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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 calculations

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Citations
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Proceedings ArticleDOI

Transcedental functions on a shift-enabled reconfigurable device: CORDIC as a case-study

TL;DR: This work demonstrates that the previously introduced shift-enabled embedded reconfigurable array (ShEERA) yields speed performance very close to that of an ASIC generated with standard cells, but with a high degree of flexibility to eliminate recurring engineering costs.
Journal ArticleDOI

Implementation in Direct Digital Synthesizers (DDS) Based on CORDIC Algorithm

TL;DR: This paper offers structure of CORDIC, inserted with a pipelined unit that has exclusively negligible scope of adders and shifters, and tends to be applied in pivot mode as appropriately as vectoring mode.
Journal ArticleDOI

Review of Universal Modulator using Cordic Structure

TL;DR: The universal modulator will be designed around the CORDIC algorithms which can generate all most all digital modulation schemes such as ASK, PSK, FSK.
Dissertation

VLSI Implementation of Digital Signal Processing Algorithms for MIMO Detection and Channel Pre-Processing

Dimpesh Patel
TL;DR: This thesis presents an area and power efficient VLSI implementation of a 4×4 64-QAM Soft K-Best MIMO detector that attains the highest detection throughput of 2 Gbps and second lowest energy/bit reported in the literature.
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.
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