Performance analysis of adaptive lattice filters for FM signals and alpha-stable processes

The performance of an adaptive filter may be studied through the behaviour of the optimal and adaptive coefficients in a given environment. This thesis investigates the performance of finite impulse response adaptive lattice filters for two classes of input signals: (a) frequency modulated signals with polynomial phases of order p in complex Gaussian white noise (as nonstationary signals), and (b) the impulsive autoregressive processes with alpha-stable distributions (as non-Gaussian signals). Initially, an overview is given for linear prediction and adaptive filtering. The convergence and tracking properties of the stochastic gradient algorithms are discussed for stationary and nonstationary input signals. It is explained that the stochastic gradient lattice algorithm has many advantages over the least-mean square algorithm. Some of these advantages are having a modular structure, easy-guaranteed stability, less sensitivity to the eigenvalue spread of the input autocorrelation matrix, and easy quantization of filter coefficients (normally called reflection coefficients). We then characterize the performance of the stochastic gradient lattice algorithm for the frequency modulated signals through the optimal and adaptive lattice reflection coefficients. This is a difficult task due to the nonlinear dependence of the adaptive reflection coefficients on the preceding stages and the input signal. To ease the derivations, we assume that reflection coefficients of each stage are independent of the inputs to that stage. Then the optimal lattice filter is derived for the frequency modulated signals. This is performed by computing the optimal values of residual errors, reflection coefficients, and recovery errors. Next, we show the tracking behaviour of adaptive reflection coefficients for frequency modulated signals. This is carried out by computing the tracking model of these coefficients for the stochastic gradient lattice algorithm in average. The second-order convergence of the adaptive coefficients is investigated by modeling the theoretical asymptotic variance of the gradient noise at each stage. The accuracy of the analytical results is verified by computer simulations. Using the previous analytical results, we show a new property, the polynomial order reducing property of adaptive lattice filters. This property may be used to reduce the order of the polynomial phase of input frequency modulated signals. Considering two examples, we show how this property may be used in processing frequency modulated signals. In the first example, a detection procedure in carried out on a frequency modulated signal with a second-order polynomial phase in complex Gaussian white noise. We showed that using this technique a better probability of detection is obtained for the reduced-order phase signals compared to that of the traditional energy detector. Also, it is empirically shown that the distribution of the gradient noise in the first adaptive reflection coefficients approximates the Gaussian law. In the second example, the instantaneous frequency of the same observed signal is estimated. We show that by using this technique a lower mean square error is achieved for the estimated frequencies at high signal-to-noise ratios in comparison to that of the adaptive line enhancer. The performance of adaptive lattice filters is then investigated for the second type of input signals, i.e., impulsive autoregressive processes with alpha-stable distributions . The concept of alpha-stable distributions is first introduced. We discuss that the stochastic gradient algorithm which performs desirable results for finite variance input signals (like frequency modulated signals in noise) does not perform a fast convergence for infinite variance stable processes (due to using the minimum mean-square error criterion). To deal with such problems, the concept of minimum dispersion criterion, fractional lower order moments, and recently-developed algorithms for stable processes are introduced. We then study the possibility of using the lattice structure for impulsive stable processes. Accordingly, two new algorithms including the least-mean P-norm lattice algorithm and its normalized version are proposed for lattice filters based on the fractional lower order moments. Simulation results show that using the proposed algorithms, faster convergence speeds are achieved for parameters estimation of autoregressive stable processes with low to moderate degrees of impulsiveness in comparison to many other algorithms. Also, we discuss the effect of impulsiveness of stable processes on generating some misalignment between the estimated parameters and the true values. Due to the infinite variance of stable processes, the performance of the proposed algorithms is only investigated using extensive computer simulations.

Some applications of logic to feasibility in higher types

While it is commonly accepted that computability on a Turing machine in polynomial time represents a correct formalization of the notion of a feasibly computable function, there is no similar agreement on how to extend this notion on functionals, that is, what functionals should be considered feasible. One possible paradigm was introduced by Mehlhorn, who extended Cobham's definition of feasible functions to type 2 functionals. Subsequently, this class of functionals (with inessential changes of the definition) was studied by Townsend who calls this class POLY, and by Kapron and Cook who call the same class basic feasible functionals. Kapron and Cook gave an oracle Turing machine model characterisation of this class. In this article, we demonstrate that the class of basic feasible functionals has recursion theoretic properties which naturally generalise the corresponding properties of the class of feasible functions, thus giving further evidence that the notion of feasibility of functionals mentioned above is correctly chosen. We also improve the Kapron and Cook result on machine representation.Our proofs are based on essential applications of logic. We introduce a weak fragment of second order arithmetic with second order variables ranging over functions from NN which suitably characterises basic feasible functionals, and show that it is a useful tool for investigating the properties of basic feasible functionals. In particular, we provide an example how one can extract feasible programs from mathematical proofs that use nonfeasible functions.

