Proceedings ArticleDOI
A unified algorithm for elementary functions
J. S. Walther
- pp 379-385
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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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Journal ArticleDOI
The differential CORDIC algorithm: Constant scale factor redundant implementation without correcting iterations
H. Dawid,Heinrich Meyr +1 more
TL;DR: It is proved that, due to the lack of additional operations, DCORDIC compares favorably with the previously known redundant methods in terms of latency and computational complexity.
Proceedings ArticleDOI
Recursive ladder algorithms for ARMA modeling
TL;DR: In this paper, the extension of the all-pole (AR) exact least-squares ladder algorithms to the pole-zero (ARMA) case is presented, based on a general set of recursions obtained by a geometric approach.
Proceedings ArticleDOI
Duality cache for data parallel acceleration
TL;DR: This paper presents a holistic approach of building Duality Cache system stack with techniques of performing in- cache floating point arithmetic and transcendental functions, enabling a data-parallel execution model, designing a compiler that accepts existing CUDA programs, and providing flexibility in adopting for various workload characteristics.
Journal ArticleDOI
A high-performance/low-latency vector rotational CORDIC architecture based on extended elementary angle set and trellis-based searching schemes
TL;DR: The proposed EEAS-based CORDIC algorithm can improve the overall SQNR performance by up to 25 dB compared with previous works, and a novel scaling operation is suggested, called Extended Type-II (ET-II) scaling operation, which results in much smaller quantization error than conventional Type-I scaling operation in the numerical approximation of scaling factor.
Journal ArticleDOI
Householder CORDIC algorithms
Shen-Fu Hsiao,J.-M. Delosme +1 more
TL;DR: VLSI implementations of Householder CORDIC processors are presented and their speed and area are estimated, and the method employed to prove the convergence of these multidimensional algorithms differs from the one used in the 2D case.
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.