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.

Market-oriented new product development of functional beverages

Strategic reviews of the Irish Food and Beverage Industry have consistently emphasised the need for food and beverage firms to improve their innovation and marketing capabilities, in order to maintain competitiveness in both domestic and overseas markets. In particular, the functional food and beverages market has been singled out as an extremely important emerging market, which Irish firms could benefit from through an increased technological and market orientation. Although health and wellness have been the most significant drivers of new product development (NPD) in recent years, failure rates for new functional foods and beverages have been reportedly high. In that context, researchers in the US, UK, Denmark and Ireland have reported a marked divergence between NPD practices within food and beverage firms and normative advice for successful product development. The high reported failure rates for new functional foods and beverages suggest a failure to manage customer knowledge effectively, as well as a lack of knowledge management between functional disciplines involved in the NPD process. This research explored the concept of managing customer knowledge at the early stages of the NPD process, and applied it to the development of a range of functional beverages, through the use of advanced concept optimisation research techniques, which provided for a more market-oriented approach to new food product development. A sequential exploratory research design strategy using mixed research methods was chosen for this study. First, the qualitative element of this research investigated customers’ choice motives for orange juice and soft drinks, and explored their attitudes and perceptions towards a range of new functional beverage concepts through a combination of 15 in-depth interviews and 3 focus groups. Second, the quantitative element of this research consisted of 3 conjoint-based questionnaires administered to 400 different customers in each study in order to model their purchase preferences for chilled nutrient-enriched and probiotic orange juices, and stimulant soft drinks. The in-depth interviews identified the key product design attributes that influenced customers’ choice motives for orange juice. The focus group discussions revealed that groups of customers were negative towards the addition of certain functional ingredients to natural foods and beverages. K-means cluster analysis was used to quantitatively identify segments of customers with similar preferences for chilled nutrient-enriched and probiotic orange juices, and stimulant soft drinks. Overall, advanced concept optimisation research methods facilitate the integration of the customer at the early stages of the NPD process, which promotes a multi-disciplinary approach to new food product design. This research illustrated how advanced concept optimisation research methods could contribute towards effective and efficient knowledge management in the new food product development process.

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.