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
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Journal Article
Radix-2 CORDIC Method with ConstantScale Factor
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Book ChapterDOI
Signal Processing Architecture Implementation Methodologies for Next-Generation Remote Healthcare Systems
TL;DR: This chapter identifies and does the review on the traditional computationally intensive signal processing algorithms which are of significant use for healthcare related applications, focuses on the corresponding low-complexity architecture design and formulates the model of computing the overall hardware complexity of these architectures.
Proceedings ArticleDOI
A pre-calculation beamformer design based on FPGA for ultrasound SA imaging
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FPGA computation of magnitude of complex numbers using modified CORDIC algorithm
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TL;DR: This work presents computation of the magnitude of complex numbers using a modified version of the CORDIC algorithm that uses only five iterations and the correction value is derived using the coordinate and magnitude values obtained after the fifth iteration.
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.