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
Low latency & high precision CORDIC architecture using improved parallel angle recoding
Y Chandrakanth,M. Praveen Kumar +1 more
TL;DR: A improved PAR of CORDIC is presented with reduced latency from 10 cycles to 7 cycles and error of the CORDic is reduced 15% without any significant penalty on the power and area.
Proceedings ArticleDOI
FPGA Implementation of Pipelined CORDIC Sine Cosine Digital Wave Generator
Navdeep Prashar,Balwinder Singh +1 more
TL;DR: A hardware efficient Digital sine and cosine wave generator is designed and implemented using Pipelined CORDIC architecture and FPGA based architecture is presented and design has been implemented using Xilinx 12.3 device.
Journal ArticleDOI
Multiplier-less VLSI architectures for radix-22 folded pipelined complex FFT core
TL;DR: This paper proposes multiplier‐less architectures for the implementation of radix‐22 folded pipelined complex FFT core based on coordinate rotation digital computer (CORDIC) and new distributed arithmetic (NEDA).
Proceedings ArticleDOI
A cost-effective and high-precision architecture for CORDIC-based adaptive lattice filters
TL;DR: The proposed filter architecture consists of simple components: a CORDIC processor and an adder, so that it can be implemented with a reduced amount of hardware.
Proceedings ArticleDOI
A digital sinusoid synthesis based on the postscaled CORDIC
TL;DR: To get 3 precision bits in the sine function generation, the mean error performance of the postscaled CORDIC digital sinusoidal generator is increased by about 35.24% compared with the prescaled Cordic digital sinuoidal generator.
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.