In this thesis we use techniques from white noise analysis to study solutions of semilinear stochastic differential equations in a Hilbert space H: {dX[subscript]t = (AX[subscript]t + F(t,X[subscript]t)) dt + ơ(t,X[subscript]t) δB[subscript]t, t∈ (0,T], X[subscript]0 = ξ, where A is a generator of either a C[subscript]0-semigroup or an n-times integrated semigroup, and B is a cylindrical Wiener process. We then consider applications to forward interest rate models, such as in the Heath-Jarrow-Morton framework. We also reformulate a phenomenological model of the forward rate. / Thesis (Ph.D.) -- University of Adelaide, School of Mathematical Science, 2009

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<p>The society expects a global interconected digital communication system offering multimedia services, information on demand and interchange of information with a high data rates and low cost. </p><p>All this can not be realized with the terrestrial nets used nowadays cause it is necessary a high economic inversion to get a competitive capacity to interchange information between server and user. The next generation of satellite must have characteristics which improve the current generation, one important requirement is that the same satellite could make a treatment of the different input signals. With this we can avoid a spent of lots of money and time because we do not need terrestrial stations which modify the signals before the information is sent to the satellite.</p><p>For all this, we need an on board treatment of the information in the satellite. We design a frequency bank reallocation (FBR) network by using a filter bank system. This is the first step of the thesis. After we get FBR we introduce some different input signals and analyze the output, using parameters like symbol error rate and variance.</p><p>One important part in the thesis is the QAM signals used to test our system. For this, we design a modulator and a demodulator of QAM4, 16 and 64, paying more attention in the QAM64, cause is the modulation where more errors can appear due to we have got more possible chances which means more precision in the recovery of the signal.</p>

<p>Researchers have recently combined clinical and cognitive areas of research in order to investigate the role of cognitive factors in explaining how emotional disorders are developed and maintained. It is believed that biased cognitive processing of emotionally relevant information can greatly affect emotional responses and behaviour where insights into such cognitive processes can have invaluable clinical implications.</p><p>The present thesis investigates the role of cognitive biases for information related to food and body appearance in individuals with eating disorders (ED) and those with non-clinically eating disorder-related concerns (NED). Are ED characterised by cognitive biases toward such information related to their specific concerns? Are such cognitive biases specific to clinical ED or present also in NED samples? Are cognitive biases operating at both conscious and unconscious levels of cognitive processing?</p><p>The tasks used to pursue these questions were: the emotional Stroop task, an Internet version of the emotional Stroop, Jacoby’s white noise paradigm and a recognition task. The influence of priming on the emotional Stroop task was also investigated in order to test whether the use of this task could be extended to more complex investigations than selective attention.</p><p>Results provide support for that cognitive processing of information related to eating and body appearance is biased in individuals with ED. It is, however, unclear whether such biased processing is specific to clinical ED. Findings further suggest that cognitive biases occur primarily at unconscious levels of cognitive processing. Support was also obtained for that the emotional Stroop task is sensitive to priming where initial body perception may be one factor influencing cognitive responses toward negative self referent words following exposure to thin ideal images. Results further suggest that the emotional Stroop task successfully can be administered via the Internet where manipulating task delivery and response mode may increase the sensitivity of this task. Some of the advantages of administering the emotional Stroop task via Internet over traditional methods are access to more heterogeneous samples, more ecologically valid situations, reduced costs and minimisation of demand characteristics.</p>

Researchers have recently combined clinical and cognitive areas of research in order to investigate the role of cognitive factors in explaining how emotional disorders are developed and maintained. It is believed that biased cognitive processing of emotionally relevant information can greatly affect emotional responses and behaviour where insights into such cognitive processes can have invaluable clinical implications. The present thesis investigates the role of cognitive biases for information related to food and body appearance in individuals with eating disorders (ED) and those with non-clinically eating disorder-related concerns (NED). Are ED characterised by cognitive biases toward such information related to their specific concerns? Are such cognitive biases specific to clinical ED or present also in NED samples? Are cognitive biases operating at both conscious and unconscious levels of cognitive processing? The tasks used to pursue these questions were: the emotional Stroop task, an Internet version of the emotional Stroop, Jacoby’s white noise paradigm and a recognition task. The influence of priming on the emotional Stroop task was also investigated in order to test whether the use of this task could be extended to more complex investigations than selective attention. Results provide support for that cognitive processing of information related to eating and body appearance is biased in individuals with ED. It is, however, unclear whether such biased processing is specific to clinical ED. Findings further suggest that cognitive biases occur primarily at unconscious levels of cognitive processing. Support was also obtained for that the emotional Stroop task is sensitive to priming where initial body perception may be one factor influencing cognitive responses toward negative self referent words following exposure to thin ideal images. Results further suggest that the emotional Stroop task successfully can be administered via the Internet where manipulating task delivery and response mode may increase the sensitivity of this task. Some of the advantages of administering the emotional Stroop task via Internet over traditional methods are access to more heterogeneous samples, more ecologically valid situations, reduced costs and minimisation of demand characteristics.

Novel event-triggered sensing and actuation strategies are presented for networked control systems with limited communication resources. Two architectures are considered: one with the controller co-located with the sensor and one with the control co-located with the actuator. A stochastic control problem with an optimal stopping rule is shown to capture two interesting instances of these architectures. The solution of the problem leads to a parametrization of the control alphabet as piecewise constant commands. The execution of the control commands is triggered by stopping rules for the sensor. In simple situations, it is possible to analytically derive the optimal controller. Examples illustrate how the new event-based control and sensing strategies outperform conventional time-triggered schemes. / <p>© 2008 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. Qc 20120220</p>

The society expects a global interconected digital communication system offering multimedia services, information on demand and interchange of information with a high data rates and low cost. All this can not be realized with the terrestrial nets used nowadays cause it is necessary a high economic inversion to get a competitive capacity to interchange information between server and user. The next generation of satellite must have characteristics which improve the current generation, one important requirement is that the same satellite could make a treatment of the different input signals. With this we can avoid a spent of lots of money and time because we do not need terrestrial stations which modify the signals before the information is sent to the satellite. For all this, we need an on board treatment of the information in the satellite. We design a frequency bank reallocation (FBR) network by using a filter bank system. This is the first step of the thesis. After we get FBR we introduce some different input signals and analyze the output, using parameters like symbol error rate and variance. One important part in the thesis is the QAM signals used to test our system. For this, we design a modulator and a demodulator of QAM4, 16 and 64, paying more attention in the QAM64, cause is the modulation where more errors can appear due to we have got more possible chances which means more precision in the recovery of the signal.

We approximate the solution of a quasilinear stochastic partial differential equa- tion driven by fractional Brownian motion B_H(t); H in (0,1), which was calculated via fractional White Noise calculus, see [5].

In this research, a horror game level was created using ”Unreal Engine 4” (Epic games, 2017) where white noise and processed noises was used as ambiences in order to see how it affects the perceived emotions amongst the participants. A pre-study was conducted in order to choose the stimuli for the main experiment and to test attributes. A pilot test was conducted to test the game level to find out any flaws. In the main experiment twenty participants took part in playing the finalized game level and answering a questionnaire. The results showed a change in the emotional quality depending on the noise being present, but it’s unclear if this is caused by the filtering of the noises alone or the filtering of the noises combined with other factors. A post hoc test was also conducted where a valence and arousal chart was created by letting the participants pin point the emotional attributes used in the experiments.