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This paper describes two interleaver structures that reduce the memory requirement for the storage of interleaver rules. The first structure offers memory reductions of more than 50%, compared to storing the entire interleaver vector. The second structure is useful when a range of interleaver sizes are to be stored, offering memory reductions asymptotically approaching 50%. By combining the two st
In this paper we study the problem of unique reconstruction of the quantum graphs. The idea is based on the trace formula which establishes the relation between the spectrum of Laplace operator and the set of periodic orbits, the number of edges and the total length of the graph. We analyse conditions under which is it possible to reconstruct simple graphs containing edges with rationally dependen
Many people suffering from chronic kidney disease are in need of a kidney transplant. A problem in the health care is that patients cannot undergo surgery if they have too much belly fat. Regular exercise and physical activity are therefore crucial for this group of people. A project group at the Skåne University Hospital has recently been established to help patients with chronic kidney disease t
The topic of the thesis is re-initialization of multistep methods for the solution of ordinary differential equations, in which there are frequent discontinuities in first or higher derivatives. There are self-starting algorithms to start or restart a multistep method. It is normally started by first using a one-step method and then increasing the order successively until the working order is reac
Contractors who start building based on incomplete documents will always require many costly solutions. The cost to correct mistakes in the beginning of the project is less than the cost to correct mistakes at the end of the project when the admission takes over. Factors that contribute to these large costs are in the planning stage, when transferring information and lack of communication. Collabo
Ultrasound Optical Tomography (UOT) is a proposed technique, which combines ultrasound imaging and optical imaging in a new way to detect, e.g., blood oxygenation and tumors deep inside biological tissue, where the ultrasound provides an excellent spatial resolution, and the optical imaging gives a high contrast of different tissues according to optical properties. However, the challenges of this
Chirality of organic molecules plays a big role in areas ranging from medicine to material science, yet the synthesis of such entities in one enantiomeric form remains a challenge. Asymmetric synthesis is a key process in modern chemistry and allows us to achieve the selective synthesis of one enantiomer over the other. The design and development of new chiral ligands for metals is an exciting are
This thesis presents the study of two-particle pseudorapidity correlations in pp-collisions at √s = 13 TeV using the ALICE detector at LHC, CERN. The correlation function was calculated as a function of multiplicity and was repeated for several multiplicity classes and different charge combinations in the forward-backward and central regions of the detector, respectively. The results reveal an enh
In this thesis a system is developed for robust time difference estimation for multiple microphones in reverberant environments, without any knowledge of the 3D positions of the microphones or the room. RANSAC is used to find line segments in sets of frames containing a number of the largest GCC-PHAT peaks. Focus is on real experiments with one moving sound source continuously playing music. The e
We solve a problem for a type of non-linear partial differential equation ("Ward's equation"). This is an equation arising naturally in the study of Coulomb gases and random normal matrix ensembles [4]. In this paper, we consider a problem for Ward's equation whose solutions are precisely the well-known Mittag-Leffler functions. Our solution to this problem generalizes certain results obtained in
We extend a newly introduced framework for the simulation of shape memory alloys undergoing martensite-austenite phase-transformations by allowing for the evolution of individual plastic deformations in each phase considered. The goal is to obtain a generalised model which will facilitate the reflection of the characteristic macroscopic behaviour of SMA as well as TRIP steels. Particularly, we sho
Assume that we have two perspective images with known intrinsic parameters except for an unknown common focal length. It is a minimally constrained problem to find the relative orientation between the two images given six corresponding points. To this problem which to the best of our knowledge was unsolved we present an efficient solver. Through numerical experiments we demonstrate that the algori
The learning parity with noise (LPN) problem has recently proved to be of great importance in cryptology. A special and very useful case is the Ring-LPN problem, which typically provides improved efficiency in the constructed cryptographic primitive. We present a new algorithm for solving the Ring-LPN problem in the case when the polynomial used is reducible. It greatly outperforms the previous al
The aim of this thesis was to contribute to the understanding of aspects related to home, health and participation for community living people with disability and identify different groups with different needs for interventions. Study I used focus groups to explore aspects of importance for participation. Twenty-nine people with Parkinson’s Disease participated in nine focus groups. Studies II-III
