Linear Algebra for Array Signal Processing on a Massively Parallel Dataflow Architecture

Abstract: This thesis provides the deliberations about the implementation of Gentleman-Kung systolic array for QR decomposition using Givens Rotations within the context of radar signal processing. The systolic array of Givens Rotations is implemented and analysed using a massively parallel processor array (MPPA), Ambric Am2045. The tools that are dedicated to the MPPA are tested in terms of engineering efficiency. aDesigner, which is built on eclipse environment, is used for programming, simulating and performance analysing. aDesigner has been produced for Ambric chip family. 2 parallel matrix multiplications have been implemented to get familiar with the architecture and tools. Moreover different sized systolic arrays are implemented and compared with each other. For programming, ajava and astruct languages are provided. However floating point numbers are not supported by the provided languages. Thus fixed point arithmetic is used in systolic array implementation of Givens Rotations. Stable and precise numerical results are obtained as outputs of the algorithms. However the analysis results are not reliable because of the performance analysis tools.