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Wyświetlanie 1-15 z 128
Tytuł:
A decomposition approach to type 2 interval arithmetic
Autorzy:
Piegat, Andrzej
Dobryakova, Larisa
Powiązania:
https://bibliotekanauki.pl/articles/330100.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
multidimensional RDM interval arithmetic
type 2 interval arithmetic
RDM type 2 interval arithmetic
decomposition type 2 interval arithmetic
interval arithmetic
Opis:
The classic interval has precise borders A = [a, ā] . Therefore, it can be called a type 1 interval. Because of great practical importance of such interval data, several versions of type 1 interval arithmetic have been created. However, sometimes precise borders a and ā of intervals cannot be determined in practice. If the borders are uncertain, then we have to do with type 2 intervals. A type 2 interval can be denoted as AT2 = [aL, aR], [āL, āR]. The paper presents multidimensional decomposition RDM type 2 interval arithmetic (D-RDM-T2-I arithmetic), where RDM means relative-distance measure. The decomposition approach considerably simplifies calculations and is transparent for users. Apart from this arithmetic, examples of its applications are also presented. To the authors’ best knowledge, no papers on this arithmetic exist. D-RDM-T2-I arithmetic is necessary to create type 2 fuzzy arithmetic based on horizontal µ-cuts, which the authors aim to do.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 1; 185-201
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Is an interval the right result of arithmetic operations on intervals?
Autorzy:
Piegat, A.
Landowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/330098.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
interval arithmetic
one dimensional interval arithmetic
multidimensional interval arithmetic
RDM interval arithmetic
arytmetyka interwałowa
arytmetyka interwałowa jednowymiarowa
arytmetyka interwałowa wielowymiarowa
Opis:
For many scientists interval arithmetic (IA, I arithmetic) seems to be easy and simple. However, this is not true. Interval arithmetic is complicated. This is confirmed by the fact that, for years, new, alternative versions of this arithmetic have been created and published. These new versions tried to remove shortcomings and weaknesses of previously proposed options of the arithmetic, which decreased the prestige not only of interval arithmetic itself, but also of fuzzy arithmetic, which, to a great extent, is based on it. In our opinion, the main reason for the observed shortcomings of the present IA is the assumption that the direct result of arithmetic operations on intervals is also an interval. However, the interval is not a direct result but only a simplified representative (indicator) of the result. This hypothesis seems surprising, but investigations prove that it is true. The paper shows what conditions should be satisfied by the result of interval arithmetic operations to call it a “result”, how great its dimensionality is, how to perform arithmetic operations and solve equations. Examples illustrate the proposed method of interval computations.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 3; 575-590
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Arithmetic functions and weighted averages
Autorzy:
de Koninck, Jean-Marie
Grah, Jacques
Powiązania:
https://bibliotekanauki.pl/articles/965954.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
mean value of arithmetic functions
arithmetic functions
weighted averages
Źródło:
Colloquium Mathematicum; 1999, 79, 2; 249-272
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computing with words with the use of inverse RDM models of membership functions
Autorzy:
Piegat, A.
Pluciński, M.
Powiązania:
https://bibliotekanauki.pl/articles/330406.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
computing with words
fuzzy arithmetic
RDM fuzzy arithmetic
granular computing
Opis:
Computing with words is a way to artificial, human-like thinking. The paper shows some new possibilities of solving difficult problems of computing with words which are offered by relative-distance-measure RDM models of fuzzy membership functions. Such models are based on RDM interval arithmetic. The way of calculation with words was shown using a specific problem of flight delay formulated by Lotfi Zadeh. The problem seems easy at first sight, but according to the authors’ knowledge it has not been solved yet. Results produced with the achieved solution were tested. The investigations also showed that computing with words sometimes offers possibilities of achieving better problem solutions than with the human mind.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 3; 675-688
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New Approach to the Uncertainty Assessment of Acoustic Effects in the Environment
Autorzy:
Batko, W.
Pawlik, P.
