2006 · 16 citations · 5 references
Mathematical ProgrammingEngineeringHardware AlgorithmComputer ArchitectureDivider ArchitectureArray ComputingMixed-signal Integrated CircuitSystems EngineeringParallel ComputingComputational GeometryReal Data TypeComputer EngineeringComputer ScienceFpga DesignSignal ProcessingVlsi ArchitectureDigital Circuit DesignArea Conservative ArchitectureFixed-point Implementation
In this paper a fixed-point implementation of robust complex valued divider architecture is presented. The architecture uses feedback loops and time multiplexing strategies resulting in a fast and area conservative architecture. The architecture has good numerical properties and the result is accurate to less than one ulp. A combination of low latency and high throughput rate makes the architecture ideal for modern high speed signal processing applications. The complex valued divider architecture was implemented and tested on a Xilinx Virtex-II FPGA, clocked at 100MHz, and can easily be ported to an ASIC. The FPGA implementation is used as a core component in a matrix inversion implementation.
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Fast division algorithm with a small lookup table
Patrick C. K. Hung, Hossam A. H. Fahmy, Oskar Mencer et al. · 2003 · 56 citations
Mathematical Programming, Division Algorithm, New Division Algorithm +21
Redundant binary Booth recoding
C.N. Lyu, David W. Matula · 2002 · 44 citations
G. W. Stewart · ACM Transactions on Mathematical Software · 1985 · 28 citations · Full text
Underflow and the Denormalized Numbers
Jerome T. Coonen · Computer · 1981 · 21 citations