Search for dissertations about: "Constant multiplication"

Showing result 1 - 5 of 11 swedish dissertations containing the words Constant multiplication.

2. 1. Low Power and Low complexity Constant Multiplication using Serial Arithmetic

   Author : Kenny Johansson; Lars Wanhammar; Oscar Gustafsson; Süleyman Demirsoy; Linköpings universitet; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; FIR filters; Computer arithmetic; Multiplication; Addition; Low power; Switching activity; Electronics; Elektronik;

   Abstract : The main issue in this thesis is to minimize the energy consumption per operation for the arithmetic parts of DSP circuits, such as digital filters. More specific, the focus is on single- and multiple-constant multiplication using serial arithmetic. The possibility to reduce the complexity and energy consumption is investigated. READ MORE

4. 2. Low Power and Low Complexity Shift-and-Add Based Computations

   Author : Kenny Johansson; Oscar Gustafsson; Lars Wanhammar; Izzet Kale; Linköpings universitet; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; FIR filters; Function approximation; Digital circuits; Computer arithmetic; Constant multiplication; Addition; Low power; Switching activity estimation; Electronics; Elektronik;

   Abstract : The main issue in this thesis is to minimize the energy consumption per operation for the arithmetic parts of DSP circuits, such as digital filters. More specific, the focus is on single- and multiple-constant multiplications, which are realized using shift-and-add based computations. The possibilities to reduce the complexity, i.e. READ MORE

5. 3. Systems of Linear First Order Partial Differential Equations Admitting a Bilinear Multiplication of Solutions

   Author : Jens Jonasson; Stefan Rauch; Sergio Benenti; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Cauchy–Riemann equations; holomorphic functions; algebra; MATHEMATICS; MATEMATIK;

   Abstract : The Cauchy–Riemann equations admit a bilinear multiplication of solutions, since the product of two holomorphic functions is again holomorphic. This multiplication plays the role of a nonlinear superposition principle for solutions, allowing for construction of new solutions from already known ones, and it leads to the exceptional property of the Cauchy–Riemann equations that all solutions can locally be built from power series of a single solution z = x + iy ∈ C. READ MORE

6. 4. Optimization of Rotations in FFTs

   Author : Fahad Qureshi; Oscar Gustafsson; Mario Garrido; Jarmo Takala; Linköpings universitet; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Discrete Fourier transform; Fast Fourier transform; twiddle factor multiplication;

   Abstract : The aims of this thesis are to reduce the complexity and increasethe accuracy of rotations carried out inthe fast Fourier transform (FFT) at algorithmic and arithmetic level.In FFT algorithms, rotations appear after every hardware stage, which are alsoreferred to as twiddle factor multiplications. READ MORE

7. 5. Aspects of the Duality between Supersymmetric Yang-Mills Theory and String Theory

   Author : Daniel Bundzik; Teoretisk partikelfysik - Geonomgår omorganisation; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematisk och allmän teoretisk fysik; classical mechanics; quantum mechanics; relativity; gravitation; statistical physics; thermodynamics; Natural science; Naturvetenskap; Physics; Fysik; Mathematical and general theoretical physics; Star product; Leigh-Strassler deformation; R-matrix; Integrability; Spin-chains; Fractional D-branes; type IIB string theory; AdS CFT-correspondence; gauge gravity correspondence; kvantmekanik; klassisk mekanik; termodynamik; statistisk fysik; relativitet;

   Abstract : This thesis deals with three topics related to the Ads/CFT correspondence. In Paper I, solutions describing the geometry of fractional D1-branes of Type IIB string theory are presented. The running coupling constant is computed on the gauge theory side. READ MORE