Powiązania:
https://bibliotekanauki.pl/articles/177204.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
interval arithmetic
uncertainty
railway noise
Opis:
The acoustic climate assessment needed for the selection of solutions (technical, legal and organisa- tional), which will help to minimise the acoustic hazards in the analysed areas, is realised on the basis of acoustic maps. The reference computational algorithms, assigned to them, require very thorough prepa- ration of input data for the considered noise source model representing – in the best possible way – the acoustic climate. These input data are burdened with certain uncertainties in this class of computational tasks. The uncertainties are related to the problem of selecting proper argument values (from the inter- val of their possible variability) for the modelled processes. This situation has a direct influence on the uncertainty of acoustic maps. The idea of applying the interval arithmetic for the assessment of acoustic models uncertainty is formulated in this paper. The computational formalism assigned to the interval arithmetic was discussed. The rules of interval estimations for the model solutions determining the sound level distribution around the analysed noise source – caused by possible errors in the input data – were presented. The application of this formalism was illustrated in uncertainty assessments of modelling acoustic influences of the railway noise linear source on the environment.
Źródło:
Archives of Acoustics; 2012, 37, 1; 57-61
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a problem of Matkowski
Autorzy:
Daróczy, Zoltán
Maksa, Gyula
Powiązania:
https://bibliotekanauki.pl/articles/965981.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
functional equation
quasi-arithmetic mean
convexity
Opis:
We solve Matkowski's problem for strictly comparable quasi-arithmetic means.
Źródło:
Colloquium Mathematicum; 1999, 82, 1; 117-123
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Residue number system (RNS)
Autorzy:
Sharoun, A. O.
Powiązania:
https://bibliotekanauki.pl/articles/376029.pdf
Data publikacji:
2013
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
residue number system
RNS
residue arithmetic
Opis:
In the residue number system, a set of moduli which are independent of each other is given. An integer is represented by the residue of each modulus and the arithmetic operations are based on the residues individually. The arithmetic operations based on residue number system can be performed on various moduli independently to avoid the carry in addition, subtraction and multiplication, which is usually time consuming. However, the comparison and division are more complicated and the fraction number computation is immatured. Due to this, a residue number system is not yet popular in general-purpose computers, though it is extremely useful for digital-signal-processing applications. This thesis deals with the design, simulation and microcontroller implementation of some (residue number system based) building blocks for applications in the field of digital signal processing. The building blocks which have been studied are binary to residue converter, residue to binary converter, residue adder and residue multiplier.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2013, 76; 265-270
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modified Distributed Arithmetic Concept for Implementations Targeted at Heterogeneous FPGAs
Autorzy:
Rawski, M.
Powiązania:
https://bibliotekanauki.pl/articles/226835.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
distributed arithmetic
FPGA
heterogeneous programmable structures
Opis:
Distributed Arithmetic (DA) plays an important role in designing digital signal processing modules for FPGA architectures. It allows replacing multiply-and-accumulate (MAC) operations with combinational blocks. The quality of implementations based on DA strongly depends on efficiency of methods that map combinational DA block into FPGA resources. Since modern FPGAs have heterogeneous structure, there is a need for quality algorithms to target these structures and the need for flexible architecture exploration aiding in appropriate mapping. The paper presents a modification of DA concept that allows for very efficient implementation in heterogeneous FPGA architectures.
Źródło:
International Journal of Electronics and Telecommunications; 2010, 56, 4; 345-350
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Parallelization of computations for lossless data compression
Autorzy:
Novikov, S.
Powiązania:
https://bibliotekanauki.pl/articles/92851.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Przyrodniczo-Humanistyczny w Siedlcach
Tematy:
coding
parallel algorithm
arithmetic progression
shortest covering
Opis:
The paper presents two algorithms of parallelization of computations for lossless data compression. It is proposed as a parallel algorithm for Huffman coding and a parallel algorithm for coding of a set of numbers by the family of arithmetic progressions.