Assessment for learning as a participative pedagogy

AfL practices observed in case studies in a North Queensland school were analysed from a sociocultural theoretical perspective. AfL practices of feedback, dialogue and peer assessment were viewed as an opportunity for students to learn the social expectations about being an autonomous learner, or central participant within the classroom community of practice. This process of becoming more expert and belonging within the community of practice involved students negotiating identities of participation that included knowing both academic skills and social expectations within the classroom. This paper argues that when AfL practices are viewed as ways of enhancing participation, there is potential for learners to negotiate identities as autonomous learners. AfL practices within the daily classroom interactions and pedagogy that enabled students to develop a shared repertoire, joint enterprise and mutual engagement in the classroom communities of practice are described. The challenges for teachers in shifting their gaze to patterns of participation are also briefly discussed.

The mobile phone as a multi OTP device using trusted computing

The rapid growth in the number of online services leads to an increasing number of different digital identities each user needs to manage. As a result, many people feel overloaded with credentials, which in turn negatively impact their ability to manage them securely. Passwords are perhaps the most common type of credential used today. To avoid the tedious task of remembering difficult passwords, users often behave less securely by using low entropy and weak passwords. Weak passwords and bad password habits represent security threats to online services. Some solutions have been developed to eliminate the need for users to create and manage passwords. A typical solution is based on giving the user a hardware token that generates one-time-passwords, i.e. passwords for single session or transaction usage. Unfortunately, most of these solutions do not satisfy scalability and/or usability requirements, or they are simply insecure. In this paper, we propose a scalable OTP solution using mobile phones and based on trusted computing technology that combines enhanced usability with strong security.

Component reliability estimations without field data

Maintenance activities in a large-scale engineering system are usually scheduled according to the lifetimes of various components in order to ensure the overall reliability of the system. Lifetimes of components can be deduced by the corresponding probability distributions with parameters estimated from past failure data. While failure data of the components is not always readily available, the engineers have to be content with the primitive information from the manufacturers only, such as the mean and standard deviation of lifetime, to plan for the maintenance activities. In this paper, the moment-based piecewise polynomial model (MPPM) are proposed to estimate the parameters of the reliability probability distribution of the products when only the mean and standard deviation of the product lifetime are known. This method employs a group of polynomial functions to estimate the two parameters of the Weibull Distribution according to the mathematical relationship between the shape parameter of two-parameters Weibull Distribution and the ratio of mean and standard deviation. Tests are carried out to evaluate the validity and accuracy of the proposed methods with discussions on its suitability of applications. The proposed method is particularly useful for reliability-critical systems, such as railway and power systems, in which the maintenance activities are scheduled according to the expected lifetimes of the system components.

'I am smart and I am not joking': Aiming high in the middle years of schooling

In this paper, we draw on accounts from students to inform a Middle Schooling movement that has been variously described as "arrested", "unfinished" and "exhausted". We propose that if the Middle Schooling movement is to understand the changing worlds of students and develop new approaches in the middle years of schooling, then it is important to draw on the insights that individual students can provide by conducting research with "students-as-informants". The early adolescent informants to this paper report high hopes for their futures (despite their lower socio-economic surroundings), which reinforces the importance of supporting successful learner identities and highlights the role of schooling in the decline of adolescent student aspirations. However, their insights did not stop at the individual learner, with students also identifying cultural and structural constraints to reform. As such, we argue that students may be both an important resource for inquiry into individual school reform and for the Middle Schooling movement internationally.

