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.

Asymptotic equivalence between the unconditional maximum likelihood and the square-law nonlinearity symbol timing estimation

This paper provides a systematic approach to theproblem of nondata aided symbol-timing estimation for linearmodulations. The study is performed under the unconditionalmaximum likelihood framework where the carrier-frequencyerror is included as a nuisance parameter in the mathematicalderivation. The second-order moments of the received signal arefound to be the sufficient statistics for the problem at hand and theyallow the provision of a robust performance in the presence of acarrier-frequency error uncertainty. We particularly focus on theexploitation of the cyclostationary property of linear modulations.This enables us to derive simple and closed-form symbol-timingestimators which are found to be based on the well-known squaretiming recovery method by Oerder and Meyr. Finally, we generalizethe OM method to the case of linear modulations withoffset formats. In this case, the square-law nonlinearity is foundto provide not only the symbol-timing but also the carrier-phaseerror.

Statistical reference criteria for adaptive signal processing in digital communications

A general criterion for the design of adaptive systemsin digital communications called the statistical reference criterionis proposed. The criterion is based on imposition of the probabilitydensity function of the signal of interest at the outputof the adaptive system, with its application to the scenario ofhighly powerful interferers being the main focus of this paper.The knowledge of the pdf of the wanted signal is used as adiscriminator between signals so that interferers with differingdistributions are rejected by the algorithm. Its performance isstudied over a range of scenarios. Equations for gradient-basedcoefficient updates are derived, and the relationship with otherexisting algorithms like the minimum variance and the Wienercriterion are examined.

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.

Motion estimation using higher-order statistics

The objective of this paper is to introduce a fourth-order cost function of the displaced frame difference (DFD) capable of estimatingmotion even for small regions or blocks. Using higher than second-orderstatistics is appropriate in case the image sequence is severely corruptedby additive Gaussian noise. Some results are presented and compared to those obtained from the mean kurtosis and the mean square error of the DFD.

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.

Wigner higher-order spectra: definition, properties, computation and application to transient signal analysis

The Wigner higher order moment spectra (WHOS)are defined as extensions of the Wigner-Ville distribution (WD)to higher order moment spectra domains. A general class oftime-frequency higher order moment spectra is also defined interms of arbitrary higher order moments of the signal as generalizations of the Cohen’s general class of time-frequency representations. The properties of the general class of time-frequency higher order moment spectra can be related to theproperties of WHOS which are, in fact, extensions of the properties of the WD. Discrete time and frequency Wigner higherorder moment spectra (DTF-WHOS) distributions are introduced for signal processing applications and are shown to beimplemented with two FFT-based algorithms. One applicationis presented where the Wigner bispectrum (WB), which is aWHOS in the third-order moment domain, is utilized for thedetection of transient signals embedded in noise. The WB iscompared with the WD in terms of simulation examples andanalysis of real sonar data. It is shown that better detectionschemes can be derived, in low signal-to-noise ratio, when theWB is applied.

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.