Źródło:
Studia Informatica : systems and information technology; 2011, 1-2(15); 35-41
1731-2264
Pojawia się w:
Studia Informatica : systems and information technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
High Performance DIF-FFT Using Dissimilar Partitioned LUT Based Distributed Arithmetic
Autorzy:
Cheepurupalli, Kusma Kumari
Charan, Muntha
Rao, Jammu Bhaskara
Noor, Mahammad S.
Powiązania:
https://bibliotekanauki.pl/articles/2055270.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fast Fourier transform
adders
distributed arithmetic
DSP
Opis:
Real-time data processing systems utilize Digital Signal Processing (DSP) functions as the base modules. Most of the DSP functions involve the implementation of Fast Fourier Transform (FFT) to convert the signals from one domain to another domain. The major bottleneck of Decimation in frequency - Fast Fourier Transform (DIF-FFT) implementation lies in using a number of Multipliers. Distributed arithmetic (DA) is considered as one of the efficient techniques to implement DIF-FFT. In this approach, the multipliers are not used. The proposed technique exploits the very advantage of the look-up table by storing the Twiddle factors, thereby avoiding the multipliers required in the butterfly structure. DIF-FFT using Distributed Arithmetic (DIF-FFT DA) models, with different adders such as Ripple carry adder (RCA), Carry-lookahead adder (CLA), and Sklansky prefix graph adder, are proposed in this paper. The three proposed models are synthesized using Cadence 6.1 EDA tools with a 45nm CMOS technology. Compared to the traditional method, it is observed that the area is improved by 53.11%, 53.35%, and 50.15%, power is improved by 42.31%, 42.52%, and 40.39%, and delay is improved by 45.26%, 45.42%, 41.80%, respectively.
Źródło:
International Journal of Electronics and Telecommunications; 2021, 67, 4; 631--637
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A realistic tolerant solution of a system of interval linear equations with the use of multidimensional interval arithmetic
Autorzy:
Piegat, Andrzej
Pluciński, Marcin
Powiązania:
https://bibliotekanauki.pl/articles/11542697.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
interval arithmetic
interval linear equation
tolerable solution
multidimensional interval arithmetic
arytmetyka interwałowa
równanie liniowe przedziałowe
arytmetyka interwałowa wielowymiarowa
Opis:
The paper presents a method of determining the robustness of solutions of systems of interval linear equations (ILEs). The method can be applied also for the ILE systems for which it has been impossible to find solutions so far or for which solutions in the form of improper intervals have been obtained (which cannot be implemented in practice). The research conducted by the authors has shown that for many problems it is impossible to arrive at ideal solutions that would be fully robust to data uncertainty. However, partially robust solutions can be obtained, and those with the highest robustness can be selected and put into practice. The paper shows that the degree of robustness to the uncertainty of the entire system can be calculated on the basis of the degrees of robustness of individual equations, which greatly simplifies calculations. The presented method is illustrated with a series of examples (also benchmark ones) that facilitate its understanding. It is an extension of the authors’ previously published method for first-order ILEs.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2023, 33, 2; 229--247
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pipelined division of signed numbers with the use of residue arithmetic for small number range with the programmable gate array
Autorzy:
Smyk, R.
Ulman, Z.
Czyżak, M.
