Bayesian Estimation of Noise

In mathematical modeling the estimation of the model parameters is one of the most common problems. The goal is to seek parameters that fit to the measurements as well as possible. There is always error in the measurements which implies uncertainty to the model estimates. In Bayesian statistics all the unknown quantities are presented as probability distributions. If there is knowledge about parameters beforehand, it can be formulated as a prior distribution. The Bays’ rule combines the prior and the measurements to posterior distribution. Mathematical models are typically nonlinear, to produce statistics for them requires efficient sampling algorithms. In this thesis both Metropolis-Hastings (MH), Adaptive Metropolis (AM) algorithms and Gibbs sampling are introduced. In the thesis different ways to present prior distributions are introduced. The main issue is in the measurement error estimation and how to obtain prior knowledge for variance or covariance. Variance and covariance sampling is combined with the algorithms above. The examples of the hyperprior models are applied to estimation of model parameters and error in an outlier case.

A Note on the periodic orbits and topological entropy of graph maps

This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits

Modeling and Analysis of Noise and Interconnects for On-Chip Communication Link Design

This thesis considers modeling and analysis of noise and interconnects in onchip communication. Besides transistor count and speed, the capabilities of a modern design are often limited by on-chip communication links. These links typically consist of multiple interconnects that run parallel to each other for long distances between functional or memory blocks. Due to the scaling of technology, the interconnects have considerable electrical parasitics that affect their performance, power dissipation and signal integrity. Furthermore, because of electromagnetic coupling, the interconnects in the link need to be considered as an interacting group instead of as isolated signal paths. There is a need for accurate and computationally effective models in the early stages of the chip design process to assess or optimize issues affecting these interconnects. For this purpose, a set of analytical models is developed for on-chip data links in this thesis. First, a model is proposed for modeling crosstalk and intersymbol interference. The model takes into account the effects of inductance, initial states and bit sequences. Intersymbol interference is shown to affect crosstalk voltage and propagation delay depending on bus throughput and the amount of inductance. Next, a model is proposed for the switching current of a coupled bus. The model is combined with an existing model to evaluate power supply noise. The model is then applied to reduce both functional crosstalk and power supply noise caused by a bus as a trade-off with time. The proposed reduction method is shown to be effective in reducing long-range crosstalk noise. The effects of process variation on encoded signaling are then modeled. In encoded signaling, the input signals to a bus are encoded using additional signaling circuitry. The proposed model includes variation in both the signaling circuitry and in the wires to calculate the total delay variation of a bus. The model is applied to study level-encoded dual-rail and 1-of-4 signaling. In addition to regular voltage-mode and encoded voltage-mode signaling, current-mode signaling is a promising technique for global communication. A model for energy dissipation in RLC current-mode signaling is proposed in the thesis. The energy is derived separately for the driver, wire and receiver termination.

Spatial variability of noise level in agricultural machines

The knowledge of the spatial variability of noise levels and the build of kriging maps can help the evaluation of the salubrity of environments occupied by agricultural workers. Therefore, the objective of this research was to characterize the spatial variability of the noise level generated by four agricultural machines, using geostatistics, and to verify if the values are within the limits of human comfort. The evaluated machines were: harvester, chainsaw, brushcutter and tractor. The data were collected at the height of the operator's ear and at different distances. Through the results, it was possible to verify that the use of geostatistics, by kriging technique, made it possible to define areas with different levels for the data collected. With exception of the harvester, all of machines presented noise levels above than 85 dB (A) near to the operator, demanding the use of hearing protection.

Entropy of a correlated system of nucleons

Realistic nucleon-nucleon interactions induce correlations to the nuclear many-body system, which lead to a fragmentation of the single-particle strength over a wide range of energies and momenta. We address the question of how this fragmentation affects the thermodynamical properties of nuclear matter. In particular, we show that the entropy can be computed with the help of a spectral function, which can be evaluated in terms of the self-energy obtained in the self-consistent Green's function approach. Results for the density and temperature dependences of the entropy per particle for symmetric nuclear matter are presented and compared to the results of lowest order finite-temperature Brueckner-Hartree-Fock calculations. The effects of correlations on the calculated entropy are small, if the appropriate quasiparticle approximation is used. The results demonstrate the thermodynamical consistency of the self-consistent T-matrix approximation for the evaluation of the Green's functions.

A Note on the periodic orbits and topological entropy of graph maps

This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits

A comparison of physical measurements of pure-tones, third-octave bands of noise and third-octave bands of speech to subjective judgments of audibility threshold, MCL and UCL for three normally hearing listeners

This study investigates the relation between physical measurements of pure-tones, third-octave bands of noise and third-octave bands of speech and subjective judgments of auditory threshold, most-comfortable listening level (MCL) and uncomfortable-listening level (UCL) for three normally hearing listeners.

The effectiveness of noise cancellation headphones for hearing impaired listeners

This paper discusses the use of noise cancellation headphones for hearing aid users to reduce background noise in order to improve speech discrimination.

Dimensions of the acoustic reflex as measured in a background of noise

This study examines whether background noise, presented at 10 dB below its reflex threshold, affects the acoustic reflex (AR) response for pure tones presented subsequent to the onset of the noise.

The effects of noise exposure on rock bands

This paper describes a study undertaken to study noise levels of rock music.

Synergistic effects of noise, kanamycin, and hyperoxia on ABR thresholds in CBA/J mice

Young CBA/J mice were exposed to noise, kanamycin, and/or hyperoxia by 30 days post-gestational age in order to determine if a synergistic effect exists on ABR thresholds.

The effects of noise exposure on nitric oxide synthase knockout mice

This paper studies the role of nitric oxide (NOS 1, NOS 2, and NOS 3 genes) in the mouse cochlea and in noise-induced hearing loss (NIHL). Mice genetically deficient of the NOS 2 and NOS 3 genes were protected from NIHL, indicating that one or both of these genes may be responsible for producing nitric oxide that damages the inner ear when exposed to harmful levels of noise.

Effect of unilateral hearing loss on the speech-evoked auditory brainstem response in the presence of noise

Speech-evoked auditory brainstem responses (ABRs) were acquired in quiet and in the presence of noise at two study sessions to investigate 1) test-retest variability and 2) subcortical representation of speech stimuli. Participants were adults with normal hearing in both ears who listened monaurally and adults with unilateral deafness. Results indicate consistency in responses across sessions and several differences between hearing groups for magnitudes of discrete components.

Evaluation of noise levels experienced by medically fragile neonates during emergency helicopter transport

There was a concern medically fragile infants may be exposed to high noise levels during emergency helicopter transport. This study had been initiated in 2007. Data was collected using a Larson Davis noise dosimeter. The purpose of this study was to collect additional data to evaluate the noise exposure experienced by medically fragile neonates during emergency transport via helicopter inbound/outbound of St. Louis Children’s Hospital, St. Louis, MO. The results suggested neonates may be exposed to noise levels ranging 85 to 95 dBA during transport. These high noise exposures may pose a risk to hearing.