Proceedings ArticleDOI
A unified algorithm for elementary functions
J. S. Walther
- pp 379-385
TLDR
This paper describes a single unified algorithm for the calculation of elementary functions including multiplication, division, sin, cos, tan, arctan, sinh, cosh, tanh, arCTanh, In, exp and square-root.Abstract:
This paper describes a single unified algorithm for the calculation of elementary functions including multiplication, division, sin, cos, tan, arctan, sinh, cosh, tanh, arctanh, In, exp and square-root The basis for the algorithm is coordinate rotation in a linear, circular, or hyperbolic coordinate system depending on which function is to be calculated The only operations required are shifting, adding, subtracting and the recall of prestored constants The limited domain of convergence of the algorithm is calculated, leading to a discussion of the modifications required to extend the domain for floating point calculationsread more
Citations
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Proceedings ArticleDOI
SVD by constant-factor-redundant-CORDIC
Jeong-A Lee,T. Lang +1 more
TL;DR: A constant-factor-redundant-CordIC (CFR-CORDIC) scheme is developed where the scale factor is forced to be constant while computing angles for SVD (singular value decomposition) and provides an execution time similar to that of redundant CORDIC with variable scaling factor, with significant saving in area.
Proceedings ArticleDOI
Reconfigurable CORDIC architectures for multi-mode and multi-trajectory operations
TL;DR: This paper presents reconfigurable CORDIC (Coordinate Rotation Digital Computer) architectures which can be configured to operate either for circular or hyperbolic trajectories in rotation as well as vectoring-modes.
Journal ArticleDOI
Directions in DSP processors
TL;DR: It is argued that multiple arithmetic units and functionally enhanced arithmetic units are promising directions for further evolution of the datapath architecture.
Journal ArticleDOI
Reconfigurable Architecture of UFMC Transmitter for 5G and Its FPGA Prototype
TL;DR: The proposed architecture is the first reconfigurable architecture that has the flexibility to choose the number of subcarriers in a subband without any change in hardware resources and is comparable with the error bound.
Brief Contributions Error Analysis and Reduction for Angle Calculation Using the CORDIC Algorithm
TL;DR: In this article, the authors consider the errors appearing in angle computations with the CORDIC algorithm (circular and hyperbolic coordinate systems) using fixed-point arithmetic and show that the error is acceptable only if an input normalization stage is included, making unsatisfactory other previous proposals to reduce the error.
References
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Journal ArticleDOI
The CORDIC Trigonometric Computing Technique
TL;DR: The trigonometric algorithms used in this computer and the instrumentation of these algorithms are discussed in this paper.
Journal ArticleDOI
Decimal-Binary Conversions in CORDIC
TL;DR: The CORDIC conversion technique is sufficiently general to be applied to decimal-binary conversion problems involving other mixed radix systems and other decimal codes.