Powiązania:
https://bibliotekanauki.pl/articles/376378.pdf
Data publikacji:
2013
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
pipelining
residue number system
RNS
residue arithmetic
Opis:
In this work an architecture of the pipelined signed residue divider for the small number range is presented. Its operation is based on reciprocal calculation and multiplication by the dividend. The divisor in the signed binary form is used to compute the approximated reciprocal in the residue form by the table look-up. In order to limit the look-up table address an algoritm based on segmentation of the divisor into two segments is used. The approximate reciprocal transformed to residue representation with the proper sign is stored in look-up tables. During operation it is multiplied by the dividend in the residue form and subsequently scaled. The pipelined realization of the divider in the FPGA environment is also shown.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2013, 76; 117-126
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multifunctional unit for reverse conversion and sign detection based on five-moduli set { 2 2n , 2 n + 1, 2 n − 1, 2 n + 3, 2 n − 3 }
Autorzy:
Mojahed, Mohsen
Molahosseini, Amir Sabbagh
Zarandi, Azadeh Alsadat Emrani
Powiązania:
https://bibliotekanauki.pl/articles/2097893.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
computer arithmetic
residue number system
reverse converter
Opis:
A high dynamic range moduli set { 2 2n , 2 n + 1, 2 n − 1, 2 n + 3, 2 n − 3} has recently been introduced as an arithmetically balanced five-modull set for the residue number system (RNS). In order to utilize this moduli set in applications handling signed numbers, two important components are needed: a sign detector, and a signed reverse converter. However, having both of these components results in high-hardware requirements, which makes RNS impractical. This paper overcomes this problem by designing a unified unit that can perform both signed reverse conversion as well as sign detection through the reuse of hardware. To the authors’ knowledge, this is the first attempt to design a sign detector for a moduli set that includes a {2 n 3} moduli. In order to achieve a hardwareamenable design, we first improved the performance of the previous unsigned reverse converter for this moduli set. Then, we extracted a sign-detection method from the structure of the reverse converter. Finally, we made an unsigned reverse converter-to-sign converter through the use of the extracted sign signal from the reverse converter. The experimental results show that the proposed reverse convertor and sign detector result in improvements of 31% and 28% in area and delay, respectively, as compared to the previous unsigned reverse convertor with sign output using a comparator.
Źródło:
Computer Science; 2021, 22 (1); 101-121
1508-2806
2300-7036
Pojawia się w:
Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determination of Water Quality Index of Selected Water Bodies in Warri, Delta State, Nigeria
Autorzy:
Ama, Ibiam Ntachiobi
Ebichime, Nwajei Godwin
Agbaire, Patience Odafe
Verla, Andrew Wirnkor
Powiązania:
https://bibliotekanauki.pl/articles/1112889.pdf
Data publikacji:
2018
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
arithmetic index
physicochemical parameter
water quality index (WQI)
Opis:
Water Quality index indicating the water quality in terms of index number, offers a useful representation of overall quality of water for public or for any intended use, as well as in pollution abatement programmes and in water quality management. The present study was carried out to determine the Water Quality Index (WQI) of selected rivers in Warri, Delta State, using fourteen physicochemical parameters and on the basis of weighted Arithmetic Index in order to access the suitability of this water for consumption, recreation and other purposes. The parameters were measured monthly for one year at the six selected water bodies. In this study, WQI was determined by the analysis-on the basis of various physicochemical parameters such as pH, chlorides, electrical conductivity, dissolved oxygen, biochemical oxygen demand, total dissolved solid, total suspended solids, chlorides, sulphates, chemical oxygen demand, oil/grease. Result obtained for the different sampling sites were found to fall within the WQI classifications - poor water (100-200) to unsuitable water or unfit (>300). There is, therefore, the need to periodically assess these water bodies to ensure the quality is suitable for the intended purpose.
Źródło:
World News of Natural Sciences; 2018, 16; 42-52
2543-5426
Pojawia się w:
World News of Natural Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of transmultiplexer integer filters
Autorzy:
Ziółko, M.
Nowak, M.
Powiązania:
https://bibliotekanauki.pl/articles/229408.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fixed point arithmetic
MIMO systems
integer digital filters
Opis:
The designing of transmultiplexer systems relies on determining filters for the transmitter and receiver sides of multicarrier communication system. The perfect reconstruction conditions lead to the bilinear equations for FIR filter coefficients. Generally there is no way of finding all possible solutions. This paper describes methods of finding a large family of solutions. Particular attention is devoted to obtaining algorithms useful in fixed-point arithmetic needed to design the integer filters. As a result, the systems perform perfect reconstruction of signals. Additionally, a simple method is presented to transform any transmultiplexer into an unlimited number of different transmultiplexers. Finally, two examples of integer filters that meet perfect reconstruction conditions are shown. The first illustrates a FIR filter which does not require multiplications. The frequency properties of filters and signals are discussed for the second example.
Źródło:
Archives of Control Sciences; 2018, 28, 2; 223-238
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
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