Statistical properties of first-order bang-bang Pll with nonzero loop delay

A method to solve the stationary state probability is presented for the first-order bang-bang phase-locked loop (BBPLL) with nonzero loop delay. This is based on a delayed Markov chain model and a state How diagram for tracing the state history due to the loop delay. As a result, an eigenequation is obtained, and its closed form solutions are derived for some cases. After obtaining the state probability, statistical characteristics such as mean gain of the binary phase detector and timing error variance are calculated and demonstrated.

The role of the community service order and the suspended sentence in Ireland: a judicial perspective

Imprisonment is the most severe penalty utilised by the criminal courts in Ireland. In recent decades the prison population has grown significantly despite expressions both official and public to reduce the use of the sanction. Two other sanctions are available to the Irish sentencer which may be used as a direct and comparable sentence in lieu of a term of imprisonment namely, the community service order and the suspended sentence. The community service order remains under-utilised as an alternative to the custodial sentence. The suspended sentence is used quite liberally but its function may be more closely related to the aim of deterrence rather than avoiding the use of the custodial sentence. Thus the aim of decarceration may not be optimal in practice when either sanction is utilised. The decarcerative effect of either sanction is largely dependent upon the specific purpose which judges invest in the sanction. Judges may also be inhibited in the use of either sanction if they lack confidence that the sentence will be appropriately monitored and executed. The purpose of this thesis is to examine the role of the community service order and the suspended sentence in Irish sentencing practice. Although community service and the suspended sentence present primarily as alternatives to the custodial sentence, the manner in which the judges utilise or fail to utilise the sanctions may differ significantly from this primary manifestation. Therefore the study proceeds to examine the judges' cognitions and expectations of both sanctions to explore their underlying purposes and to reveal the manner in which the judges use the sanctions in practice. To access this previously undisclosed information a number of methodologies were deployed. An extensive literature review was conducted to delineate the purpose and functionality of both sanctions. Quantitative data was gathered by way of sampling for the suspended sentence and the part-suspended sentence where deficiencies were apparent to show the actual frequency in use of that sanction. Qualitative methodologies were used by way of focus groups and semi-structured interviews of judges at all jurisdictional levels to elucidate the purposes of both sanctions. These methods allowed a deeper investigation of the factors which may promote or inhibit such usage. The relative under-utilisation of the community service order as an alternative to the custodial sentence may in part be explained by a reluctance by some judges to equate it with a real custodial sentence. For most judges who use the sanction, particularly at summary level, community service serves a decarcerative function. The suspended sentence continues to be used extensively. It operates partly as a decarcerative penalty but the purpose of deterrence may in practice overtake its theoretical purpose namely the avoidance of custody. Despite ongoing criticism of executive agencies such as the Probation Service and the Prosecution in the supervision of such penalties both sanctions continue to be used. Engagement between the Criminal Justice actors may facilitate better outcomes in the use of either sanction. The purposes for which both sanctions are deployed find their meaning essentially in the practices of the judges themselves as opposed to any statutory or theoretical claims upon their use or purpose.

Conversion as transformative experience: a sociological study of identity formation and transformation processes

This thesis contributes to the understanding of the processes involved in the formation and transformation of identities. It achieves this goal by establishing the critical importance of ‘background’ and ‘liminality’ in the shaping of identity. Drawing mainly from the work of cultural anthropology and philosophical hermeneutics a theoretical framework is constructed from which transformative experiences can be analysed. The particular experience at the heart of this study is the phenomenon of conversion and the dynamics involved in the construction of that process. Establishing the axial age as the horizon from which the process of conversion emerged will be the main theme of the first part of the study. Identifying the ‘birth’ of conversion allows a deeper understanding of the historical dynamics that make up the process. From these fundamental dynamics a theoretical framework is constructed in order to analyse the conversion process. Applying this theoretical framework to a number of case-studies will be the central focus of this study. The transformative experiences of Saint Augustine, the fourteenth century nun Margaret Ebner, the communist revolutionary Karl Marx and the literary figure of Arthur Koestler will provide the material onto which the theoretical framework can be applied. A synthesis of the Judaic religious and the Greek philosophical traditions will be the main findings for the shaping of Augustine’s conversion experience. The dissolution of political order coupled with the institutionalisation of the conversion process will illuminate the mystical experiences of Margaret Ebner at a time when empathetic conversion reached its fullest expression. The final case-studies examine two modern ‘conversions’ that seem to have an ideological rather than a religious basis to them. On closer examination it will be found that the German tradition of Biblical Criticism played a most influential role in the ‘conversion’ of Marx and mythology the best medium to understand the experiences of Koestler. The main ideas emerging from this study highlight the fluidity of identity and the important role of ‘background’ in its transformation. The theoretical framework, as constructed for this study, is found to be a useful methodological tool that can offer insights into experiences, such as conversion, that otherwise would remain hidden from our enquiries.

