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
More filters
Proceedings ArticleDOI
On the Design of a Double Precision Logarithmic Number System Arithmetic Unit
Normand Belanger,Yvon Savaria +1 more
TL;DR: This paper investigates the integration of a 64-bit LNS arithmetic unit into a conventional microprocessor to devise an LNS unit that can be faster than an FPU for a broad range of applications, and to minimize the added hardware.
Journal ArticleDOI
A multiprocessor working as a fault-tolerant cellular automaton
TL;DR: A memory-coupled multiprocessor—well suited to bit-wise operation—can be utilized to operate as a 1024 items cellular processing unit.
Book ChapterDOI
Very high speed cordic implementation: algorithm transformation and novel carry-save architecture
H. Dawid,Heinrich Meyr +1 more
TL;DR: Transformations of the original CORDIC algorithm are derived which result in partially fixed iteration sequences no longer dependent on intermediate signs for the CORDic vectoring as well as rotation mode, and very fast and efficient carry-save architectures using redundant absolute value computation result from the transformed algorithms.
Proceedings ArticleDOI
Parallel implementations of adaptive multichannel least squares lattice filters
Bin Yang,J.F. Bohme +1 more
TL;DR: Efficient, numerically stable and highly concurrent algorithms for adaptive multichannel least-squares lattice filters are presented and parallel array architectures for high-speed implementations are discussed.
Proceedings ArticleDOI
Design and evaluation of universal modulators
TL;DR: Design and FPGA implementation of an universal modulator using different approaches is proposed, which is capable of generating analog modulation schemes such as amplitude modulation (AM), frequency modulation (FM), and phase modulation (PM) as well as digital modulation schemes.
References
More filters
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.