Entitat Metropolitana del Transport. Centre Operatiu d'Autobusos del Prat

El projecte contempla la resolució d’un Centre Operatiu d’Autobusos Metropolitans amb un programa que ha de donar cabuda a un mínim de 300 places d’aparcament de diferents mesures, tallers de manteniment, túnels de neteja, sortidors de repostatge, vestuaris, administració, oficines i serveis generals. L’emplaçament se situa en el barri de Sant Cosme del Prat de Llobregat, en un solar que esdevé la façana d’aquesta població a l’entrada a Barcelona des de l’aeroport. L’entorn el conformen els espais de protecció de les pistes que es perllonguen fins a tocar el Parc Natural del Delta del Llobregat, una zona humida protegida d’àmbit europeu. Al mateix temps, els requeriments del concurs sol•liciten mantenir un 50% de la superfície del solar com a parc urbà. Això comporta abordar la resolució d’un edifici extens, però de 3 alçades i mitja, per tal de poder encabir tot el programa. Tot i així, la proposta integra el gran volum de l’edificació en harmonia compositiva i cromàtica amb el canyissar i manté l’alçària en una cota similar a la dels edificis de l’entorn. L’àrea verda es concentra en la part de la parcel•la que té continuïtat directe amb el pati del nou Esplai del barri, per tal de optimitzar-ne l’ús. Al mateix temps, les àrees de circulació, neteja i manteniment dels autobusos se situen a la part posterior del solar, per fer-les compatibles amb la resta de requeriments funcionals i perquè la volumetria principal doni front a les vies d’entrada a l’àrea metropolitana. La cotxera està continguda en un únic volum lleugerament soterrat, per limitar l’alçària total. La construcció principal, de 120 x 55 x 14,5 metres, es troba configurada per una estructura regular que respecta les mesures i moviments dels autobusos, i per una pell consistent en una gelosia oberta en tres cares, i tancada en l’alçat nord. Aquest tancament es realitza amb prismes verticals de colors similars a la vegetació del entorn, separats harmònicament per tal de dissoldre lleument els contorns del volum. Com a contrapunt a la gran peça principal, es proposa un petit edifici vidriat que indica l’entrada a les oficines i conté les activitats administratives.Les àrees de funcionament es resumeixen en les següents:1. La circulació dels autobusos: el conjunt disposa de tres vies simultànies, una d’accés i dues de sortida, situades en línia amb dos punts de repostatge, aspiració interior i traspàs de dades i recaptacions, aptes per a ser utilitzades per tres vehicles alhora. També es disposen tres túnels de rentat previs a l’entrada a l’interior de la cotxera, amb pas per a tres carrils en by-pass. Es preveu una quarta via especial d’accés i sortida directes al taller, per situacions extraordinàries.2. La circulació dels vehicles de personal: tenen un accés i un recorregut independent al dels autobusos, amb control informatitzat. 3. La entrada peatonal de visites o personal: l’edifici disposa també d’una entrada peatonal que es produeix des de la porta principal, situada en el front del edifici administratiu.4. El edifici principal: consta de diferents nivells. El Nivell 0, a cota –1,3 m. es troba ocupat per la zona d’aparcament de vehicles privats (98 uts), l’aparcament de minibusos (20 uts), el taller d’autobusos (23 uts standard amb ITV, 2 uts articulats, 1 ut pintura articulat, 2 uts reparcions sostres), i l’àrea d’explotació i de dependències per conductors (vestidors, àrea de descans, cafeteria i espais habitables).El Nivell 1, a cota 2,4 m. està ocupat per l’aparcament de 47 autobusos de 13 m. de llarg i per 20 autobusos de 15 m.El Nivell 2, a cota 4,8 m. l’ocupen 22 places d’autobusos de 15 m., 6 places d’articulats i 37 de 13 m.El Nivell 3, a cota 7,2 m. és idèntic al Nivell 1.El Nivell 4, és idèntic al Nivell 2 i permet que la rampa continuï fins a un Nivell 5 de coberta, que excepcionalment pot convertir-se en aparcament descobert de 67 autobusos de més.La proposta contempla amb fermesa criteris de Sostenibilitat. Aquests es centren en primer lloc en la sobrietat del projecte que garanteix una organització clara en quan a circulacions i rendiment del espai i que, per tant, no malbarata més recursos dels necessaris. En segon lloc, s’aprofiten al màxim la llum i la ventilació naturals i, al mateix temps, es genera la pròpia energia per millorar la eficiència. També es resol el re-processament dels residus generats pel complex, es re-aprofiten les aigües utilitzades en els vestuaris i oficines pel rentat dels vehicles, i s’emmagatzemen les aigües pluvials per tal de complementar la generació d’energia i per escalfar amb el sol aigua calenta de neteja. En tercer lloc, es té especial cura en l’impacte ambiental del edifici, procurant adequar-lo a l’estructura urbana tant en alineacions com el alçària. També s’evita la contaminació acústica apantallant el so intern per tal de no enviar-lo a les àrees habitades, s’endrecen els accessos dels autobusos des de la rotonda de la via pública per alterar el mínim el trànsit dels veïns, i es concentra l’àrea verda en la zona on es té més contacte amb l’activitat veïnal comunitària: l’Esplai del barri.

Voltage fluctuations in IC power supply distribution

The supply voltage decrease and powerconsumption increase of modern ICs made the requirements for low voltage fluctuation caused by packaging and on-chip parasitic impedances more difficult to achieve. Most of the research works on the area assume that all the nodes of the chip are fed at thesame voltage, in such a way that the main cause of disturbance or fluctuation is the parasitic impedance of packaging. In the paper an approach to analyze the effect of high and fast current demands on the on-chip power supply network. First an approach to model the entire network by considering a homogeneous conductive foil is presented. The modification of the timing parameters of flipflops caused by spatial voltage drops through the IC surface are also investigated.