Wavelet based approaches and high resolution methods for complex process models

Many industrial processes and systems can be modelled mathematically by a set of Partial Differential Equations (PDEs). Finding a solution to such a PDF model is essential for system design, simulation, and process control purpose. However, major difficulties appear when solving PDEs with singularity. Traditional numerical methods, such as finite difference, finite element, and polynomial based orthogonal collocation, not only have limitations to fully capture the process dynamics but also demand enormous computation power due to the large number of elements or mesh points for accommodation of sharp variations. To tackle this challenging problem, wavelet based approaches and high resolution methods have been recently developed with successful applications to a fixedbed adsorption column model. Our investigation has shown that recent advances in wavelet based approaches and high resolution methods have the potential to be adopted for solving more complicated dynamic system models. This chapter will highlight the successful applications of these new methods in solving complex models of simulated-moving-bed (SMB) chromatographic processes. A SMB process is a distributed parameter system and can be mathematically described by a set of partial/ordinary differential equations and algebraic equations. These equations are highly coupled; experience wave propagations with steep front, and require significant numerical effort to solve. To demonstrate the numerical computing power of the wavelet based approaches and high resolution methods, a single column chromatographic process modelled by a Transport-Dispersive-Equilibrium linear model is investigated first. Numerical solutions from the upwind-1 finite difference, wavelet-collocation, and high resolution methods are evaluated by quantitative comparisons with the analytical solution for a range of Peclet numbers. After that, the advantages of the wavelet based approaches and high resolution methods are further demonstrated through applications to a dynamic SMB model for an enantiomers separation process. This research has revealed that for a PDE system with a low Peclet number, all existing numerical methods work well, but the upwind finite difference method consumes the most time for the same degree of accuracy of the numerical solution. The high resolution method provides an accurate numerical solution for a PDE system with a medium Peclet number. The wavelet collocation method is capable of catching up steep changes in the solution, and thus can be used for solving PDE models with high singularity. For the complex SMB system models under consideration, both the wavelet based approaches and high resolution methods are good candidates in terms of computation demand and prediction accuracy on the steep front. The high resolution methods have shown better stability in achieving steady state in the specific case studied in this Chapter.

Deliberation and journalism

The first chapter in 'International Journalism and Democracy' re-examines current ideas about the role of journalism in promoting democracy, introducing the concept of "deliberative journalism". 'Deliberation and Journalism' lists the ways in which journalists can assist deliberation and politics in communities around the world. The chapter defines deliberation as a specific form of conversation that precedes and promotes decision-making and action by members of a community. The author recognises the difficulty of engaging in deliberation in communities that are divided by different interests, identities, backgrounds, resources and needs. She provides examples of strategies that journalists can use to encourage inclusive and productive deliberation in the face of community diversity. The chapter introduces examples of types of deliberative journalism that have emerged around the globe. These include strategies that have been sometimes been labeled as public journalism, civic journalism, peace journalism, development journalism, citizen journalism, the street press, community journalism, environmental journalism, and social entrepreneurism. The chapter also includes models of journalism that have not yet been given any particular name. Although the book identifies problems surrounding the theory and practice of these forms of journalism, the author notes that this is to be expected. Most models of deliberative journalism are relatively new, with none being more than a few decades old. The author concludes that resolution of these problems will only occur incrementally.

Evolving citizenship : "the right to protest and the right to dance"

Citizenship is a term of association among strangers. Access to it involves contested identities and symbolic meanings, differing power relations and strategies of inclusion, exclusion and action, and unequal room for maneuver or productivity in the uses of citizenship for any given group or individual. In the context of "rethinking communication," strenuous action is neede to associate such different life chances in a common enterprise at a national level or, more modestly, simply to claim equivalence for all such groups under the rule of one law.

Building bridges to participation : sociocultural case studies of AfL

Assessment for Learning(AfL) case studies in a North Queensland school highlight the significance of the teacher-student relationship in creating a supportive culture within which students can negotiate new learner identities. AfL practices are school based evaluative practices that occur within the regular flow of teaching and learning with the purpose of informing and improving student learning to enhance learner autonomy. The identity of an autonomous learner is socially negotiated through participation in the community of practice of the class. Underpinned by a sociocultural perspective this research shows how AfL is manifested in action in its complexity and how positive teacher-student interactions can build bridges for students to move towards full participation.

