Fibonacci sequence weighted SAR ADC as golden section search

Arai, Hajime; Arafune, Takuya; Shibuya, Shohei; Kobayashi, Yutaro; Asami, Koji; Kobayashi, Haruo

doi:10.1109/ispacs.2017.8266559

Cited by 4 publications

(5 citation statements)

References 5 publications

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“…The optimization problem for optimal bandwidth allocation is nonlinear one‐dimensional power minimization problem. Nonlinear optimization methods 'Golden Search'and 'Fibonnacci Search' 22 are performed on the optimization problem defined in Section 6. The values of

\beta

obtained from Golden Search and Fibonnacci Search are given in Table 4.…”

Section: Resultsmentioning

confidence: 99%

“…The optimization problem formulated in the proposed work is non‐linear, unconstrained, and one‐dimensional. Optimization algorithms, such as the golden search method and Fibonacci search method, 22 are commonly used to efficiently locate the extremes of the objective function that is difficult to differentiate. The Golden Search method uses iterative search within a predetermined interval to do power minimization.…”

Section: Optimal Bandwidth Allocation To Improve System Power Efficiencymentioning

confidence: 99%

“…The users in far and near group satisfy their demands using NOMA transmissions only in this case. The power required by NOMA transmissions to meet target data rate requirement is given in Equation (22). Let P II 𝛽 be the power required by the system in Case II.…”

Section: Case Ii: N F = N Nmentioning

confidence: 99%

“…The optimization problem for optimal bandwidth allocation is nonlinear one-dimensional power minimization problem. Nonlinear optimization methods 'Golden Search'and 'Fibonnacci Search' 22 are performed on the optimization problem The optimization algorithm needs to be carefully chosen because it influences the time complexity and optimality of the proposed solution. The time complexity of the algorithm increases as the number of iterations required for convergence rises.…”

Section: Solution Algorithms To Solve the Optimization Problemmentioning

confidence: 99%

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User grouping and resource management in efficient NOMA‐OMA transmission scheme for infotainment message dissemination in VANETs

Sreelakshmi

Keerthi

Deepthi

2023

Trans Emerging Tel Tech

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The data distribution for infotainment services at vehicular ad‐hoc networks (VANETs) has become a research hotspot in recent years. Non‐orthogonal multiple access (NOMA) is accepted as an enabling technology for 5G and beyond due to its improved spectral efficiency. In this work, we consider a VANET communication scenario where users have common data demands such as high‐density maps, local entertainment/shopping options or other popular media content. For such a scenario, we propose an efficient clustering scheme together with a hybrid NOMA‐OMA scheme for improved spectral and power efficiency. For this setup, we also develop an optimal bandwidth allocation strategy to improve the power efficiency further. We formulate a one dimensional nonlinear power minimization problem such that the bandwidth allocation for the system can be optimized. The complexity and optimality analysis of optimization algorithms used for power minimization are performed. The improved performance of the proposed scheme in terms of power efficiency, spectral efficiency and latency performance is showcased in comparison to conventional NOMA and OMA approaches.

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\beta

obtained from Golden Search and Fibonnacci Search are given in Table 4.…”

Section: Resultsmentioning

confidence: 99%

Section: Optimal Bandwidth Allocation To Improve System Power Efficiencymentioning

confidence: 99%

Section: Case Ii: N F = N Nmentioning

confidence: 99%

Section: Solution Algorithms To Solve the Optimization Problemmentioning

confidence: 99%

See 2 more Smart Citations

User grouping and resource management in efficient NOMA‐OMA transmission scheme for infotainment message dissemination in VANETs

Sreelakshmi

Keerthi

Deepthi

2023

Trans Emerging Tel Tech

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“…The Fibonacci section search algorithm is used for finding effectively the extreme value of the unimodal function. Then we found the equivalence between the Fibonacci sequence weighted SAR ADC and the SAR ADC based on the Fibonacci section search algorithm using the unimodal function obtained by the absolute value of the difference between the ADC input voltage and the internal DAC output [54].…”

Section: Fibonacci Sequence Weighted Sar Adc As Fibonacci Section Searchmentioning

confidence: 99%

How the Author's Group Came Up with Ideas in Analog/Mixed-Signal Circuit and System Area

KOBAYASHI

2024

IEICE Trans. Fundamentals

Self Cite

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This article reviews the author's group research achievements in analog/mixed-signal circuit and system area with introduction of how they came up with the ideas. Analog/mixed-signal circuits and systems have to be designed as well-balanced in many aspects, and coming up ideas needs some experiences and discussions with researchers. It is also heavily dependent on researchers. Here, the author's group own experiences are presented as well as their research motivations.

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New regularities of segment division according to the golden ratio

Kosobutskyy¹,

Oksentyuk²

2022

CDS

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The paper investigates four problems on the dividing a unit segment by the "golden" proportion. Namely, the general model of the unit segment "golden" division, the decomposition of a square trinomial, the "golden" division of a unit segment by a point with coordinate x<12 the "golden" division of a unit segment with loss of "memory". In this article, the concept of decomposition is used as elevation to the degree of a quadratic trinomial. The binary division of a unit segment into two unequal parts with the properties of the "golden" proportion is realized at an arbitrary point in the phase plane 0pq , and the decomposition of a square trinomial leads to the formation of recurrent sequences with Fibonacci properties. It can be noted that the well-known "golden" ratio between the parts of the binary division is most likely a partial imitation of the theorems of Viet and Poincaré. The rules of the "golden" division for the case x>12 are well studied. Therefore, the regularities for the case x<12 were researched. Despite the fact that the numbers ψ,φ are expressed through each other, from the point of view of the "golden" division, both realizations with quantitative characteristics Yφ|L=1=φ and Xψ|L=1=ψ are independent and equal, although their quantitative characteristics can be related to each other with the appropriate formulas. Geometric progressions were constructed for numbers φ and ψ for whole positive values n≥0 of the exponent to confirm the independence and equality of both models. Quantitative characteristics of the "golden" division of a unit segment by two points with coordinates in intervals x>12 and x<12 interconnected by a nonlinear relation of parabolic type ψ=φ2 . In the classical "golden" section theory, it is assumed that after distribution, the parts of the segment do not change their spatial directions, and they coincide with the direction of the original segment, i.e. α=0 . In this article the case α≠0 was studied when, after the distribution, the spatial orientation of the distribution elements changes. The angular dependence of the "golden" division of a unit segment with the loss of "memory" of its parts on the spatial orientation after division, shows a known angle α|p→1→π3 of inclination on the lateral surface of the Hyops.

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Fibonacci sequence weighted SAR ADC as golden section search

Cited by 4 publications

References 5 publications

User grouping and resource management in efficient NOMA‐OMA transmission scheme for infotainment message dissemination in VANETs

User grouping and resource management in efficient NOMA‐OMA transmission scheme for infotainment message dissemination in VANETs

How the Author's Group Came Up with Ideas in Analog/Mixed-Signal Circuit and System Area

New regularities of segment division according to the golden ratio

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