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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Proceedings ArticleDOI
Efficient complex matrix transformations with CORDIC
TL;DR: A two-sided unitary transformation (Q transformation) structured to permit integrated evaluation and application using CORDIC primitives is introduced and it is shown that a Q transformation can be evaluated and/or applied in /spl ap/10n, where n is the desired bit-precision.
Dissertation
Performance Comparison of GPU, DSP and FPGA implementations of image processing and computer vision algorithms in embedded systems
TL;DR: The objective of this thesis is to compare the suitability of FPGAs, GPUs and DSPs for digital image processing applications, and an efficient FPGA implementation of direct normalized cross-correlation is created and compared against a GPU implementation from the OpenCV library.
Proceedings ArticleDOI
Merged CORDIC algorithm
TL;DR: This merged algorithm, its error analysis, and software simulation results are presented, showing this structure, the shifter size is reduced to 1/2 (1+9/n+1).
Proceedings ArticleDOI
Adaptive CORDIC: Using Parallel Angle Recoding to Accelerate CORDIC Rotations
TL;DR: A simpler implementation of the angle selection scheme that allows the angle recoding method to be used dynamically for any arbitrary angle of rotation, and has the advantage that all the angle constants are found in parallel, in a single step, without having to perform successive CORDIC iterations.
Proceedings ArticleDOI
Low-complexity multi-purpose IP Core for quantized Discrete Cosine and integer transform
TL;DR: The XVID experimental and FPGA synthesis results show that the proposed architecture not only achieves multiplierless video transformations efficiently, but also retains good transformation quality.
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.