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Inverse trigonometric functions

About: Inverse trigonometric functions is a research topic. Over the lifetime, 854 publications have been published within this topic receiving 11141 citations. The topic is also known as: arcus function & antitrigonometric function.


Papers
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Proceedings ArticleDOI
24 Dec 2012
TL;DR: A parametric CORDIC IP is presented, implementing fixed point arithmetic (sine, cosine, and arctangent) trigonometric functions evaluation, using the VHDL '93 backwards-compatible version of the fixed point package, as defined according to the V HDL 2008 standard.
Abstract: In this paper, a parametric CORDIC IP is presented, implementing fixed point arithmetic (sine, cosine, and arctangent) trigonometric functions evaluation. The VHDL design uses parameters to define the bitwidth and the precision of the input and output signals. Important design options for hardware implementation include iterative, unrolled and unrolled pipelined architectures of the CORDIC module. The design uses the VHDL '93 backwards-compatible version of the fixed point package, as defined according to the VHDL 2008 standard. Hardware performance analysis results are presented in this paper for more than 75 circuit variations implemented on a Virtex-5 Xilinx FPGA, each for different parameter values of the proposed CORDIC module. A maximum 47% increase of speed, and 57% area reduction are accomplished, in comparison with other designs.

2 citations

Journal ArticleDOI

2 citations

Proceedings ArticleDOI
31 Mar 2000
TL;DR: A pipelined architecture for inverse discrete cosine transform (IDCT) is presented, derived by applying vertical projection to in-place IDCT algorithm, which is modular and easy to pipeline.
Abstract: In this paper, a pipelined architecture for inverse discrete cosine transform (IDCT) is presented Pipeline architectures are popular in parallel fast Fourier transform implementations but they are rare in IDCT implementations due to the irregularities in fast IDCT algorithms The proposed architecture is derived by applying vertical projection to in-place IDCT algorithm The resulting structure is modular and easy to pipeline The word width requirements in the internal arithmetic are estimated to fulfil the requirements set by IEEE standard for 8×8 inverse cosine transform

2 citations

Journal ArticleDOI
TL;DR: The burden of the software application of the proposed algorithm is greatly reduced by not using the sector selection algorithm, the region selection algorithms, and the on-state time allocation process as the proposed modulation can directly control the switch on- state time.
Abstract: The present paper proposes a direct space vector modulation and novel balance algorithm for easy software application of three-level converters which operate in three-phase. In the case of the conventional space vector modulation, to get the on-state times of the switches, the dwell times of the three nearest stationary vectors, which are obtained after sector and region selection algorithms, should be rearranged. These processes, therefore, contain diverse conditional statements and complicated calculations such as inverse trigonometric functions and square roots. However, the burden of the software application of the proposed algorithm is greatly reduced by not using the sector selection algorithm, the region selection algorithm, and the on-state time allocation process as the proposed modulation can directly control the switch on-state time. In a three-level topology, it is required to balance top and bottom capacitor voltages because the DC-link voltage is composed of two capacitor voltages; the unbalanced voltage of each DC-link capacitor causes the overvoltage of the switching devices. Thus, the DC-link voltage balancing algorithm is proposed, and it is also very simple and effective without additional circuits because it controls the switch on-state time directly as well. The 5-kW prototype proved the validity of the proposed algorithm with its feasibility.

2 citations

Journal Article
TL;DR: In this paper, the authors investigated the weakening conditions which are necessary to an important trigonometric inequality, and came to the conclusion that the supremum bounded variation condition is sufficient.
Abstract: This paper investigates the problem of the weakening conditions which are necessary to an important trigonometric inequalityPeople have generalized that sequence to mean value bounded variation sequenceBy Abel’s transformation,appropriate scalability and other methods,the authors generalize the trigonometric inequality and come to the conclusion in the supremum bounded variation condition

2 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202335
202298
202134
202027
201918
201814