mécanismes de transfert des fibres en sciences forensiques

RESUME Les fibres textiles sont des produits de masse utilisés dans la fabrication de nombreux objets de notre quotidien. Le transfert de fibres lors d'une action délictueuse est dès lors extrêmement courant. Du fait de leur omniprésence dans notre environnement, il est capital que l'expert forensique évalue la valeur de l'indice fibres. L'interprétation de l'indice fibres passe par la connaissance d'un certain nombre de paramètres, comme la rareté des fibres, la probabilité de leur présence par hasard sur un certain support, ainsi que les mécanismes de transfert et de persistance des fibres. Les lacunes les plus importantes concernent les mécanismes de transfert des fibres. A ce jour, les nombreux auteurs qui se sont penchés sur le transfert de fibres ne sont pas parvenus à créer un modèle permettant de prédire le nombre de fibres que l'on s'attend à retrouver dans des circonstances de contact données, en fonction des différents paramètres caractérisant ce contact et les textiles mis en jeu. Le but principal de cette recherche est de démontrer que la création d'un modèle prédictif du nombre de fibres transférées lors d'un contact donné est possible. Dans le cadre de ce travail, le cas particulier du transfert de fibres d'un tricot en laine ou en acrylique d'un conducteur vers le dossier du siège de son véhicule a été étudié. Plusieurs caractéristiques des textiles mis en jeu lors de ces expériences ont été mesurées. Des outils statistiques (régression linéaire multiple) ont ensuite été utilisés sur ces données afin d'évaluer l'influence des caractéristiques des textiles donneurs sur le nombre de fibres transférées et d'élaborer un modèle permettant de prédire le nombre de fibres qui vont être transférées à l'aide des caractéristiques influençant significativement le transfert. Afin de faciliter la recherche et le comptage des fibres transférées lors des expériences de transfert, un appareil de recherche automatique des fibres (liber finder) a été utilisé dans le cadre de cette recherche. Les tests d'évaluation de l'efficacité de cet appareil pour la recherche de fibres montrent que la recherche automatique est globalement aussi efficace qu'une recherche visuelle pour les fibres fortement colorées. Par contre la recherche automatique perd de son efficacité pour les fibres très pâles ou très foncées. Une des caractéristiques des textiles donneurs à étudier est la longueur des fibres. Afin de pouvoir évaluer ce paramètre, une séquence d'algorithmes de traitement d'image a été implémentée. Cet outil permet la mesure de la longueur d'une fibre à partir de son image numérique à haute résolution (2'540 dpi). Les tests effectués montrent que les mesures ainsi obtenues présentent une erreur de l'ordre du dixième de millimètre, ce qui est largement suffisant pour son utilisation dans le cadre de cette recherche. Les résultats obtenus suite au traitement statistique des résultats des expériences de transfert ont permis d'aboutir à une modélisation du phénomène du transfert. Deux paramètres sont retenus dans le modèle: l'état de la surface du tissu donneur et la longueur des fibres composant le tissu donneur. L'état de la surface du tissu est un paramètre tenant compte de la quantité de fibres qui se sont détachées de la structure du tissu ou qui sont encore faiblement rattachées à celle-ci. En effet, ces fibres sont les premières à se transférer lors d'un contact, et plus la quantité de ces fibres par unité de surface est importante, plus le nombre de fibres transférées sera élevé. La longueur des fibres du tissu donneur est également un paramètre important : plus les fibres sont longues, mieux elles sont retenues dans la structure du tissu et moins elles se transféreront. SUMMARY Fibres are mass products used to produce numerous objects encountered everyday. The transfer of fibres during a criminal action is then very common. Because fibres are omnipresent in our environment, the forensic expert has to evaluate the value of the fibre evidence. To interpret fibre evidence, the expert has to know some parameters as frequency of fibres,' probability of finding extraneous fibres by chance on a given support, and transfer and persistence mechanisms. Fibre transfer is one of the most complex parameter. Many authors studied fibre transfer mechanisms but no model has been created to predict the number of fibres transferred expected in a given type of contact according to parameters as characteristics of the contact and characteristics of textiles. The main purpose of this research is to demonstrate that it is possible to create a model to predict the number of fibres transferred during a contact. In this work, the particular case of the transfer of fibres from a knitted textile in wool or in acrylic of a driver to the back of a carseat has been studied. Several characteristics of the textiles used for the experiments were measured. The data obtained were then treated with statistical tools (multiple linear regression) to evaluate the influence of the donor textile characteristics on the number of úbers transferred, and to create a model to predict this number of fibres transferred by an equation containing the characteristics having a significant influence on the transfer. To make easier the searching and the counting of fibres, an apparatus of automatic search. of fibers (fiber finder) was used. The tests realised to evaluate the efficiency of the fiber finder shows that the results obtained are generally as efficient as for visual search for well-coloured fibres. However, the efficiency of automatic search decreases for pales and dark fibres. One characteristic of the donor textile studied was the length of the fibres. To measure this parameter, a sequence of image processing algorithms was implemented. This tool allows to measure the length of a fibre from it high-resolution (2'540 dpi) numerical image. The tests done shows that the error of the measures obtained are about some tenths of millimetres. This precision is sufficient for this research. The statistical methods applied on the transfer experiment data allow to create a model of the transfer phenomenon. Two parameters are included in the model: the shedding capacity of the donor textile surface and the length of donor textile fibres. The shedding capacity of the donor textile surface is a parameter estimating the quantity of fibres that are not or slightly attached to the structure of the textile. These fibres are easily transferred during a contact, and the more this quantity of fibres is high, the more the number of fibres transferred during the contact is important. The length of fibres is also an important parameter: the more the fibres are long, the more they are attached in the structure of the textile and the less they are transferred during the contact.

Analysis of Active Magnet Bearing Control Software

Problems of the designing active magnet bearingcontrol are developed. The estimation controller are designed and applied to a rigid rotor. The mathematical model of the active magnet bearing controller is developed. This mathematical model is realized on a DSP. The results of this realization are analyzed. The conclusions about the digital signal processing are made.