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1

Logarithmic ADC with Accumulation of Charge and Impulse Feedback : Analysis and Modeling

Mychuda Zynoviy, Mychuda Lesya, Antoniv Uliana, Szcześniak Adam

International Journal of Electronics and Telecommunications

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2021

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Vol. 67, No. 4

705--710

EN

This article is a presentation of the analysis of new class of logarithmic analog-to-digital converter (LADC) with accumulation of charge and impulse feedback. Development of mathematical models of errors, quantitative assessment of these errors taking into account modern components and assessing the accuracy of logarithmic analog-to-digital converter (LADC) with accumulation of charge and impulse feedback were presented. (Logarithmic ADC with accumulation of charge and impulse feedback – analysis and modeling).

2

Logarithmic ADC with Accumulation of Charge and Impulse Feedback : Construction, Principle of Operation and Dynamic Properties

Mychuda Zynoviy, Mychuda Lesya, Antoniv Uliana, Szcześniak Adam

International Journal of Electronics and Telecommunications

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2021

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Vol. 67, No. 4

699--704

EN

This article is a presentation of the analysis of new class of logarithmic analog-to-digital converter (LADC) with accumulation of charge and impulse feedback. LADC construction, principle of operation and dynamic properties were presented. They can also be part of more complex converters and systems based on LADC. LADC of this class is perspective for implementation in the form of integrated circuit, as the number of switched capacitors needed to conversion is minimized to one capacitor. (Logarithmic ADC with accumulation of charge and impulse feedback – construction, principle of operation and dynamic properties).

3

Gastropod Diversity in Mangrove Forests of Mojo Village, Ulujami District, Pemalang Regency, Indonesia

Puryono Sri, Suryanti Suryanti

Journal of Ecological Engineering

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2019

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Vol. 20, nr 1

165--173

EN

The development of mangrove ecosystem has a significant impact on fishery resources, such as gastropod. This research aimed at studying the community structure of mangrove forest in Mojo village, to identifying and analyzing the composition and diversity of gastropod, and investigating the effect of mangrove community on the abundance and gastropod. The research was conducted in Mojo Village, Ulujami District, Pemalang Region from November to December 2017. Identification of species and density was conducted on mangrove species by means of line and plot transects, while the gastropod was sampled from the field then identified in the laboratory. Three sampling stations were occupied in the data collection. The data analysis was conducted for diversity indices, including heterogeneity and evenness both for mangrove and gastropod. Statistical data analysis was conducted by regression to analyze the effect of mangrove density on the abundance of gastropod. The result showed that only three mangrove species were found in Mojo village, including Rhizophora mucronata, Avicennia marina and A. officinalis. Eight gastropod species were identified from mangrove forest of Mojo village. The most dominant gastropod species was Telescopium telescopium, followed by Cerithidea cingulata. The analysis of heterogeneity index showed a low value for mangrove community and medium value for the gastropod community, ranging from 0.353 to 0.720 and 1.462 to 1.812, respectively. Statistical data analysis showed that the density of R. mucronata and A. marina had a significant effect on the abundance of gastropod specieses, including Cerithidea quadrata and Casidula nucleus, both of which had logarithmic relationship trends.

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Analiza logarytmicznego analogowo-cyfrowego przetwornika z sukcesywną aproksymacją z uwzględnieniem pasożytniczych pojemności

Szcześniak A., Myczuda Z.

Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska

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2017

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T. 7, nr 2

110--114

PL

W artykule przedstawiono analizę logarytmicznego analogowo-cyfrowego przetwornika (LPAC) z sukcesywną aproksymacją z uwzględnieniem pasożytniczych pojemności przetwornika. Dla założonych parametrów struktury przetwornika przeprowadzono analizę matematyczną przy wybranych pojemnościach kondensatorów akumulujących. Określono kryterium, jakie powinno się stosować przy doborze pojemności kondensatorów akumulujących.

EN

This article is a presentation of analysis of logarithmic analog-to-digital converter (LADC) with successive approximation taking into account parasitic capacitances of the converter. For the assumed parameters of converter structure, mathematical analysis with chosen capacitances of accumulative capacitors has been conducted. A criterion for choosing capacitances of accumulative capacitors has been determined.

5

Norm estimates for functions of non-selfadjoint operators nonregular on the convex hull of the spectrum

Gil’ M.

Demonstratio Mathematica

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2017

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Vol. 50, nr 1

267--277

EN

We consider a bounded linear operator A in a Hilbert space with a Hilbert-Schmidt Hermitian component (A−A*)/2i. A sharp norm estimate is established for functions of A nonregular on the convex hull of the spectrum. The logarithm, fractional powers and meromorphic functions of operators are examples of such functions. Our results are based on the existence of a sequence An(n = 1, 2,...) of finite dimensional operators strongly converging to A, whose spectra belongs to the spectrum of A. Besides, it is shown that the resolvents and holomorphic functions of An strongly converge to the resolvent and corresponding function of A.

6

On Computing Discrete Logarithms in Bulk and Randomness Extractors

Durnoga K., Źrałek B.

Fundamenta Informaticae

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2015

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Vol. 141, nr 4

345--366

EN

We prove several results of independent interest related to the problem of computing deterministically discrete logarithms in a finite field. The motivation was to give a number-theoretic construction of a non-malleable extractor improving the solution from the recent paper Privacy Amplification and Non-Malleable Extractors via Character Sums by Dodis et al. There, the authors provide the first explicit example of a non-malleable extractor – a cryptographic primitive that significantly strengthens the notion of a classical randomness extractor. In order to make the extractor robust, so that it runs in polynomial time and outputs a linear number of bits, they rely on a certain conjecture on the least prime in a residue class. In this work we present a modification of their construction that allows to remove that dependency and address an issue we identified in the original development. Namely, it required an additional assumption about feasibility of finding a primitive element of a finite field. As an auxiliary result, we show an efficiently computable bijection between any order M subgroup of the multiplicative group of a finite field and a set of integers modulo M with the provision that M is a smooth number. Also, we provide a version of the baby-step giantstep method for solving multiple instances of the discrete logarithm problem in the multiplicative group of a prime field. It performs better than the generic algorithm when run on a machine without constant-time access to each memory cell, e.g., on a classical Turing machine.