An exploration of the positive and negative relationships associated with the development of asthma and atopic disorders in primary school children in Cork

Childhood asthma, allergic rhinitis and eczema are complex heterogenic chronic inflammatory allergic disorders which constitute a major burden to children, their families. The prevalence of childhood allergic disorders is increasing worldwide and merely rudimentary understanding exists regarding causality, or the influence of the environment on disease expression. Phase Three of the International Study of Asthma and Allergy in Childhood (ISAAC) reported that Irish adolescents had the 4th highest eczema and rhinoconjunctivitis prevalence and 3rd highest asthma prevalence in the world. There are no ISAAC data pertaining to young Irish children. In 2002, Sturley reported a high prevalence of current asthma in Cork primary school children aged 6-9 years. This thesis comprises of three cross-sectional studies which examined the prevalence of and associations with childhood allergy and a quasi-retrospective cohort study which observed the natural history of allergy from 6-9 until 11-13 years. Although not part of ISAAC, data was attained by parentally completed ISAAC-based questionnaires, using the ISAAC protocol. The prevalence, natural history and risk factors of childhood allergy in Ireland, as described in this thesis, echo those in worldwide allergy research. The variations of prevalence in different populations worldwide and the recurring themes of associations between childhood allergy and microbial exposures, from farming environments and/or gastrointestinal infections, as shown in this thesis, strengthen the mounting evidence that microbial exposure on GALT may hold the key to the mechanisms of allergy development. In this regard, probiotics may be an area of particular interest in allergy modification. Although their effects in relation to allergy, have been investigated now for several years, our knowledge of their diversity, complex functions and interactions with gut microflora, remain rudimentary. Birth cohort studies which include genomic and microbiomic research are recommended in order to examine the underlying mechanisms and the natural course of allergic diseases.

Experiences of the foster care process in the Republic of Ireland: retrospective accounts from biological children of foster carers

This thesis examines the experiences of the biological children of foster carers. In particular it explores their experiences in relation to inclusion, consultation and decision-making. The study also examines the support and training needs of birth children in foster families. Using a qualitative methodology in-depth, semi-structured interviews were conducted with fifteen birth children of foster carers aged between 18 and 30 years. The research findings show that for the majority of birth children, fostering was overall a positive experience which helped them develop into individuals who were caring and nonjudgemental. However, from the data collected in this study, it is clear that fostering also brings a range of challenges for birth children in foster families, such as managing feelings of loss, grief, jealousy and guilt when foster children leave. Birth children are reluctant to discuss these issues with their parents and often did not approach fostering social workers as they did not have a meaningful relationship in order to discuss their concerns. The findings also demonstrate that birth children undertake a lot of emotional work in supporting their parents, birth siblings and foster siblings. Despite the important role played by birth children in the fostering process, this contribution often goes unrecognised and unacknowledged by fostering professionals and agencies with birth children not included or consulted about foster care decisions that affect them. It is argued here that birth children are viewed by foster care professionals and agencies from a deficit based perspective. However, this study contends that it is not just foster parents who are involved in the foster care process, but the entire foster family. The findings of this study show that birth children are competent social actors capable of making valuable contributions to foster care decisions that affect their lives and that of their family.