This master’s thesis deals with problems of noise source identification using nearfield acoustical holography (NAH). In the beginning there is the summary of basic terms and values of a sound pressure field, which is unnecessary for understanding of the theme. In the next part the thesis continues with more detailed description of the NAH technology and the historical context of its emergence. Measurement equipment which is used for scanning of sound pressure fields is also introduced. In addition, the kinds of NAH (according the shape of the wave front) are showed and the planar NAH is descripted most closely. Because of the NAH algorithms are implemented in the wave number domain (k-space), there is also a chapter focused to this problem in the thesis. There are briefly descripted some similar methods in next chapter, like statistically optimized NAH, (SONAH) and iterative NAH with recursive filtration. The main product of the thesis is the practical part represented by testing application. That is created in the Matlab environment and is able to calculate and display hologram of the scanned array by the planar NAH method using the “k-space” filter. The application supposes a planar sound source and in other cases the accuracy of the reconstruction is not guaranteed. There are also given some holograms calculated with the application.

The aim of this thesis is to design and evaluate k-space weighting filters for simultaneously improving the spatial and temporal resolution of cardiovascular MRI, with the ultimate goal of improving the accuracy of quantitative flow measurements, which are important for diagnosis and follow-up of heart dysfunction. Two different k-space filters were implemented and evaluated retrospectively to already acquired data. In addition, evaluation was performed with respect to tapering of the filters in the radial k-space direction, as well as accelerated imaging using undersampling. To better utilize the properties of the golden-angle acquisition, a k-space filter was also implemented where the temporal footprint increased in discrete steps, referred to as rings. The temporal footprint of each ring was calculated according to the Fibonacci sequence, and the starting position for each ring was computed to satisfy the Nyquist criterion. The k-space filters were evaluated in comparison to non-filtered reconstructions of cine and phase-contrast images. Motion-mode images were created from the cine images and used to evaluate the edge sharpness of the septal wall indicating the spatial resolution of the image. Phase-contrast images were used to measure peak flow velocity over the mitral valve, and the myocardial velocity in the early and late filling phases. The resolution of the peak is highly dependent on the temporal resolution. Measuring the peak velocity gave an indication of the temporal resolution, which could be compared to non-filter reconstructions. This study showed that k-space filters adapted to the Nyquist criterion improve the temporal resolution of peak velocity measures. Further investigation is justified to conclude if the performance exceeded the best performing method without k-space filters. However, the k-space filter showed substantial agreement with the best performing temporal footprint without k-space filter. / Syftet med arbetet är att designa och utvärdera k-space viktade filter för att förbättra den spatiala och temporala upplösningen av kardiovaskulär MRI, med målet att förbättra noggrannheten i kvantitativa flödesmätningar, som är viktiga för diagnos och uppföljning av hjärtdysfunktion. Två typer av k-space filter skapades och utvärderades retrospektivt på redan inhämtade data. Dessutom utfördes utvärdering med avseende på avsmalning av filtren i den radiella k-rymdsriktningen, såväl som accelererad avbildning med undersampling. För att bättre utnyttja egenskaperna hos den gyllene vinkeln skapades det ena k-rumsfilter så att det temporala fotavtrycket ökade i diskreta steg, så kallade ringar. Det temporala fotavtrycket för varje ring beräknades enligt Fibonacci talen, och startpositionen för varje ring beräknades så att den uppfyllde Nyquistkriteriet. k-Spacefiltren utvärderades i jämförelse med icke-filtrerade rekonstruktioner av tidsupplösta, anatomiska bilder (cine) och tidsupplösta faskontrastbilder. Bilder i motion-mode skapades från cine-bilderna och användes för att utvärdera kantskärpan av hjärtats skiljevägg (septum), vilket användes som en indikator för bildens spatiala upplösning. Faskontrastbilder användes för att mäta den maximala flödeshastigheten över mitralisklaffen och myokardiets hastighet i den tidiga och sena fyllnadsfasen. Maximal flödeshastighet är starkt beroende av den temporala upplösningen och gav därav en indikation på den temporala upplösningen. Denna studie visade att k-rumsfilter anpassade till Nyquist-kriteriet förbättrar den temporala upplösningen av topphastigheten. Ytterligare undersökning behövs dock för att säkerställa att prestandan översteg den bäst presterande metoden utan k-rumsfilter. Bilder rekonstruerade med filtret visade dock god överensstämmelse med det minsta temporala fotavtrycket, utan filter.