7

Co to jest pH? : kłopoty chemików z logarytmami

Suwiński J.

Przemysł Chemiczny

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2014

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T. 93, nr 2

133-136

8

Logarytmiczne przetworniki analogowo-cyfrowe z nagromadzeniem ładunku i impulsowym sprzężeniem zwrotnym

Myczuda Z., Myczuda Ł., Szcześniak A., Antoniw U.

Przegląd Elektrotechniczny

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2013

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R. 89, nr 8

277--281

PL

W artykule przedstawiono analizę logarytmicznych przetworników analogowo-cyfrowych (LADC) z nagromadzeniem ładunku i impulsowym sprzężeniem zwrotnym, w tym budowę oraz zasadę działania, dynamiczne właściwości.

EN

This article is a presentation of the analysis of logarithmic analog-to-digital converters (LADC) with charge accumulation with pulse feedback. In this article LADC construction, principle of operation, dynamic properties.

9

A method of charge accumulation in the logarithmic analog-todigital converter with a successive approximation

Szcześniak A., Mychuda Z.

Przegląd Elektrotechniczny

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2010

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R. 86, nr 10

336-340

EN

This article is a presentation of the method of charge accumulation in the logarithmic analog-to-digital converter with a successive approximation (LADC). Also the results of measurements of this converter were presented. For the chosen parameters of the converter a simulation was carried out. Influence of LADC parameters for increasing accuracy and speed of conversion were given.

PL

W artykule przedstawiono metodę gromadzenia ładunku w logarytmicznym analogowo-cyfrowym przetworniku (LACP) z sukcesywną aproksymacją oraz wyniki badań tego przetwornika. Dla wybranych parametrów układu przetwornika przeprowadzono jego symulację. Podano wpływ parametrów LACP na zwiększenie dokładności jak i szybkości omawianego przetwornika.

10

On some correspondence between holomorphic functions in the unit disc and holomorphic functions in the left halfplane

Ligocka E.

Bulletin of the Polish Academy of Sciences. Mathematics

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2009

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Vol. 57, no 3-4

223-229

EN

We study a correspondence L between some classes of functions holomorphic in the unit disc and functions holomorphic in the left halfplane. This correspondence is such that for every ƒ and w ∈ H, exp(L(ƒ)(w)) = ƒ(exp w). In particular, we prove that the famous class S of univalent functions on the unit disc is homeomorphic via L to the class S(H) of all univalent functions g on H for which = g(w) + 2 πi) = g(w) + 2 πi and limRe z →-- ∞(g(w) - w)=0.

11

Why logarithms?

Tkačik Š

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

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2007

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Vol. 12

429-434

EN

In 16th and 17th century, the need for speed in complex calculation spurred the invention of a powerful mathematical tool known as LOGARITHM. The reduction of multiplication and division to addition and subtraction (likewise the reduction of a complex mathematical structure to more simple ones) is in the spirit of „prosthaphaeretic rules” of ancient Greeks. We discuss some mathematical ideas related to logarithms and present some historical notes.

12

O wielkościach logarytmicznych w elektryce

Pawluk K.

Nowa Elektrotechnika

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2004

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nr 1

20--23

13

Logarithmic screw dislocation

Wesołowski Z.

Engineering Transactions

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2004

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Vol. 52, iss.4

297-300

EN

Basing on linear elasticity, the displacement field uz=B[theta]lnr (in cylindrical coordinates r, [theta], z) was derived. This displacement has a jump on the half-plane [theta]=0. Stresses orthogonal to this discontinuity plane are continuous.

14

On logarithms of linear operators on Hilbert spaces

Schmoeger C.

Demonstratio Mathematica

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2002

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Vol. 35, nr 2

375-384

15

On a characterization of the logarithm by a mean value property

Ger R.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

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1998

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Vol. 4

1-7

EN

Any real polynomial f(x) = ax2 + bx + c, x ∈ IR, has the property that f (x)-f (y) x-y for every (x, y) ∈ IR, x ꞊ y. It turns out that that particular form of the Lagrange mean value theorem characterizes polynomials of at most second degree. Much more can be proved: J. Aczél [1] has shown that, with no regularity assumptions, a triple (/, g, h) of functions mapping IR into itself satisfies the equation f(x)-g(y) x-y= h(x + y) for all (x, y) ∈ IR, x ≠ y, if and only if there exist real constants a, 6, c such that f (x) = g(x) = ax2 + b, x + c, x ∈ IR, and h(x) = ax + b, x ∈ IR. Generalizations involving weighted arithmetic means were also considered (see e.g. M. Falkowitz [3] and the references therein) and characterizations of polynomials of higher degrees (in the same spirit) were obtained (see [4] and [5], for instance). In what follows we are going to characterize the logarithm in a similar way. To this end, denote by D the open first quadrant of the real plane IR2 with the diagonal removed, i.e. D := (O, ∞)2 \ {(x, x) e IR2 : x ∈ (0, ∞) }.Applying the classical Lagrange mean value theorem to the logaritmic function we derive the existence of a function D 3 (x, y) -> £(x,y) € intcony {x, y} such that the equality log a:-log y x-y £(z,y)