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
A novel CORDIC-based array architecture for the multidimensional discrete Hartley transform
TL;DR: This paper presents a new algorithm to compute M-D DHT through a special 1-D transform which is derived through considering both the separable computation and the efficient implementation with CORDIC architectures.
Proceedings ArticleDOI
Implementation of fast angle calculation and rotation using on-line CORDIC
Milos D. Ercegovac,T. Lang +1 more
TL;DR: The main contributions are the introduction of redundant (carry-free) addition to replace time-consuming conventional additions, the use of online arithmetic to reduce the communication bandwidth, maximize the overlap between successive operations, and replace area-expensive shifters by delays.
Journal ArticleDOI
CORDIC-based VLSI architecture for real time implementation of flat top window
TL;DR: A novel, flexible and hardware efficient VLSI architecture for flat top window using CORDIC (Co-ordinate rotation digital computer) along with control units to ensure high throughput is proposed.
Proceedings ArticleDOI
Generalized CORDIC for digital signal processing
TL;DR: The development of algorithms involving nonstationary processes and the limiting constraints of VLSI motivate the extension of the CORDIC concept in other directions, which can be applied not only to one-parameter groups but to other Lie groups as well, leading to generalized CORDic algorithms.
Journal ArticleDOI
A 6.7-MFLOPS floating-point coprocessor with vector/matrix instructions
TL;DR: An 80-bit floating-point coprocessor which implements 24 vector/matrix instructions and 22 mathematical functions is described and the performance of 6.7 MFLOPS in the vector-matrix multiplication at 20 MHz has been attained by the use of parallel operations.
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.