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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Journal ArticleDOI
Design and Implementation of a Generic CORDIC Processor and its Application as a Waveform Generator
TL;DR: The novelty of this work is the integration of both trigonometric and hyperbolic operations in the same processor, which achieves an increase in operating frequency at the cost of increased silicon area and optimal power dissipation.
Proceedings ArticleDOI
Real-time implementation of a GMM-based binaural localization algorithm on a VLIW-SIMD processor
Christopher Seifert,Joachim Thiemann,Lukas Gerlach,Tobias Volkmar,Guillermo Paya-Vaya,Holger Blume,Steven van de Par +6 more
TL;DR: This paper presents a real-time implementation of a Gaussian mixture model (GMM) based probabilistic sound source localization algorithm for a low-power VLIW-SIMD processor for hearing devices.
Proceedings ArticleDOI
A High-Efficiency Vector Interpolator Using Redundant CORDIC Arithmetic in Power-Aware 3-D Graphics Rendering
TL;DR: The hardware primitives for 3D rotation for high throughput 3D vector interpolation based on the CORDIC algorithm and the proposed architecture of the 3Dvector interpolator using redundant CORDic arithmetic is presented.
Proceedings ArticleDOI
Sine/cos generator for direct digital frequency synthesizer using pipelined CORDIC processor
P. Saravanan,S. Ramasamy +1 more
TL;DR: This paper presents a hardware efficient architecture by using CORDIC algorithm for the calculation of sine and cosine functions for DDFS using 180 nm standard CMOS technology and investigates its performance.
Dissertation
Interferometrische Sensoren mit Modulation der optischen Weglänge für die Fertigungsmesstechnik
TL;DR: In this paper, the optical path length modulation (OPLM) in the reference arm of an interferometric measurement system is used for measurements of nm accuracy with a measurement range of up to 100μm.
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.