Academic practice as explanatory framework : reconceptualising international student academic engagement and university teaching

This paper joins growing interest in the concept of practice, and uses it to reconceptualise international student engagement with the demands of study at an Australian university. Practice foregrounds institutional structures and student agency and brings together psychologically- and socially-oriented perspectives on international student learning approaches. Utilising discourse theory, practice is defined as habitual and individual instances of socially-contextualised configurations of elements such as actions and interactions, roles and relations, identities, objects, values, and language. In the university context, academic practice highlights the institutionally-sanctioned ways of knowing, doing and being that constitute academic tasks. The concept is applied here to six international students’ ‘readings’ of and strategic responses to academic work in a Master of Education course. It is argued that academic practice provides a comprehensive framework for explaining the interface between university academic requirements and international student learning, and the crucial role that teaching has in facilitating the experience.

Improving the performance of model-order selection criteria by partial-model selection search

The traditional searching method for model-order selection in linear regression is a nested full-parameters-set searching procedure over the desired orders, which we call full-model order selection. On the other hand, a method for model-selection searches for the best sub-model within each order. In this paper, we propose using the model-selection searching method for model-order selection, which we call partial-model order selection. We show by simulations that the proposed searching method gives better accuracies than the traditional one, especially for low signal-to-noise ratios over a wide range of model-order selection criteria (both information theoretic based and bootstrap-based). Also, we show that for some models the performance of the bootstrap-based criterion improves significantly by using the proposed partial-model selection searching method. Index Terms— Model order estimation, model selection, information theoretic criteria, bootstrap 1. INTRODUCTION Several model-order selection criteria can be applied to find the optimal order. Some of the more commonly used information theoretic-based procedures include Akaike’s information criterion (AIC) [1], corrected Akaike (AICc) [2], minimum description length (MDL) [3], normalized maximum likelihood (NML) [4], Hannan-Quinn criterion (HQC) [5], conditional model-order estimation (CME) [6], and the efficient detection criterion (EDC) [7]. From a practical point of view, it is difficult to decide which model order selection criterion to use. Many of them perform reasonably well when the signal-to-noise ratio (SNR) is high. The discrepancies in their performance, however, become more evident when the SNR is low. In those situations, the performance of the given technique is not only determined by the model structure (say a polynomial trend versus a Fourier series) but, more importantly, by the relative values of the parameters within the model. This makes the comparison between the model-order selection algorithms difficult as within the same model with a given order one could find an example for which one of the methods performs favourably well or fails [6, 8]. Our aim is to improve the performance of the model order selection criteria in cases where the SNR is low by considering a model-selection searching procedure that takes into account not only the full-model order search but also a partial model order search within the given model order. Understandably, the improvement in the performance of the model order estimation is at the expense of additional computational complexity.

An enriched radial point interpolation method (e-RPIM) for analysis of crack tip fields

In this paper, an enriched radial point interpolation method (e-RPIM) is developed the for the determination of crack tip fields. In e-RPIM, the conventional RBF interpolation is novelly augmented by the suitable trigonometric basis functions to reflect the properties of stresses for the crack tip fields. The performance of the enriched RBF meshfree shape functions is firstly investigated to fit different surfaces. The surface fitting results have proven that, comparing with the conventional RBF shape function, the enriched RBF shape function has: (1) a similar accuracy to fit a polynomial surface; (2) a much better accuracy to fit a trigonometric surface; and (3) a similar interpolation stability without increase of the condition number of the RBF interpolation matrix. Therefore, it has proven that the enriched RBF shape function will not only possess all advantages of the conventional RBF shape function, but also can accurately reflect the properties of stresses for the crack tip fields. The system of equations for the crack analysis is then derived based on the enriched RBF meshfree shape function and the meshfree weak-form. Several problems of linear fracture mechanics are simulated using this newlydeveloped e-RPIM method. It has demonstrated that the present e-RPIM is very accurate and stable, and it has a good potential to develop a practical simulation tool for fracture mechanics problems.

Lucky or Lagging? Anne Summers's On Luck [A Review]

Described as 'The Lucky Country' over forty-years ago, Australia continues to play on and onward with a fervent belief in luck, her people often described, usually by themselvess, as 'graced' or as living in 'God's Own'. With our comfortable lifestyle and isolated location, white sands and soft mangoes, it is easy to see why we embraced the term so eagerly. Where else could you win the lottery twice? While these national stereotypes are an essential part of the romance that drives and defines us, the idea that luck is the central motif of Australian culture has become a cliche, and a dangerous, almost disastrous one at that. In On Luck, Anne Summers observes, "You hear it everywhere: in all sorts of conversations, in Qantas ads, from the mouths of travellers returning from overseas trips full of complaints about the climate, the crowds, the uncivility of other places".